Files
ardupilot/libraries/AP_NavEKF3/AP_NavEKF3_PosVelFusion.cpp
T
Peter Barker 5a5f79f92c AP_NavEKF3: avoid use of Location .alt field
various changes to avoid use of the Location .alt field, which should be private.

Introduces several new helper functions on Location to help with this
2025-07-22 17:46:53 +10:00

2123 lines
98 KiB
C++

#include <AP_HAL/AP_HAL.h>
#include "AP_NavEKF3.h"
#include "AP_NavEKF3_core.h"
#include <GCS_MAVLink/GCS.h>
#include <AP_DAL/AP_DAL.h>
/********************************************************
* RESET FUNCTIONS *
********************************************************/
// Reset XY velocity states to last GPS measurement if available or to zero if in constant position mode or if PV aiding is not absolute
// Do not reset vertical velocity using GPS as there is baro alt available to constrain drift
void NavEKF3_core::ResetVelocity(resetDataSource velResetSource)
{
// if reset source is not specified then use user defined velocity source
if (velResetSource == resetDataSource::DEFAULT) {
switch (frontend->sources.getVelXYSource(core_index)) {
case AP_NavEKF_Source::SourceXY::GPS:
velResetSource = resetDataSource::GPS;
break;
case AP_NavEKF_Source::SourceXY::BEACON:
velResetSource = resetDataSource::RNGBCN;
break;
case AP_NavEKF_Source::SourceXY::EXTNAV:
velResetSource = resetDataSource::EXTNAV;
break;
case AP_NavEKF_Source::SourceXY::NONE:
case AP_NavEKF_Source::SourceXY::OPTFLOW:
case AP_NavEKF_Source::SourceXY::WHEEL_ENCODER:
// unhandled sources so stick with the default
break;
}
}
// Store the velocity before the reset so that we can record the reset delta
velResetNE.x = stateStruct.velocity.x;
velResetNE.y = stateStruct.velocity.y;
// reset the corresponding covariances
zeroRows(P,4,5);
zeroCols(P,4,5);
if (PV_AidingMode != AID_ABSOLUTE) {
stateStruct.velocity.xy().zero();
// set the variances using the measurement noise parameter
P[5][5] = P[4][4] = sq(frontend->_gpsHorizVelNoise);
} else {
// reset horizontal velocity states to the GPS velocity if available
if ((imuSampleTime_ms - lastTimeGpsReceived_ms < 250 && velResetSource == resetDataSource::DEFAULT) || velResetSource == resetDataSource::GPS) {
// correct for antenna position
gps_elements gps_corrected = gpsDataNew;
CorrectGPSForAntennaOffset(gps_corrected);
stateStruct.velocity.x = gps_corrected.vel.x;
stateStruct.velocity.y = gps_corrected.vel.y;
// set the variances using the reported GPS speed accuracy
P[5][5] = P[4][4] = sq(MAX(frontend->_gpsHorizVelNoise,gpsSpdAccuracy));
#if EK3_FEATURE_EXTERNAL_NAV
} else if ((imuSampleTime_ms - extNavVelMeasTime_ms < 250 && velResetSource == resetDataSource::DEFAULT) || velResetSource == resetDataSource::EXTNAV) {
// use external nav data as the 2nd preference
// already corrected for sensor position
stateStruct.velocity.x = extNavVelDelayed.vel.x;
stateStruct.velocity.y = extNavVelDelayed.vel.y;
P[5][5] = P[4][4] = sq(extNavVelDelayed.err);
#endif // EK3_FEATURE_EXTERNAL_NAV
} else {
stateStruct.velocity.x = 0.0f;
stateStruct.velocity.y = 0.0f;
// set the variances using the likely speed range
P[5][5] = P[4][4] = sq(25.0f);
}
// clear the timeout flags and counters
velTimeout = false;
lastVelPassTime_ms = imuSampleTime_ms;
}
for (uint8_t i=0; i<imu_buffer_length; i++) {
storedOutput[i].velocity.x = stateStruct.velocity.x;
storedOutput[i].velocity.y = stateStruct.velocity.y;
}
outputDataNew.velocity.x = stateStruct.velocity.x;
outputDataNew.velocity.y = stateStruct.velocity.y;
outputDataDelayed.velocity.x = stateStruct.velocity.x;
outputDataDelayed.velocity.y = stateStruct.velocity.y;
// Calculate the velocity jump due to the reset
velResetNE.x = stateStruct.velocity.x - velResetNE.x;
velResetNE.y = stateStruct.velocity.y - velResetNE.y;
// store the time of the reset
lastVelReset_ms = imuSampleTime_ms;
}
// resets position states to last GPS measurement or to zero if in constant position mode
void NavEKF3_core::ResetPosition(resetDataSource posResetSource)
{
// if reset source is not specified thenn use the user defined position source
if (posResetSource == resetDataSource::DEFAULT) {
switch (frontend->sources.getPosXYSource(core_index)) {
case AP_NavEKF_Source::SourceXY::GPS:
posResetSource = resetDataSource::GPS;
break;
case AP_NavEKF_Source::SourceXY::BEACON:
posResetSource = resetDataSource::RNGBCN;
break;
case AP_NavEKF_Source::SourceXY::EXTNAV:
posResetSource = resetDataSource::EXTNAV;
break;
case AP_NavEKF_Source::SourceXY::NONE:
case AP_NavEKF_Source::SourceXY::OPTFLOW:
case AP_NavEKF_Source::SourceXY::WHEEL_ENCODER:
// invalid sources so stick with the default
break;
}
}
// Store the position before the reset so that we can record the reset delta
posResetNE.x = stateStruct.position.x;
posResetNE.y = stateStruct.position.y;
// reset the corresponding covariances
zeroRows(P,7,8);
zeroCols(P,7,8);
if (PV_AidingMode != AID_ABSOLUTE) {
// reset all position state history to the last known position
stateStruct.position.x = lastKnownPositionNE.x;
stateStruct.position.y = lastKnownPositionNE.y;
// set the variances using the position measurement noise parameter
P[7][7] = P[8][8] = sq(frontend->_gpsHorizPosNoise);
} else {
// Use GPS data as first preference if fresh data is available
if ((imuSampleTime_ms - lastTimeGpsReceived_ms < 250 && posResetSource == resetDataSource::DEFAULT) || posResetSource == resetDataSource::GPS) {
// correct for antenna position
gps_elements gps_corrected = gpsDataNew;
CorrectGPSForAntennaOffset(gps_corrected);
// record the ID of the GPS for the data we are using for the reset
last_gps_idx = gps_corrected.sensor_idx;
// calculate position
const Location gpsloc{gps_corrected.lat, gps_corrected.lng, 0, Location::AltFrame::ABSOLUTE};
stateStruct.position.xy() = EKF_origin.get_distance_NE_ftype(gpsloc);
// compensate for offset between last GPS measurement and the EKF time horizon. Note that this is an unusual
// time delta in that it can be both -ve and +ve
const int32_t tdiff = imuDataDelayed.time_ms - gps_corrected.time_ms;
stateStruct.position.xy() += gps_corrected.vel.xy()*0.001*tdiff;
// set the variances using the position measurement noise parameter
P[7][7] = P[8][8] = sq(MAX(gpsPosAccuracy,frontend->_gpsHorizPosNoise));
#if EK3_FEATURE_BEACON_FUSION
} else if ((imuSampleTime_ms - rngBcn.last3DmeasTime_ms < 250 && posResetSource == resetDataSource::DEFAULT) || posResetSource == resetDataSource::RNGBCN) {
// use the range beacon data as a second preference
stateStruct.position.x = rngBcn.receiverPos.x;
stateStruct.position.y = rngBcn.receiverPos.y;
// set the variances from the beacon alignment filter
P[7][7] = rngBcn.receiverPosCov[0][0];
P[8][8] = rngBcn.receiverPosCov[1][1];
#endif
#if EK3_FEATURE_EXTERNAL_NAV
} else if ((imuSampleTime_ms - extNavDataDelayed.time_ms < 250 && posResetSource == resetDataSource::DEFAULT) || posResetSource == resetDataSource::EXTNAV) {
// use external nav data as the third preference
stateStruct.position.x = extNavDataDelayed.pos.x;
stateStruct.position.y = extNavDataDelayed.pos.y;
// set the variances as received from external nav system data
P[7][7] = P[8][8] = sq(extNavDataDelayed.posErr);
#endif // EK3_FEATURE_EXTERNAL_NAV
}
}
for (uint8_t i=0; i<imu_buffer_length; i++) {
storedOutput[i].position.x = stateStruct.position.x;
storedOutput[i].position.y = stateStruct.position.y;
}
outputDataNew.position.x = stateStruct.position.x;
outputDataNew.position.y = stateStruct.position.y;
outputDataDelayed.position.x = stateStruct.position.x;
outputDataDelayed.position.y = stateStruct.position.y;
// Calculate the position jump due to the reset
posResetNE.x = stateStruct.position.x - posResetNE.x;
posResetNE.y = stateStruct.position.y - posResetNE.y;
// store the time of the reset
lastPosReset_ms = imuSampleTime_ms;
// clear the timeout flags and counters
posTimeout = false;
lastGpsPosPassTime_ms = imuSampleTime_ms;
}
#if EK3_FEATURE_POSITION_RESET
// Sets the EKF's NE horizontal position states and their corresponding variances from a supplied WGS-84 location and optionally uncertainty
// The altitude element of the location is not used. If accuracy is not known should be passed as NaN.
// Returns true if the set was successful
bool NavEKF3_core::setLatLng(const Location &loc, float posAccuracy, uint32_t timestamp_ms)
{
if ((imuSampleTime_ms - lastGpsPosPassTime_ms) < frontend->deadReckonDeclare_ms ||
(PV_AidingMode == AID_NONE)
|| !validOrigin) {
return false;
}
// Store the position before the reset so that we can record the reset delta
posResetNE.x = stateStruct.position.x;
posResetNE.y = stateStruct.position.y;
// reset the corresponding covariances
zeroRows(P,7,8);
zeroCols(P,7,8);
// handle unknown accuracy
if (isnan(posAccuracy)) {
posAccuracy = 0.0f; // will be ignored due to MAX below
}
// set the variances using the position measurement noise parameter
P[7][7] = P[8][8] = sq(MAX(posAccuracy,frontend->_gpsHorizPosNoise));
// Correct the position for time delay relative to fusion time horizon assuming a constant velocity
// Limit time stamp to a range between current time and 5 seconds ago
const uint32_t timeStampConstrained_ms = MAX(MIN(timestamp_ms, imuSampleTime_ms), imuSampleTime_ms - 5000);
const int32_t delta_ms = int32_t(imuDataDelayed.time_ms - timeStampConstrained_ms);
const ftype delaySec = 1E-3F * ftype(delta_ms);
const Vector2F newPosNE = EKF_origin.get_distance_NE_ftype(loc) + stateStruct.velocity.xy() * delaySec;
ResetPositionNE(newPosNE.x,newPosNE.y);
return true;
}
#endif // EK3_FEATURE_POSITION_RESET
// reset the stateStruct's NE position to the specified position
// posResetNE is updated to hold the change in position
// storedOutput, outputDataNew and outputDataDelayed are updated with the change in position
// lastPosReset_ms is updated with the time of the reset
void NavEKF3_core::ResetPositionNE(ftype posN, ftype posE)
{
// Store the position before the reset so that we can record the reset delta
const Vector3F posOrig = stateStruct.position;
// Set the position states to the new position
stateStruct.position.x = posN;
stateStruct.position.y = posE;
// Calculate the position offset due to the reset
posResetNE.x = stateStruct.position.x - posOrig.x;
posResetNE.y = stateStruct.position.y - posOrig.y;
// Add the offset to the output observer states
for (uint8_t i=0; i<imu_buffer_length; i++) {
storedOutput[i].position.x += posResetNE.x;
storedOutput[i].position.y += posResetNE.y;
}
outputDataNew.position.x += posResetNE.x;
outputDataNew.position.y += posResetNE.y;
outputDataDelayed.position.x += posResetNE.x;
outputDataDelayed.position.y += posResetNE.y;
// store the time of the reset
lastPosReset_ms = imuSampleTime_ms;
}
// reset the stateStruct's D position
// posResetD is updated to hold the change in position
// storedOutput, outputDataNew and outputDataDelayed are updated with the change in position
// lastPosResetD_ms is updated with the time of the reset
void NavEKF3_core::ResetPositionD(ftype posD)
{
// Store the position before the reset so that we can record the reset delta
const ftype posDOrig = stateStruct.position.z;
// write to the state vector
stateStruct.position.z = posD;
// Calculate the position jump due to the reset
posResetD = stateStruct.position.z - posDOrig;
// Add the offset to the output observer states
outputDataNew.position.z += posResetD;
vertCompFiltState.pos = outputDataNew.position.z;
outputDataDelayed.position.z += posResetD;
for (uint8_t i=0; i<imu_buffer_length; i++) {
storedOutput[i].position.z += posResetD;
}
// store the time of the reset
lastPosResetD_ms = imuSampleTime_ms;
}
// reset the vertical position state using the last height measurement
void NavEKF3_core::ResetHeight(void)
{
// Store the position before the reset so that we can record the reset delta
posResetD = stateStruct.position.z;
// write to the state vector
stateStruct.position.z = -hgtMea;
outputDataNew.position.z = stateStruct.position.z;
outputDataDelayed.position.z = stateStruct.position.z;
// reset the terrain state height
if (onGround) {
// assume vehicle is sitting on the ground
terrainState = stateStruct.position.z + rngOnGnd;
} else {
// can make no assumption other than vehicle is not below ground level
terrainState = MAX(stateStruct.position.z + rngOnGnd , terrainState);
}
for (uint8_t i=0; i<imu_buffer_length; i++) {
storedOutput[i].position.z = stateStruct.position.z;
}
vertCompFiltState.pos = stateStruct.position.z;
// Calculate the position jump due to the reset
posResetD = stateStruct.position.z - posResetD;
// store the time of the reset
lastPosResetD_ms = imuSampleTime_ms;
// clear the timeout flags and counters
hgtTimeout = false;
lastHgtPassTime_ms = imuSampleTime_ms;
// reset the corresponding covariances
zeroRows(P,9,9);
zeroCols(P,9,9);
// set the variances to the measurement variance
P[9][9] = posDownObsNoise;
// Reset the vertical velocity state using GPS vertical velocity if we are airborne
// Check that GPS vertical velocity data is available and can be used
if (inFlight &&
(gpsIsInUse || badIMUdata) &&
frontend->sources.useVelZSource(AP_NavEKF_Source::SourceZ::GPS, core_index) &&
gpsDataNew.have_vz &&
(imuSampleTime_ms - gpsDataDelayed.time_ms < 500)) {
stateStruct.velocity.z = gpsDataNew.vel.z;
#if EK3_FEATURE_EXTERNAL_NAV
} else if (inFlight && useExtNavVel && (activeHgtSource == AP_NavEKF_Source::SourceZ::EXTNAV)) {
stateStruct.velocity.z = extNavVelDelayed.vel.z;
#endif
} else if (onGround) {
stateStruct.velocity.z = 0.0f;
}
for (uint8_t i=0; i<imu_buffer_length; i++) {
storedOutput[i].velocity.z = stateStruct.velocity.z;
}
outputDataNew.velocity.z = stateStruct.velocity.z;
outputDataDelayed.velocity.z = stateStruct.velocity.z;
vertCompFiltState.vel = outputDataNew.velocity.z;
// reset the corresponding covariances
zeroRows(P,6,6);
zeroCols(P,6,6);
// set the variances to the measurement variance
#if EK3_FEATURE_EXTERNAL_NAV
if (useExtNavVel) {
P[6][6] = sq(extNavVelDelayed.err);
} else
#endif
{
P[6][6] = sq(frontend->_gpsVertVelNoise);
}
vertVelVarClipCounter = 0;
}
// Zero the EKF height datum
// Return true if the height datum reset has been performed
bool NavEKF3_core::resetHeightDatum(void)
{
if (activeHgtSource == AP_NavEKF_Source::SourceZ::RANGEFINDER || !onGround) {
// only allow resets when on the ground.
// If using using rangefinder for height then never perform a
// reset of the height datum
return false;
}
// record the old height estimate
ftype oldHgt = -stateStruct.position.z;
// reset the barometer so that it reads zero at the current height
dal.baro().update_calibration();
// reset the height state
stateStruct.position.z = 0.0f;
// adjust the height of the EKF origin so that the origin plus baro height before and after the reset is the same
if (validOrigin) {
if (!gpsGoodToAlign) {
// if we don't have GPS lock then we shouldn't be doing a
// resetHeightDatum, but if we do then the best option is
// to maintain the old error
EKF_origin.alt += (int32_t)(100.0f * oldHgt);
} else {
// if we have a good GPS lock then reset to the GPS
// altitude. This ensures the reported AMSL alt from
// getLLH() is equal to GPS altitude, while also ensuring
// that the relative alt is zero
EKF_origin.copy_alt_from(dal.gps().location());
}
ekfGpsRefHgt = (double)0.01 * (double)EKF_origin.alt;
}
// set the terrain state to zero (on ground). The adjustment for
// frame height will get added in the later constraints
terrainState = 0;
return true;
}
/*
correct GPS data for position offset of antenna phase centre relative to the IMU
*/
void NavEKF3_core::CorrectGPSForAntennaOffset(gps_elements &gps_data) const
{
// return immediately if already corrected
if (gps_data.corrected) {
return;
}
gps_data.corrected = true;
const Vector3F posOffsetBody = dal.gps().get_antenna_offset(gps_data.sensor_idx).toftype() - accelPosOffset;
if (posOffsetBody.is_zero()) {
return;
}
// TODO use a filtered angular rate with a group delay that matches the GPS delay
Vector3F angRate = imuDataDelayed.delAng * (1.0f/imuDataDelayed.delAngDT);
Vector3F velOffsetBody = angRate % posOffsetBody;
Vector3F velOffsetEarth = prevTnb.mul_transpose(velOffsetBody);
gps_data.vel -= velOffsetEarth;
Vector3F posOffsetEarth = prevTnb.mul_transpose(posOffsetBody);
Location::offset_latlng(gps_data.lat, gps_data.lng, -posOffsetEarth.x, -posOffsetEarth.y);
gps_data.hgt += posOffsetEarth.z;
}
// correct external navigation earth-frame position using sensor body-frame offset
void NavEKF3_core::CorrectExtNavForSensorOffset(ext_nav_elements &ext_nav_data)
{
// return immediately if already corrected
if (ext_nav_data.corrected) {
return;
}
ext_nav_data.corrected = true;
// external nav data is against the public_origin, so convert to offset from EKF_origin
ext_nav_data.pos.xy() += EKF_origin.get_distance_NE_ftype(public_origin);
#if HAL_VISUALODOM_ENABLED
const auto *visual_odom = dal.visualodom();
if (visual_odom == nullptr) {
return;
}
const Vector3F posOffsetBody = visual_odom->get_pos_offset().toftype() - accelPosOffset;
if (posOffsetBody.is_zero()) {
return;
}
Vector3F posOffsetEarth = prevTnb.mul_transpose(posOffsetBody);
ext_nav_data.pos.x -= posOffsetEarth.x;
ext_nav_data.pos.y -= posOffsetEarth.y;
ext_nav_data.pos.z -= posOffsetEarth.z;
#endif
}
// correct external navigation earth-frame velocity using sensor body-frame offset
void NavEKF3_core::CorrectExtNavVelForSensorOffset(ext_nav_vel_elements &ext_nav_vel_data) const
{
// return immediately if already corrected
if (ext_nav_vel_data.corrected) {
return;
}
ext_nav_vel_data.corrected = true;
#if HAL_VISUALODOM_ENABLED
const auto *visual_odom = dal.visualodom();
if (visual_odom == nullptr) {
return;
}
const Vector3F posOffsetBody = visual_odom->get_pos_offset().toftype() - accelPosOffset;
if (posOffsetBody.is_zero()) {
return;
}
// TODO use a filtered angular rate with a group delay that matches the sensor delay
const Vector3F angRate = imuDataDelayed.delAng * (1.0/imuDataDelayed.delAngDT);
ext_nav_vel_data.vel += get_vel_correction_for_sensor_offset(posOffsetBody, prevTnb, angRate);
#endif
}
// calculate velocity variance helper function
void NavEKF3_core::CalculateVelInnovationsAndVariances(const Vector3F &velocity, ftype noise, ftype accel_scale, Vector3F &innovations, Vector3F &variances) const
{
// innovations are latest estimate - latest observation
innovations = stateStruct.velocity - velocity;
const ftype obs_data_chk = sq(constrain_ftype(noise, 0.05, 5.0)) + sq(accel_scale * accNavMag);
// calculate innovation variance. velocity states start at index 4
variances.x = P[4][4] + obs_data_chk;
variances.y = P[5][5] + obs_data_chk;
variances.z = P[6][6] + obs_data_chk;
}
/********************************************************
* FUSE MEASURED_DATA *
********************************************************/
// select fusion of velocity, position and height measurements
void NavEKF3_core::SelectVelPosFusion()
{
// Check if the magnetometer has been fused on that time step and the filter is running at faster than 200 Hz
// If so, don't fuse measurements on this time step to reduce frame over-runs
// Only allow one time slip to prevent high rate magnetometer data preventing fusion of other measurements
if (magFusePerformed && dtIMUavg < 0.005f && !posVelFusionDelayed) {
posVelFusionDelayed = true;
return;
} else {
posVelFusionDelayed = false;
}
#if EK3_FEATURE_EXTERNAL_NAV
// Check for data at the fusion time horizon
extNavDataToFuse = storedExtNav.recall(extNavDataDelayed, imuDataDelayed.time_ms);
if (extNavDataToFuse) {
CorrectExtNavForSensorOffset(extNavDataDelayed);
}
extNavVelToFuse = storedExtNavVel.recall(extNavVelDelayed, imuDataDelayed.time_ms);
if (extNavVelToFuse) {
CorrectExtNavVelForSensorOffset(extNavVelDelayed);
// calculate innovations and variances for reporting purposes only
CalculateVelInnovationsAndVariances(extNavVelDelayed.vel, extNavVelDelayed.err, frontend->extNavVelVarAccScale, extNavVelInnov, extNavVelVarInnov);
// record time innovations were calculated (for timeout checks)
extNavVelInnovTime_ms = dal.millis();
}
#endif // EK3_FEATURE_EXTERNAL_NAV
// Read GPS data from the sensor
readGpsData();
readGpsYawData();
// get data that has now fallen behind the fusion time horizon
gpsDataToFuse = storedGPS.recall(gpsDataDelayed,imuDataDelayed.time_ms) && !waitingForGpsChecks;
if (gpsDataToFuse) {
CorrectGPSForAntennaOffset(gpsDataDelayed);
// calculate innovations and variances for reporting purposes only
CalculateVelInnovationsAndVariances(gpsDataDelayed.vel, frontend->_gpsHorizVelNoise.get(), frontend->gpsNEVelVarAccScale, gpsVelInnov, gpsVelVarInnov);
// record time GPS data was retrieved from the buffer (for timeout checks)
gpsRetrieveTime_ms = dal.millis();
}
// detect position source changes. Trigger position reset if position source is valid
const AP_NavEKF_Source::SourceXY posxy_source = frontend->sources.getPosXYSource(core_index);
if (posxy_source != posxy_source_last) {
posxy_source_reset = (posxy_source != AP_NavEKF_Source::SourceXY::NONE);
posxy_source_last = posxy_source;
}
// initialise all possible data we may fuse
fusePosData = false;
fuseVelData = false;
// Determine if we need to fuse position and velocity data on this time step
if (gpsDataToFuse && (PV_AidingMode == AID_ABSOLUTE) && (posxy_source == AP_NavEKF_Source::SourceXY::GPS)) {
// Don't fuse velocity data if GPS doesn't support it
fuseVelData = frontend->sources.useVelXYSource(AP_NavEKF_Source::SourceXY::GPS, core_index);
fuseVelVertData = frontend->sources.useVelZSource(AP_NavEKF_Source::SourceZ::GPS, core_index) && useGpsVertVel;
fusePosData = true;
#if EK3_FEATURE_EXTERNAL_NAV
extNavUsedForPos = false;
#endif
// copy corrected GPS data to observation vector
if (fuseVelData) {
velPosObs[0] = gpsDataDelayed.vel.x;
velPosObs[1] = gpsDataDelayed.vel.y;
}
if (fuseVelVertData) {
velPosObs[2] = gpsDataDelayed.vel.z;
}
const Location gpsloc{gpsDataDelayed.lat, gpsDataDelayed.lng, 0, Location::AltFrame::ABSOLUTE};
const Vector2F posxy = EKF_origin.get_distance_NE_ftype(gpsloc);
velPosObs[3] = posxy.x;
velPosObs[4] = posxy.y;
#if EK3_FEATURE_EXTERNAL_NAV
} else if (extNavDataToFuse && (PV_AidingMode == AID_ABSOLUTE) && (posxy_source == AP_NavEKF_Source::SourceXY::EXTNAV)) {
// use external nav system for horizontal position
extNavUsedForPos = true;
fusePosData = true;
velPosObs[3] = extNavDataDelayed.pos.x;
velPosObs[4] = extNavDataDelayed.pos.y;
#endif // EK3_FEATURE_EXTERNAL_NAV
}
#if EK3_FEATURE_EXTERNAL_NAV
// fuse external navigation velocity data if available
// extNavVelDelayed is already corrected for sensor position
if (extNavVelToFuse && frontend->sources.useVelXYSource(AP_NavEKF_Source::SourceXY::EXTNAV, core_index)) {
fuseVelData = true;
velPosObs[0] = extNavVelDelayed.vel.x;
velPosObs[1] = extNavVelDelayed.vel.y;
}
if (extNavVelToFuse && frontend->sources.useVelZSource(AP_NavEKF_Source::SourceZ::EXTNAV, core_index)) {
fuseVelVertData = true;
velPosObs[2] = extNavVelDelayed.vel.z;
}
#endif
// we have GPS data to fuse and a request to align the yaw using the GPS course
if (gpsYawResetRequest) {
realignYawGPS(false);
}
// Select height data to be fused from the available baro, range finder and GPS sources
selectHeightForFusion();
// if we are using GPS, check for a change in receiver and reset position and height
if (gpsDataToFuse && (PV_AidingMode == AID_ABSOLUTE) && (posxy_source == AP_NavEKF_Source::SourceXY::GPS) && (gpsDataDelayed.sensor_idx != last_gps_idx || posxy_source_reset)) {
// mark a source reset as consumed
posxy_source_reset = false;
// record the ID of the GPS that we are using for the reset
last_gps_idx = gpsDataDelayed.sensor_idx;
// reset the position to the GPS position
const Location gpsloc{gpsDataDelayed.lat, gpsDataDelayed.lng, 0, Location::AltFrame::ABSOLUTE};
const Vector2F posxy = EKF_origin.get_distance_NE_ftype(gpsloc);
ResetPositionNE(posxy.x, posxy.y);
// If we are also using GPS as the height reference, reset the height
if (activeHgtSource == AP_NavEKF_Source::SourceZ::GPS) {
ResetPositionD(-hgtMea);
}
}
#if EK3_FEATURE_EXTERNAL_NAV
// check for external nav position reset
if (extNavDataToFuse && (PV_AidingMode == AID_ABSOLUTE) && (posxy_source == AP_NavEKF_Source::SourceXY::EXTNAV) && (extNavDataDelayed.posReset || posxy_source_reset)) {
// mark a source reset as consumed
posxy_source_reset = false;
ResetPositionNE(extNavDataDelayed.pos.x, extNavDataDelayed.pos.y);
if (activeHgtSource == AP_NavEKF_Source::SourceZ::EXTNAV) {
ResetPositionD(-hgtMea);
}
}
#endif // EK3_FEATURE_EXTERNAL_NAV
// If we are operating without any aiding, fuse in constant position of constant
// velocity measurements to constrain tilt drift. This assumes a non-manoeuvring
// vehicle. Do this to coincide with the height fusion.
if (fuseHgtData && PV_AidingMode == AID_NONE) {
if (assume_zero_sideslip() && tiltAlignComplete && motorsArmed) {
// handle special case where we are launching a FW aircraft without magnetometer
fusePosData = false;
velPosObs[0] = 0.0f;
velPosObs[1] = 0.0f;
velPosObs[2] = stateStruct.velocity.z;
bool resetVelNE = !prevMotorsArmed;
// reset states to stop launch accel causing tilt error
if (imuDataDelayed.delVel.x > 1.1f * GRAVITY_MSS * imuDataDelayed.delVelDT) {
lastLaunchAccelTime_ms = imuSampleTime_ms;
fuseVelData = false;
fuseVelVertData = false;
resetVelNE = true;
} else if (lastLaunchAccelTime_ms != 0 && (imuSampleTime_ms - lastLaunchAccelTime_ms) < 10000) {
fuseVelData = false;
fuseVelVertData = false;
resetVelNE = true;
} else {
fuseVelData = true;
fuseVelVertData = true;
}
if (resetVelNE) {
stateStruct.velocity.x = 0.0f;
stateStruct.velocity.y = 0.0f;
}
} else {
fusePosData = true;
fuseVelData = false;
fuseVelVertData = false;
velPosObs[3] = lastKnownPositionNE.x;
velPosObs[4] = lastKnownPositionNE.y;
}
}
// perform fusion
if (fuseVelData|| fuseVelVertData || fusePosData || fuseHgtData) {
FuseVelPosNED();
// clear the flags to prevent repeated fusion of the same data
fuseVelData = false;
fuseVelVertData = false;
fuseHgtData = false;
fusePosData = false;
}
}
// fuse selected position, velocity and height measurements
void NavEKF3_core::FuseVelPosNED()
{
// declare variables used to control access to arrays
bool fuseData[6] {};
uint8_t stateIndex;
uint8_t obsIndex;
// declare variables used by state and covariance update calculations
Vector6 R_OBS; // Measurement variances used for fusion
Vector6 R_OBS_DATA_CHECKS; // Measurement variances used for data checks only
ftype SK;
// perform sequential fusion of measurements. This assumes that the
// errors in the different velocity and position components are
// uncorrelated which is not true, however in the absence of covariance
// data from sensors like GPS receivers; it is the only assumption we can make
// so we might as well take advantage of the computational efficiencies
// associated with sequential fusion
if (fuseVelData || fuseVelVertData || fusePosData || fuseHgtData) {
// estimate the velocity, horiz position and height measurement variances.
// Use different errors if operating without external aiding using an assumed position or velocity of zero
if (PV_AidingMode == AID_NONE) {
if (tiltAlignComplete && motorsArmed) {
// This is a compromise between corrections for gyro errors and reducing effect of manoeuvre accelerations on tilt estimate
R_OBS[0] = sq(constrain_ftype(frontend->_noaidHorizNoise, 0.5f, 50.0f));
} else {
// Use a smaller value to give faster initial alignment
R_OBS[0] = sq(0.5f);
}
R_OBS[1] = R_OBS[0];
R_OBS[2] = R_OBS[0];
R_OBS[3] = R_OBS[0];
R_OBS[4] = R_OBS[0];
for (uint8_t i=0; i<=2; i++) R_OBS_DATA_CHECKS[i] = R_OBS[i];
} else {
#if EK3_FEATURE_EXTERNAL_NAV
const bool extNavUsedForVel = extNavVelToFuse && frontend->sources.useVelXYSource(AP_NavEKF_Source::SourceXY::EXTNAV, core_index);
if (extNavUsedForVel) {
R_OBS[2] = R_OBS[0] = sq(constrain_ftype(extNavVelDelayed.err, 0.05f, 50.0f));
} else
#endif
if (gpsSpdAccuracy > 0.0f) {
// use GPS receivers reported speed accuracy if available and floor at value set by GPS velocity noise parameter
R_OBS[0] = sq(constrain_ftype(gpsSpdAccuracy, frontend->_gpsHorizVelNoise, 50.0f));
R_OBS[2] = sq(constrain_ftype(gpsSpdAccuracy, frontend->_gpsVertVelNoise, 50.0f));
} else {
// calculate additional error in GPS velocity caused by manoeuvring
R_OBS[0] = sq(constrain_ftype(frontend->_gpsHorizVelNoise, 0.05f, 5.0f)) + sq(frontend->gpsNEVelVarAccScale * accNavMag);
R_OBS[2] = sq(constrain_ftype(frontend->_gpsVertVelNoise, 0.05f, 5.0f)) + sq(frontend->gpsDVelVarAccScale * accNavMag);
}
R_OBS[1] = R_OBS[0];
// Use GPS reported position accuracy if available and floor at value set by GPS position noise parameter
#if EK3_FEATURE_EXTERNAL_NAV
if (extNavUsedForPos) {
R_OBS[3] = sq(constrain_ftype(extNavDataDelayed.posErr, 0.01f, 100.0f));
} else
#endif
if (gpsPosAccuracy > 0.0f) {
R_OBS[3] = sq(constrain_ftype(gpsPosAccuracy, frontend->_gpsHorizPosNoise, 100.0f));
} else {
// calculate additional error in GPS position caused by manoeuvring
const ftype posErr = frontend->gpsPosVarAccScale * accNavMag;
R_OBS[3] = sq(constrain_ftype(frontend->_gpsHorizPosNoise, 0.1f, 10.0f)) + sq(posErr);
}
R_OBS[4] = R_OBS[3];
// For data integrity checks we use the same measurement variances as used to calculate the Kalman gains for all measurements except GPS horizontal velocity
// For horizontal GPS velocity we don't want the acceptance radius to increase with reported GPS accuracy so we use a value based on best GPS performance
// plus a margin for manoeuvres. It is better to reject GPS horizontal velocity errors early
ftype obs_data_chk;
#if EK3_FEATURE_EXTERNAL_NAV
if (extNavUsedForVel) {
obs_data_chk = sq(constrain_ftype(extNavVelDelayed.err, 0.05f, 5.0f)) + sq(frontend->extNavVelVarAccScale * accNavMag);
} else
#endif
{
obs_data_chk = sq(constrain_ftype(frontend->_gpsHorizVelNoise, 0.05f, 5.0f)) + sq(frontend->gpsNEVelVarAccScale * accNavMag);
}
R_OBS_DATA_CHECKS[0] = R_OBS_DATA_CHECKS[1] = R_OBS_DATA_CHECKS[2] = obs_data_chk;
}
R_OBS[5] = posDownObsNoise;
for (uint8_t i=3; i<=5; i++) R_OBS_DATA_CHECKS[i] = R_OBS[i];
// if vertical GPS velocity data and an independent height source is being used, check to see if the GPS vertical velocity and altimeter
// innovations have the same sign and are outside limits. If so, then it is likely aliasing is affecting
// the accelerometers and we should disable the GPS and barometer innovation consistency checks.
const bool fuse_gps_vz = frontend->sources.useVelZSource(AP_NavEKF_Source::SourceZ::GPS, core_index) && gpsDataDelayed.have_vz;
if (fuse_gps_vz && fuseVelVertData && (frontend->sources.getPosZSource(core_index) != AP_NavEKF_Source::SourceZ::GPS)) {
// calculate innovations for height and vertical GPS vel measurements
const ftype hgtErr = stateStruct.position.z - velPosObs[5];
const ftype velDErr = stateStruct.velocity.z - velPosObs[2];
// Check if they are the same sign and both more than 3-sigma out of bounds
// Step the test threshold up in stages from 1 to 2 to 3 sigma after exiting
// from a previous bad IMU event so that a subsequent error is caught more quickly.
const uint32_t timeSinceLastBadIMU_ms = imuSampleTime_ms - badIMUdata_ms;
float R_gain;
if (timeSinceLastBadIMU_ms > (BAD_IMU_DATA_HOLD_MS * 2)) {
R_gain = 9.0F;
} else if (timeSinceLastBadIMU_ms > ((BAD_IMU_DATA_HOLD_MS * 3) / 2)) {
R_gain = 4.0F;
} else {
R_gain = 1.0F;
}
if ((hgtErr*velDErr > 0.0f) && (sq(hgtErr) > R_gain * R_OBS[5]) && (sq(velDErr) >R_gain * R_OBS[2])) {
badIMUdata_ms = imuSampleTime_ms;
} else {
goodIMUdata_ms = imuSampleTime_ms;
}
if (timeSinceLastBadIMU_ms < BAD_IMU_DATA_HOLD_MS) {
badIMUdata = true;
stateStruct.velocity.z = gpsDataDelayed.vel.z;
} else {
badIMUdata = false;
}
}
// Test horizontal position measurements
if (fusePosData) {
innovVelPos[3] = stateStruct.position.x - velPosObs[3];
innovVelPos[4] = stateStruct.position.y - velPosObs[4];
varInnovVelPos[3] = P[7][7] + R_OBS_DATA_CHECKS[3];
varInnovVelPos[4] = P[8][8] + R_OBS_DATA_CHECKS[4];
// Apply an innovation consistency threshold test
// Don't allow test to fail if not navigating and using a constant position
// assumption to constrain tilt errors because innovations can become large
// due to vehicle motion.
ftype maxPosInnov2 = sq(MAX(0.01 * (ftype)frontend->_gpsPosInnovGate, 1.0))*(varInnovVelPos[3] + varInnovVelPos[4]);
posTestRatio = (sq(innovVelPos[3]) + sq(innovVelPos[4])) / maxPosInnov2;
bool posCheckPassed = false; // boolean true if position measurements have passed innovation consistency check
if (posTestRatio < 1.0f || (PV_AidingMode == AID_NONE)) {
posCheckPassed = true;
lastGpsPosPassTime_ms = imuSampleTime_ms;
} else if ((frontend->_gpsGlitchRadiusMax <= 0) && (PV_AidingMode != AID_NONE)) {
// Handle the special case where the glitch radius parameter has been set to a non-positive number.
// The innovation variance is increased to limit the state update to an amount corresponding
// to a test ratio of 1.
lastGpsPosPassTime_ms = imuSampleTime_ms;
varInnovVelPos[3] *= posTestRatio;
varInnovVelPos[4] *= posTestRatio;
posCheckPassed = true;
lastGpsPosPassTime_ms = imuSampleTime_ms;
}
// Use position data if healthy or timed out or bad IMU data
// Always fuse data if bad IMU to prevent aliasing and clipping pulling the state estimate away
// from the measurement un-opposed if test threshold is exceeded.
if (posCheckPassed || posTimeout || badIMUdata) {
// if timed out or outside the specified uncertainty radius, reset to the external sensor
// if velocity drift is being constrained, dont reset until gps passes quality checks
const bool posVarianceIsTooLarge = (frontend->_gpsGlitchRadiusMax > 0) && (P[8][8] + P[7][7]) > sq(ftype(frontend->_gpsGlitchRadiusMax));
if ((posTimeout || posVarianceIsTooLarge) && (!velAiding || gpsGoodToAlign)) {
// reset the position to the current external sensor position
ResetPosition(resetDataSource::DEFAULT);
// Don't fuse the same data we have used to reset states.
fusePosData = false;
// Reset the position variances and corresponding covariances to a value that will pass the checks
zeroRows(P,7,8);
zeroCols(P,7,8);
P[7][7] = sq(ftype(0.5f*frontend->_gpsGlitchRadiusMax));
P[8][8] = P[7][7];
// Reset the normalised innovation to avoid failing the bad fusion tests
posTestRatio = 0.0f;
// Reset velocity if it has timed out
if (velTimeout) {
ResetVelocity(resetDataSource::DEFAULT);
// Don't fuse the same data we have used to reset states.
fuseVelData = false;
// Reset the normalised innovation to avoid failing the bad fusion tests
velTestRatio = 0.0f;
}
}
} else {
fusePosData = false;
}
}
// Test velocity measurements
if (fuseVelData) {
uint8_t imax = 2;
// Don't fuse vertical velocity observations if disabled in sources or not available
const bool fuse_extnav_vz = frontend->sources.useVelZSource(AP_NavEKF_Source::SourceZ::EXTNAV, core_index) && useExtNavVel;
if ((PV_AidingMode != AID_ABSOLUTE || !fuse_gps_vz) && !fuse_extnav_vz) {
imax = 1;
}
// Apply an innovation consistency threshold test
ftype innovVelSumSq = 0; // sum of squares of velocity innovations
ftype varVelSum = 0; // sum of velocity innovation variances
for (uint8_t i = 0; i<=imax; i++) {
stateIndex = i + 4;
const float innovation = stateStruct.velocity[i] - velPosObs[i];
innovVelSumSq += sq(innovation);
varInnovVelPos[i] = P[stateIndex][stateIndex] + R_OBS_DATA_CHECKS[i];
varVelSum += varInnovVelPos[i];
}
velTestRatio = innovVelSumSq / (varVelSum * sq(MAX(0.01 * (ftype)frontend->_gpsVelInnovGate, 1.0)));
bool velCheckPassed = false; // boolean true if velocity measurements have passed innovation consistency checks
if (velTestRatio < 1.0) {
velCheckPassed = true;
lastVelPassTime_ms = imuSampleTime_ms;
} else if (frontend->_gpsGlitchRadiusMax <= 0) {
// Handle the special case where the glitch radius parameter has been set to a non-positive number.
// The innovation variance is increased to limit the state update to an amount corresponding
// to a test ratio of 1.
lastGpsPosPassTime_ms = imuSampleTime_ms;
for (uint8_t i = 0; i<=imax; i++) {
varInnovVelPos[i] *= velTestRatio;
}
velCheckPassed = true;
lastVelPassTime_ms = imuSampleTime_ms;
}
// Use velocity data if healthy, timed out or when IMU fault has been detected
// Always fuse data if bad IMU to prevent aliasing and clipping pulling the state estimate away
// from the measurement un-opposed if test threshold is exceeded.
if (velCheckPassed || velTimeout || badIMUdata) {
// If we are doing full aiding and velocity fusion times out, reset to the external sensor velocity
if (PV_AidingMode == AID_ABSOLUTE && velTimeout) {
ResetVelocity(resetDataSource::DEFAULT);
// Don't fuse the same data we have used to reset states.
fuseVelData = false;
// Reset the normalised innovation to avoid failing the bad fusion tests
velTestRatio = 0.0f;
}
} else {
fuseVelData = false;
}
}
// Test height measurements
if (fuseHgtData) {
// Calculate height innovations
innovVelPos[5] = stateStruct.position.z - velPosObs[5];
varInnovVelPos[5] = P[9][9] + R_OBS_DATA_CHECKS[5];
// Calculate the innovation consistency test ratio
hgtTestRatio = sq(innovVelPos[5]) / (sq(MAX(0.01 * (ftype)frontend->_hgtInnovGate, 1.0)) * varInnovVelPos[5]);
// When on ground we accept a larger test ratio to allow the filter to handle large switch on IMU
// bias errors without rejecting the height sensor.
const bool onGroundNotNavigating = (PV_AidingMode == AID_NONE) && onGround;
const float maxTestRatio = onGroundNotNavigating ? 3.0f : 1.0f;
bool hgtCheckPassed = false; // boolean true if height measurements have passed innovation consistency check
if (hgtTestRatio < maxTestRatio) {
hgtCheckPassed = true;
lastHgtPassTime_ms = imuSampleTime_ms;
} else if ((frontend->_gpsGlitchRadiusMax <= 0) && !onGroundNotNavigating && (activeHgtSource == AP_NavEKF_Source::SourceZ::GPS)) {
// Handle the special case where the glitch radius parameter has been set to a non-positive number.
// The innovation variance is increased to limit the state update to an amount corresponding
// to a test ratio of 1.
lastGpsPosPassTime_ms = imuSampleTime_ms;
varInnovVelPos[5] *= hgtTestRatio;
hgtCheckPassed = true;
lastHgtPassTime_ms = imuSampleTime_ms;
}
// Use height data if innovation check passed or timed out or if bad IMU data
// Always fuse data if bad IMU to prevent aliasing and clipping pulling the state estimate away
// from the measurement un-opposed if test threshold is exceeded.
if (hgtCheckPassed || hgtTimeout || badIMUdata) {
// Calculate a filtered value to be used by pre-flight health checks
// We need to filter because wind gusts can generate significant baro noise and we want to be able to detect bias errors in the inertial solution
if (onGround) {
ftype dtBaro = (imuSampleTime_ms - lastHgtPassTime_ms) * 1.0e-3;
const ftype hgtInnovFiltTC = 2.0;
ftype alpha = constrain_ftype(dtBaro/(dtBaro+hgtInnovFiltTC), 0.0, 1.0);
hgtInnovFiltState += (innovVelPos[5] - hgtInnovFiltState)*alpha;
} else {
hgtInnovFiltState = 0.0f;
}
if (hgtTimeout) {
ResetHeight();
// Don't fuse the same data we have used to reset states.
fuseHgtData = false;
}
} else {
fuseHgtData = false;
}
}
// set range for sequential fusion of velocity and position measurements depending on which data is available and its health
if (fuseVelData) {
fuseData[0] = true;
fuseData[1] = true;
// currently we do not support independant vertical velocity measurement fuision
if (fuseVelVertData) {
fuseData[2] = true;
}
}
if (fusePosData) {
fuseData[3] = true;
fuseData[4] = true;
}
if (fuseHgtData) {
fuseData[5] = true;
}
// fuse measurements sequentially
for (obsIndex=0; obsIndex<=5; obsIndex++) {
if (fuseData[obsIndex]) {
stateIndex = 4 + obsIndex;
// calculate the measurement innovation, using states from a different time coordinate if fusing height data
// adjust scaling on GPS measurement noise variances if not enough satellites
if (obsIndex <= 2) {
innovVelPos[obsIndex] = stateStruct.velocity[obsIndex] - velPosObs[obsIndex];
if (frontend->sources.useVelXYSource(AP_NavEKF_Source::SourceXY::GPS, core_index)) {
R_OBS[obsIndex] *= sq(gpsNoiseScaler);
}
} else if (obsIndex == 3 || obsIndex == 4) {
innovVelPos[obsIndex] = stateStruct.position[obsIndex-3] - velPosObs[obsIndex];
if (frontend->sources.getPosXYSource(core_index) == AP_NavEKF_Source::SourceXY::GPS) {
R_OBS[obsIndex] *= sq(gpsNoiseScaler);
}
} else if (obsIndex == 5) {
innovVelPos[obsIndex] = stateStruct.position[obsIndex-3] - velPosObs[obsIndex];
const ftype gndMaxBaroErr = MAX(frontend->_baroGndEffectDeadZone, 0.0);
const ftype gndBaroInnovFloor = -0.5;
if ((dal.get_touchdown_expected() || dal.get_takeoff_expected()) && activeHgtSource == AP_NavEKF_Source::SourceZ::BARO) {
// when baro positive pressure error due to ground effect is expected,
// floor the barometer innovation at gndBaroInnovFloor
// constrain the correction between 0 and gndBaroInnovFloor+gndMaxBaroErr
// this function looks like this:
// |/
//---------|---------
// ____/|
// / |
// / |
innovVelPos[5] += constrain_ftype(-innovVelPos[5]+gndBaroInnovFloor, 0.0f, gndBaroInnovFloor+gndMaxBaroErr);
}
}
// calculate the Kalman gain and calculate innovation variances
varInnovVelPos[obsIndex] = P[stateIndex][stateIndex] + R_OBS[obsIndex];
SK = 1.0f/varInnovVelPos[obsIndex];
for (uint8_t i= 0; i<=9; i++) {
Kfusion[i] = P[i][stateIndex]*SK;
}
// inhibit delta angle bias state estimation by setting Kalman gains to zero
if (!inhibitDelAngBiasStates) {
for (uint8_t i = 10; i<=12; i++) {
// Don't try to learn gyro bias if not aiding and the axis is
// less than 45 degrees from vertical because the bias is poorly observable
bool poorObservability = false;
if (PV_AidingMode == AID_NONE) {
const uint8_t axisIndex = i - 10;
if (axisIndex == 0) {
poorObservability = fabsF(prevTnb.a.z) > M_SQRT1_2;
} else if (axisIndex == 1) {
poorObservability = fabsF(prevTnb.b.z) > M_SQRT1_2;
} else {
poorObservability = fabsF(prevTnb.c.z) > M_SQRT1_2;
}
}
if (poorObservability) {
Kfusion[i] = 0.0;
} else {
Kfusion[i] = P[i][stateIndex]*SK;
}
}
} else {
// zero indexes 10 to 12
zero_range(&Kfusion[0], 10, 12);
}
// Inhibit delta velocity bias state estimation by setting Kalman gains to zero
// Don't use 'fake' horizontal measurements used to constrain attitude drift during
// periods of non-aiding to learn bias as these can give incorrect esitmates.
const bool horizInhibit = PV_AidingMode == AID_NONE && obsIndex != 2 && obsIndex != 5;
if (!horizInhibit && !inhibitDelVelBiasStates && !badIMUdata) {
for (uint8_t i = 13; i<=15; i++) {
if (!dvelBiasAxisInhibit[i-13]) {
Kfusion[i] = P[i][stateIndex]*SK;
} else {
Kfusion[i] = 0.0f;
}
}
} else {
// zero indexes 13 to 15
zero_range(&Kfusion[0], 13, 15);
}
// inhibit magnetic field state estimation by setting Kalman gains to zero
if (!inhibitMagStates) {
for (uint8_t i = 16; i<=21; i++) {
Kfusion[i] = P[i][stateIndex]*SK;
}
} else {
// zero indexes 16 to 21
zero_range(&Kfusion[0], 16, 21);
}
// inhibit wind state estimation by setting Kalman gains to zero
if (!inhibitWindStates && !treatWindStatesAsTruth) {
Kfusion[22] = P[22][stateIndex]*SK;
Kfusion[23] = P[23][stateIndex]*SK;
} else {
// zero indexes 22 to 23
zero_range(&Kfusion[0], 22, 23);
}
// update the covariance - take advantage of direct observation of a single state at index = stateIndex to reduce computations
// this is a numerically optimised implementation of standard equation P = (I - K*H)*P;
for (uint8_t i= 0; i<=stateIndexLim; i++) {
for (uint8_t j= 0; j<=stateIndexLim; j++) {
KHP[i][j] = Kfusion[i] * P[stateIndex][j];
}
}
// Check that we are not going to drive any variances negative and skip the update if so
bool healthyFusion = true;
for (uint8_t i= 0; i<=stateIndexLim; i++) {
if (KHP[i][i] > P[i][i]) {
healthyFusion = false;
}
}
if (healthyFusion) {
// update the covariance matrix
for (uint8_t i= 0; i<=stateIndexLim; i++) {
for (uint8_t j= 0; j<=stateIndexLim; j++) {
P[i][j] = P[i][j] - KHP[i][j];
}
}
// force the covariance matrix to be symmetrical and limit the variances to prevent ill-conditioning.
ForceSymmetry();
ConstrainVariances();
// update states and renormalise the quaternions
for (uint8_t i = 0; i<=stateIndexLim; i++) {
statesArray[i] = statesArray[i] - Kfusion[i] * innovVelPos[obsIndex];
}
stateStruct.quat.normalize();
// record good fusion status
if (obsIndex == 0) {
faultStatus.bad_nvel = false;
} else if (obsIndex == 1) {
faultStatus.bad_evel = false;
} else if (obsIndex == 2) {
faultStatus.bad_dvel = false;
} else if (obsIndex == 3) {
faultStatus.bad_npos = false;
} else if (obsIndex == 4) {
faultStatus.bad_epos = false;
} else if (obsIndex == 5) {
faultStatus.bad_dpos = false;
}
} else {
// record bad fusion status
if (obsIndex == 0) {
faultStatus.bad_nvel = true;
} else if (obsIndex == 1) {
faultStatus.bad_evel = true;
} else if (obsIndex == 2) {
faultStatus.bad_dvel = true;
} else if (obsIndex == 3) {
faultStatus.bad_npos = true;
} else if (obsIndex == 4) {
faultStatus.bad_epos = true;
} else if (obsIndex == 5) {
faultStatus.bad_dpos = true;
}
}
}
}
}
}
/********************************************************
* MISC FUNCTIONS *
********************************************************/
// select the height measurement to be fused from the available baro, range finder and GPS sources
void NavEKF3_core::selectHeightForFusion()
{
#if AP_RANGEFINDER_ENABLED
// Read range finder data and check for new data in the buffer
// This data is used by both height and optical flow fusion processing
readRangeFinder();
rangeDataToFuse = storedRange.recall(rangeDataDelayed,imuDataDelayed.time_ms);
// correct range data for the body frame position offset relative to the IMU
// the corrected reading is the reading that would have been taken if the sensor was
// co-located with the IMU
const auto *_rng = dal.rangefinder();
if (_rng && rangeDataToFuse) {
auto *sensor = _rng->get_backend(rangeDataDelayed.sensor_idx);
if (sensor != nullptr) {
Vector3F posOffsetBody = sensor->get_pos_offset().toftype() - accelPosOffset;
if (!posOffsetBody.is_zero()) {
Vector3F posOffsetEarth = prevTnb.mul_transpose(posOffsetBody);
rangeDataDelayed.rng += posOffsetEarth.z / prevTnb.c.z;
}
}
}
#endif // AP_RANGEFINDER_ENABLED
// read baro height data from the sensor and check for new data in the buffer
readBaroData();
baroDataToFuse = storedBaro.recall(baroDataDelayed, imuDataDelayed.time_ms);
bool rangeFinderDataIsFresh = (imuSampleTime_ms - rngValidMeaTime_ms < 500);
#if EK3_FEATURE_EXTERNAL_NAV
const bool extNavDataIsFresh = (imuSampleTime_ms - extNavMeasTime_ms < 500);
#endif
// select height source
if ((frontend->sources.getPosZSource(core_index) == AP_NavEKF_Source::SourceZ::NONE)) {
// user has specified no height sensor
activeHgtSource = AP_NavEKF_Source::SourceZ::NONE;
#if AP_RANGEFINDER_ENABLED
} else if ((frontend->sources.getPosZSource(core_index) == AP_NavEKF_Source::SourceZ::RANGEFINDER) && _rng && rangeFinderDataIsFresh) {
// user has specified the range finder as a primary height source
activeHgtSource = AP_NavEKF_Source::SourceZ::RANGEFINDER;
} else if ((frontend->_useRngSwHgt > 0) && ((frontend->sources.getPosZSource(core_index) == AP_NavEKF_Source::SourceZ::BARO) || (frontend->sources.getPosZSource(core_index) == AP_NavEKF_Source::SourceZ::GPS)) && _rng && rangeFinderDataIsFresh) {
// determine if we are above or below the height switch region
const ftype rangeMaxUse = 1e-2 * (ftype)_rng->max_distance_orient(ROTATION_PITCH_270) * (ftype)frontend->_useRngSwHgt;
bool aboveUpperSwHgt = (terrainState - stateStruct.position.z) > rangeMaxUse;
bool belowLowerSwHgt = ((terrainState - stateStruct.position.z) < 0.7f * rangeMaxUse) && (imuSampleTime_ms - gndHgtValidTime_ms < 1000);
// If the terrain height is consistent and we are moving slowly, then it can be
// used as a height reference in combination with a range finder
// apply a hysteresis to the speed check to prevent rapid switching
bool dontTrustTerrain, trustTerrain;
if (filterStatus.flags.horiz_vel) {
// We can use the velocity estimate
ftype horizSpeed = stateStruct.velocity.xy().length();
dontTrustTerrain = (horizSpeed > frontend->_useRngSwSpd) || !terrainHgtStable;
ftype trust_spd_trigger = MAX((frontend->_useRngSwSpd - 1.0f),(frontend->_useRngSwSpd * 0.5f));
trustTerrain = (horizSpeed < trust_spd_trigger) && terrainHgtStable;
} else {
// We can't use the velocity estimate
dontTrustTerrain = !terrainHgtStable;
trustTerrain = terrainHgtStable;
}
/*
* Switch between range finder and primary height source using height above ground and speed thresholds with
* hysteresis to avoid rapid switching. Using range finder for height requires a consistent terrain height
* which cannot be assumed if the vehicle is moving horizontally.
*/
if ((aboveUpperSwHgt || dontTrustTerrain) && (activeHgtSource == AP_NavEKF_Source::SourceZ::RANGEFINDER)) {
// cannot trust terrain or range finder so stop using range finder height
if (frontend->sources.getPosZSource(core_index) == AP_NavEKF_Source::SourceZ::BARO) {
activeHgtSource = AP_NavEKF_Source::SourceZ::BARO;
} else if (frontend->sources.getPosZSource(core_index) == AP_NavEKF_Source::SourceZ::GPS) {
activeHgtSource = AP_NavEKF_Source::SourceZ::GPS;
}
} else if (belowLowerSwHgt && trustTerrain && (prevTnb.c.z >= 0.7f)) {
// reliable terrain and range finder so start using range finder height
activeHgtSource = AP_NavEKF_Source::SourceZ::RANGEFINDER;
}
#endif
} else if (frontend->sources.getPosZSource(core_index) == AP_NavEKF_Source::SourceZ::BARO) {
activeHgtSource = AP_NavEKF_Source::SourceZ::BARO;
} else if ((frontend->sources.getPosZSource(core_index) == AP_NavEKF_Source::SourceZ::GPS) && ((imuSampleTime_ms - lastTimeGpsReceived_ms) < 500) && validOrigin && gpsAccuracyGood) {
activeHgtSource = AP_NavEKF_Source::SourceZ::GPS;
#if EK3_FEATURE_BEACON_FUSION
} else if ((frontend->sources.getPosZSource(core_index) == AP_NavEKF_Source::SourceZ::BEACON) && validOrigin && rngBcn.goodToAlign) {
activeHgtSource = AP_NavEKF_Source::SourceZ::BEACON;
#endif
#if EK3_FEATURE_EXTERNAL_NAV
} else if ((frontend->sources.getPosZSource(core_index) == AP_NavEKF_Source::SourceZ::EXTNAV) && extNavDataIsFresh) {
activeHgtSource = AP_NavEKF_Source::SourceZ::EXTNAV;
#endif
}
// Use Baro alt as a fallback if we lose range finder, GPS, external nav or Beacon
bool lostRngHgt = ((activeHgtSource == AP_NavEKF_Source::SourceZ::RANGEFINDER) && !rangeFinderDataIsFresh);
bool lostGpsHgt = ((activeHgtSource == AP_NavEKF_Source::SourceZ::GPS) && ((imuSampleTime_ms - lastTimeGpsReceived_ms) > 2000 || !gpsAccuracyGoodForAltitude));
#if EK3_FEATURE_BEACON_FUSION
bool lostRngBcnHgt = ((activeHgtSource == AP_NavEKF_Source::SourceZ::BEACON) && ((imuSampleTime_ms - rngBcn.dataDelayed.time_ms) > 2000));
#endif
bool fallback_to_baro =
lostRngHgt
|| lostGpsHgt
#if EK3_FEATURE_BEACON_FUSION
|| lostRngBcnHgt
#endif
;
#if EK3_FEATURE_EXTERNAL_NAV
bool lostExtNavHgt = ((activeHgtSource == AP_NavEKF_Source::SourceZ::EXTNAV) && !extNavDataIsFresh);
fallback_to_baro |= lostExtNavHgt;
#endif
if (fallback_to_baro) {
activeHgtSource = AP_NavEKF_Source::SourceZ::BARO;
}
// if there is new baro data to fuse, calculate filtered baro data required by other processes
if (baroDataToFuse) {
// calculate offset to baro data that enables us to switch to Baro height use during operation
if (activeHgtSource != AP_NavEKF_Source::SourceZ::BARO) {
calcFiltBaroOffset();
}
// filtered baro data used to provide a reference for takeoff
// it is is reset to last height measurement on disarming in performArmingChecks()
if (!dal.get_takeoff_expected()) {
const ftype gndHgtFiltTC = 0.5;
const ftype dtBaro = frontend->hgtAvg_ms*1.0e-3;
ftype alpha = constrain_ftype(dtBaro / (dtBaro+gndHgtFiltTC),0.0,1.0);
meaHgtAtTakeOff += (baroDataDelayed.hgt-meaHgtAtTakeOff)*alpha;
}
}
// If we are not using GPS as the primary height sensor, correct EKF origin height so that
// combined local NED position height and origin height remains consistent with the GPS altitude
// This also enables the GPS height to be used as a backup height source
if (gpsDataToFuse &&
(((frontend->_originHgtMode & (1 << 0)) && (activeHgtSource == AP_NavEKF_Source::SourceZ::BARO)) ||
((frontend->_originHgtMode & (1 << 1)) && (activeHgtSource == AP_NavEKF_Source::SourceZ::RANGEFINDER)))
) {
correctEkfOriginHeight();
}
// Select the height measurement source
#if EK3_FEATURE_EXTERNAL_NAV
if (extNavDataToFuse && (activeHgtSource == AP_NavEKF_Source::SourceZ::EXTNAV)) {
hgtMea = -extNavDataDelayed.pos.z;
velPosObs[5] = -hgtMea;
posDownObsNoise = sq(constrain_ftype(extNavDataDelayed.posErr, 0.1f, 10.0f));
fuseHgtData = true;
} else
#endif // EK3_FEATURE_EXTERNAL_NAV
if (rangeDataToFuse && (activeHgtSource == AP_NavEKF_Source::SourceZ::RANGEFINDER)) {
// using range finder data
// correct for tilt using a flat earth model
if (prevTnb.c.z >= 0.7) {
// calculate height above ground
hgtMea = MAX(rangeDataDelayed.rng * prevTnb.c.z, rngOnGnd);
// correct for terrain position relative to datum
hgtMea -= terrainState;
// correct sensor so that local position height adjusts to match GPS
if (frontend->_originHgtMode & (1 << 1) && frontend->_originHgtMode & (1 << 2)) {
// offset has to be applied to the measurement, not the NED origin
hgtMea += (float)(ekfGpsRefHgt - 0.01 * (double)EKF_origin.alt);
}
velPosObs[5] = -hgtMea;
// enable fusion
fuseHgtData = true;
// set the observation noise
posDownObsNoise = sq(constrain_ftype(frontend->_rngNoise, 0.1f, 10.0f));
// add uncertainty created by terrain gradient and vehicle tilt
posDownObsNoise += sq(rangeDataDelayed.rng * frontend->_terrGradMax) * MAX(0.0f , (1.0f - sq(prevTnb.c.z)));
} else {
// disable fusion if tilted too far
fuseHgtData = false;
}
} else if (gpsDataToFuse && (activeHgtSource == AP_NavEKF_Source::SourceZ::GPS)) {
// using GPS data
hgtMea = gpsDataDelayed.hgt;
velPosObs[5] = -hgtMea;
// enable fusion
fuseHgtData = true;
// set the observation noise using receiver reported accuracy or the horizontal noise scaled for typical VDOP/HDOP ratio
if (gpsHgtAccuracy > 0.0f) {
posDownObsNoise = sq(constrain_ftype(gpsHgtAccuracy, 1.5f * frontend->_gpsHorizPosNoise, 100.0f));
} else {
posDownObsNoise = sq(constrain_ftype(1.5f * frontend->_gpsHorizPosNoise, 0.1f, 10.0f));
}
} else if (baroDataToFuse && (activeHgtSource == AP_NavEKF_Source::SourceZ::BARO)) {
// using Baro data
hgtMea = baroDataDelayed.hgt - baroHgtOffset;
// correct sensor so that local position height adjusts to match GPS
if (frontend->_originHgtMode & (1 << 0) && frontend->_originHgtMode & (1 << 2)) {
hgtMea += (float)(ekfGpsRefHgt - 0.01 * (double)EKF_origin.alt);
}
// enable fusion
fuseHgtData = true;
// set the observation noise
posDownObsNoise = sq(constrain_ftype(frontend->_baroAltNoise, 0.1f, 100.0f));
// reduce weighting (increase observation noise) on baro if we are likely to be experiencing rotor wash ground interaction
if (dal.get_takeoff_expected() || dal.get_touchdown_expected()) {
posDownObsNoise *= frontend->gndEffectBaroScaler;
}
velPosObs[5] = -hgtMea;
} else if ((activeHgtSource == AP_NavEKF_Source::SourceZ::NONE && imuSampleTime_ms - lastHgtPassTime_ms > 70)) {
// fuse a constant height of 0 at 14 Hz
hgtMea = 0.0f;
fuseHgtData = true;
velPosObs[5] = -hgtMea;
if (onGround) {
// use a typical vertical positoin observation noise when not flying for faster IMU delta velocity bias estimation
posDownObsNoise = sq(2.0f);
} else {
// alow a larger value when flying to accomodate vertical maneouvres
posDownObsNoise = sq(constrain_ftype(frontend->_baroAltNoise, 2.0f, 100.0f));
}
} else {
fuseHgtData = false;
}
// detect changes in source and reset height
if ((activeHgtSource != prevHgtSource) && fuseHgtData) {
prevHgtSource = activeHgtSource;
ResetPositionD(-hgtMea);
}
// If we haven't fused height data for a while or have bad IMU data, then declare the height data as being timed out
// set height timeout period based on whether we have vertical GPS velocity available to constrain drift
hgtRetryTime_ms = ((useGpsVertVel || useExtNavVel) && !velTimeout) ? frontend->hgtRetryTimeMode0_ms : frontend->hgtRetryTimeMode12_ms;
if (imuSampleTime_ms - lastHgtPassTime_ms > hgtRetryTime_ms ||
(badIMUdata &&
(imuSampleTime_ms - goodIMUdata_ms > BAD_IMU_DATA_TIMEOUT_MS))) {
hgtTimeout = true;
} else {
hgtTimeout = false;
}
}
#if EK3_FEATURE_BODY_ODOM
/*
* Fuse body frame velocity measurements using explicit algebraic equations generated with Matlab symbolic toolbox.
* The script file used to generate these and other equations in this filter can be found here:
* https://github.com/PX4/ecl/blob/master/matlab/scripts/Inertial%20Nav%20EKF/GenerateNavFilterEquations.m
*/
void NavEKF3_core::FuseBodyVel()
{
Vector24 H_VEL;
Vector3F bodyVelPred;
// Copy required states to local variable names
ftype q0 = stateStruct.quat[0];
ftype q1 = stateStruct.quat[1];
ftype q2 = stateStruct.quat[2];
ftype q3 = stateStruct.quat[3];
ftype vn = stateStruct.velocity.x;
ftype ve = stateStruct.velocity.y;
ftype vd = stateStruct.velocity.z;
// Fuse X, Y and Z axis measurements sequentially assuming observation errors are uncorrelated
for (uint8_t obsIndex=0; obsIndex<=2; obsIndex++) {
// calculate relative velocity in sensor frame including the relative motion due to rotation
bodyVelPred = (prevTnb * stateStruct.velocity);
// correct sensor offset body frame position offset relative to IMU
Vector3F posOffsetBody = bodyOdmDataDelayed.body_offset - accelPosOffset;
// correct prediction for relative motion due to rotation
// note - % operator overloaded for cross product
if (imuDataDelayed.delAngDT > 0.001f) {
bodyVelPred += (imuDataDelayed.delAng * (1.0f / imuDataDelayed.delAngDT)) % posOffsetBody;
}
// calculate observation jacobians and Kalman gains
if (obsIndex == 0) {
// calculate X axis observation Jacobian
H_VEL[0] = q2*vd*-2.0f+q3*ve*2.0f+q0*vn*2.0f;
H_VEL[1] = q3*vd*2.0f+q2*ve*2.0f+q1*vn*2.0f;
H_VEL[2] = q0*vd*-2.0f+q1*ve*2.0f-q2*vn*2.0f;
H_VEL[3] = q1*vd*2.0f+q0*ve*2.0f-q3*vn*2.0f;
H_VEL[4] = q0*q0+q1*q1-q2*q2-q3*q3;
H_VEL[5] = q0*q3*2.0f+q1*q2*2.0f;
H_VEL[6] = q0*q2*-2.0f+q1*q3*2.0f;
for (uint8_t index = 7; index < 24; index++) {
H_VEL[index] = 0.0f;
}
// calculate intermediate expressions for X axis Kalman gains
ftype R_VEL = sq(bodyOdmDataDelayed.velErr);
ftype t2 = q0*q3*2.0f;
ftype t3 = q1*q2*2.0f;
ftype t4 = t2+t3;
ftype t5 = q0*q0;
ftype t6 = q1*q1;
ftype t7 = q2*q2;
ftype t8 = q3*q3;
ftype t9 = t5+t6-t7-t8;
ftype t10 = q0*q2*2.0f;
ftype t25 = q1*q3*2.0f;
ftype t11 = t10-t25;
ftype t12 = q3*ve*2.0f;
ftype t13 = q0*vn*2.0f;
ftype t26 = q2*vd*2.0f;
ftype t14 = t12+t13-t26;
ftype t15 = q3*vd*2.0f;
ftype t16 = q2*ve*2.0f;
ftype t17 = q1*vn*2.0f;
ftype t18 = t15+t16+t17;
ftype t19 = q0*vd*2.0f;
ftype t20 = q2*vn*2.0f;
ftype t27 = q1*ve*2.0f;
ftype t21 = t19+t20-t27;
ftype t22 = q1*vd*2.0f;
ftype t23 = q0*ve*2.0f;
ftype t28 = q3*vn*2.0f;
ftype t24 = t22+t23-t28;
ftype t29 = P[0][0]*t14;
ftype t30 = P[1][1]*t18;
ftype t31 = P[4][5]*t9;
ftype t32 = P[5][5]*t4;
ftype t33 = P[0][5]*t14;
ftype t34 = P[1][5]*t18;
ftype t35 = P[3][5]*t24;
ftype t79 = P[6][5]*t11;
ftype t80 = P[2][5]*t21;
ftype t36 = t31+t32+t33+t34+t35-t79-t80;
ftype t37 = t4*t36;
ftype t38 = P[4][6]*t9;
ftype t39 = P[5][6]*t4;
ftype t40 = P[0][6]*t14;
ftype t41 = P[1][6]*t18;
ftype t42 = P[3][6]*t24;
ftype t81 = P[6][6]*t11;
ftype t82 = P[2][6]*t21;
ftype t43 = t38+t39+t40+t41+t42-t81-t82;
ftype t44 = P[4][0]*t9;
ftype t45 = P[5][0]*t4;
ftype t46 = P[1][0]*t18;
ftype t47 = P[3][0]*t24;
ftype t84 = P[6][0]*t11;
ftype t85 = P[2][0]*t21;
ftype t48 = t29+t44+t45+t46+t47-t84-t85;
ftype t49 = t14*t48;
ftype t50 = P[4][1]*t9;
ftype t51 = P[5][1]*t4;
ftype t52 = P[0][1]*t14;
ftype t53 = P[3][1]*t24;
ftype t86 = P[6][1]*t11;
ftype t87 = P[2][1]*t21;
ftype t54 = t30+t50+t51+t52+t53-t86-t87;
ftype t55 = t18*t54;
ftype t56 = P[4][2]*t9;
ftype t57 = P[5][2]*t4;
ftype t58 = P[0][2]*t14;
ftype t59 = P[1][2]*t18;
ftype t60 = P[3][2]*t24;
ftype t78 = P[2][2]*t21;
ftype t88 = P[6][2]*t11;
ftype t61 = t56+t57+t58+t59+t60-t78-t88;
ftype t62 = P[4][3]*t9;
ftype t63 = P[5][3]*t4;
ftype t64 = P[0][3]*t14;
ftype t65 = P[1][3]*t18;
ftype t66 = P[3][3]*t24;
ftype t90 = P[6][3]*t11;
ftype t91 = P[2][3]*t21;
ftype t67 = t62+t63+t64+t65+t66-t90-t91;
ftype t68 = t24*t67;
ftype t69 = P[4][4]*t9;
ftype t70 = P[5][4]*t4;
ftype t71 = P[0][4]*t14;
ftype t72 = P[1][4]*t18;
ftype t73 = P[3][4]*t24;
ftype t92 = P[6][4]*t11;
ftype t93 = P[2][4]*t21;
ftype t74 = t69+t70+t71+t72+t73-t92-t93;
ftype t75 = t9*t74;
ftype t83 = t11*t43;
ftype t89 = t21*t61;
ftype t76 = R_VEL+t37+t49+t55+t68+t75-t83-t89;
ftype t77;
// calculate innovation variance for X axis observation and protect against a badly conditioned calculation
if (t76 > R_VEL) {
t77 = 1.0f/t76;
faultStatus.bad_xvel = false;
} else {
t76 = R_VEL;
t77 = 1.0f/R_VEL;
faultStatus.bad_xvel = true;
return;
}
varInnovBodyVel[0] = t76;
// calculate innovation for X axis observation
innovBodyVel[0] = bodyVelPred.x - bodyOdmDataDelayed.vel.x;
// calculate Kalman gains for X-axis observation
Kfusion[0] = t77*(t29+P[0][5]*t4+P[0][4]*t9-P[0][6]*t11+P[0][1]*t18-P[0][2]*t21+P[0][3]*t24);
Kfusion[1] = t77*(t30+P[1][5]*t4+P[1][4]*t9+P[1][0]*t14-P[1][6]*t11-P[1][2]*t21+P[1][3]*t24);
Kfusion[2] = t77*(-t78+P[2][5]*t4+P[2][4]*t9+P[2][0]*t14-P[2][6]*t11+P[2][1]*t18+P[2][3]*t24);
Kfusion[3] = t77*(t66+P[3][5]*t4+P[3][4]*t9+P[3][0]*t14-P[3][6]*t11+P[3][1]*t18-P[3][2]*t21);
Kfusion[4] = t77*(t69+P[4][5]*t4+P[4][0]*t14-P[4][6]*t11+P[4][1]*t18-P[4][2]*t21+P[4][3]*t24);
Kfusion[5] = t77*(t32+P[5][4]*t9+P[5][0]*t14-P[5][6]*t11+P[5][1]*t18-P[5][2]*t21+P[5][3]*t24);
Kfusion[6] = t77*(-t81+P[6][5]*t4+P[6][4]*t9+P[6][0]*t14+P[6][1]*t18-P[6][2]*t21+P[6][3]*t24);
Kfusion[7] = t77*(P[7][5]*t4+P[7][4]*t9+P[7][0]*t14-P[7][6]*t11+P[7][1]*t18-P[7][2]*t21+P[7][3]*t24);
Kfusion[8] = t77*(P[8][5]*t4+P[8][4]*t9+P[8][0]*t14-P[8][6]*t11+P[8][1]*t18-P[8][2]*t21+P[8][3]*t24);
Kfusion[9] = t77*(P[9][5]*t4+P[9][4]*t9+P[9][0]*t14-P[9][6]*t11+P[9][1]*t18-P[9][2]*t21+P[9][3]*t24);
if (!inhibitDelAngBiasStates) {
Kfusion[10] = t77*(P[10][5]*t4+P[10][4]*t9+P[10][0]*t14-P[10][6]*t11+P[10][1]*t18-P[10][2]*t21+P[10][3]*t24);
Kfusion[11] = t77*(P[11][5]*t4+P[11][4]*t9+P[11][0]*t14-P[11][6]*t11+P[11][1]*t18-P[11][2]*t21+P[11][3]*t24);
Kfusion[12] = t77*(P[12][5]*t4+P[12][4]*t9+P[12][0]*t14-P[12][6]*t11+P[12][1]*t18-P[12][2]*t21+P[12][3]*t24);
} else {
// zero indexes 10 to 12
zero_range(&Kfusion[0], 10, 12);
}
if (!inhibitDelVelBiasStates && !badIMUdata) {
for (uint8_t index = 0; index < 3; index++) {
const uint8_t stateIndex = index + 13;
if (!dvelBiasAxisInhibit[index]) {
Kfusion[stateIndex] = t77*(P[stateIndex][5]*t4+P[stateIndex][4]*t9+P[stateIndex][0]*t14-P[stateIndex][6]*t11+P[stateIndex][1]*t18-P[stateIndex][2]*t21+P[stateIndex][3]*t24);
} else {
Kfusion[stateIndex] = 0.0f;
}
}
} else {
// zero indexes 13 to 15 = 3
zero_range(&Kfusion[0], 13, 15);
}
if (!inhibitMagStates) {
Kfusion[16] = t77*(P[16][5]*t4+P[16][4]*t9+P[16][0]*t14-P[16][6]*t11+P[16][1]*t18-P[16][2]*t21+P[16][3]*t24);
Kfusion[17] = t77*(P[17][5]*t4+P[17][4]*t9+P[17][0]*t14-P[17][6]*t11+P[17][1]*t18-P[17][2]*t21+P[17][3]*t24);
Kfusion[18] = t77*(P[18][5]*t4+P[18][4]*t9+P[18][0]*t14-P[18][6]*t11+P[18][1]*t18-P[18][2]*t21+P[18][3]*t24);
Kfusion[19] = t77*(P[19][5]*t4+P[19][4]*t9+P[19][0]*t14-P[19][6]*t11+P[19][1]*t18-P[19][2]*t21+P[19][3]*t24);
Kfusion[20] = t77*(P[20][5]*t4+P[20][4]*t9+P[20][0]*t14-P[20][6]*t11+P[20][1]*t18-P[20][2]*t21+P[20][3]*t24);
Kfusion[21] = t77*(P[21][5]*t4+P[21][4]*t9+P[21][0]*t14-P[21][6]*t11+P[21][1]*t18-P[21][2]*t21+P[21][3]*t24);
} else {
// zero indexes 16 to 21
zero_range(&Kfusion[0], 16, 21);
}
if (!inhibitWindStates && !treatWindStatesAsTruth) {
Kfusion[22] = t77*(P[22][5]*t4+P[22][4]*t9+P[22][0]*t14-P[22][6]*t11+P[22][1]*t18-P[22][2]*t21+P[22][3]*t24);
Kfusion[23] = t77*(P[23][5]*t4+P[23][4]*t9+P[23][0]*t14-P[23][6]*t11+P[23][1]*t18-P[23][2]*t21+P[23][3]*t24);
} else {
// zero indexes 22 to 23
zero_range(&Kfusion[0], 22, 23);
}
} else if (obsIndex == 1) {
// calculate Y axis observation Jacobian
H_VEL[0] = q1*vd*2.0f+q0*ve*2.0f-q3*vn*2.0f;
H_VEL[1] = q0*vd*2.0f-q1*ve*2.0f+q2*vn*2.0f;
H_VEL[2] = q3*vd*2.0f+q2*ve*2.0f+q1*vn*2.0f;
H_VEL[3] = q2*vd*2.0f-q3*ve*2.0f-q0*vn*2.0f;
H_VEL[4] = q0*q3*-2.0f+q1*q2*2.0f;
H_VEL[5] = q0*q0-q1*q1+q2*q2-q3*q3;
H_VEL[6] = q0*q1*2.0f+q2*q3*2.0f;
for (uint8_t index = 7; index < 24; index++) {
H_VEL[index] = 0.0f;
}
// calculate intermediate expressions for Y axis Kalman gains
ftype R_VEL = sq(bodyOdmDataDelayed.velErr);
ftype t2 = q0*q3*2.0f;
ftype t9 = q1*q2*2.0f;
ftype t3 = t2-t9;
ftype t4 = q0*q0;
ftype t5 = q1*q1;
ftype t6 = q2*q2;
ftype t7 = q3*q3;
ftype t8 = t4-t5+t6-t7;
ftype t10 = q0*q1*2.0f;
ftype t11 = q2*q3*2.0f;
ftype t12 = t10+t11;
ftype t13 = q1*vd*2.0f;
ftype t14 = q0*ve*2.0f;
ftype t26 = q3*vn*2.0f;
ftype t15 = t13+t14-t26;
ftype t16 = q0*vd*2.0f;
ftype t17 = q2*vn*2.0f;
ftype t27 = q1*ve*2.0f;
ftype t18 = t16+t17-t27;
ftype t19 = q3*vd*2.0f;
ftype t20 = q2*ve*2.0f;
ftype t21 = q1*vn*2.0f;
ftype t22 = t19+t20+t21;
ftype t23 = q3*ve*2.0f;
ftype t24 = q0*vn*2.0f;
ftype t28 = q2*vd*2.0f;
ftype t25 = t23+t24-t28;
ftype t29 = P[0][0]*t15;
ftype t30 = P[1][1]*t18;
ftype t31 = P[5][4]*t8;
ftype t32 = P[6][4]*t12;
ftype t33 = P[0][4]*t15;
ftype t34 = P[1][4]*t18;
ftype t35 = P[2][4]*t22;
ftype t78 = P[4][4]*t3;
ftype t79 = P[3][4]*t25;
ftype t36 = t31+t32+t33+t34+t35-t78-t79;
ftype t37 = P[5][6]*t8;
ftype t38 = P[6][6]*t12;
ftype t39 = P[0][6]*t15;
ftype t40 = P[1][6]*t18;
ftype t41 = P[2][6]*t22;
ftype t81 = P[4][6]*t3;
ftype t82 = P[3][6]*t25;
ftype t42 = t37+t38+t39+t40+t41-t81-t82;
ftype t43 = t12*t42;
ftype t44 = P[5][0]*t8;
ftype t45 = P[6][0]*t12;
ftype t46 = P[1][0]*t18;
ftype t47 = P[2][0]*t22;
ftype t83 = P[4][0]*t3;
ftype t84 = P[3][0]*t25;
ftype t48 = t29+t44+t45+t46+t47-t83-t84;
ftype t49 = t15*t48;
ftype t50 = P[5][1]*t8;
ftype t51 = P[6][1]*t12;
ftype t52 = P[0][1]*t15;
ftype t53 = P[2][1]*t22;
ftype t85 = P[4][1]*t3;
ftype t86 = P[3][1]*t25;
ftype t54 = t30+t50+t51+t52+t53-t85-t86;
ftype t55 = t18*t54;
ftype t56 = P[5][2]*t8;
ftype t57 = P[6][2]*t12;
ftype t58 = P[0][2]*t15;
ftype t59 = P[1][2]*t18;
ftype t60 = P[2][2]*t22;
ftype t87 = P[4][2]*t3;
ftype t88 = P[3][2]*t25;
ftype t61 = t56+t57+t58+t59+t60-t87-t88;
ftype t62 = t22*t61;
ftype t63 = P[5][3]*t8;
ftype t64 = P[6][3]*t12;
ftype t65 = P[0][3]*t15;
ftype t66 = P[1][3]*t18;
ftype t67 = P[2][3]*t22;
ftype t89 = P[4][3]*t3;
ftype t90 = P[3][3]*t25;
ftype t68 = t63+t64+t65+t66+t67-t89-t90;
ftype t69 = P[5][5]*t8;
ftype t70 = P[6][5]*t12;
ftype t71 = P[0][5]*t15;
ftype t72 = P[1][5]*t18;
ftype t73 = P[2][5]*t22;
ftype t92 = P[4][5]*t3;
ftype t93 = P[3][5]*t25;
ftype t74 = t69+t70+t71+t72+t73-t92-t93;
ftype t75 = t8*t74;
ftype t80 = t3*t36;
ftype t91 = t25*t68;
ftype t76 = R_VEL+t43+t49+t55+t62+t75-t80-t91;
ftype t77;
// calculate innovation variance for Y axis observation and protect against a badly conditioned calculation
if (t76 > R_VEL) {
t77 = 1.0f/t76;
faultStatus.bad_yvel = false;
} else {
t76 = R_VEL;
t77 = 1.0f/R_VEL;
faultStatus.bad_yvel = true;
return;
}
varInnovBodyVel[1] = t76;
// calculate innovation for Y axis observation
innovBodyVel[1] = bodyVelPred.y - bodyOdmDataDelayed.vel.y;
// calculate Kalman gains for Y-axis observation
Kfusion[0] = t77*(t29-P[0][4]*t3+P[0][5]*t8+P[0][6]*t12+P[0][1]*t18+P[0][2]*t22-P[0][3]*t25);
Kfusion[1] = t77*(t30-P[1][4]*t3+P[1][5]*t8+P[1][0]*t15+P[1][6]*t12+P[1][2]*t22-P[1][3]*t25);
Kfusion[2] = t77*(t60-P[2][4]*t3+P[2][5]*t8+P[2][0]*t15+P[2][6]*t12+P[2][1]*t18-P[2][3]*t25);
Kfusion[3] = t77*(-t90-P[3][4]*t3+P[3][5]*t8+P[3][0]*t15+P[3][6]*t12+P[3][1]*t18+P[3][2]*t22);
Kfusion[4] = t77*(-t78+P[4][5]*t8+P[4][0]*t15+P[4][6]*t12+P[4][1]*t18+P[4][2]*t22-P[4][3]*t25);
Kfusion[5] = t77*(t69-P[5][4]*t3+P[5][0]*t15+P[5][6]*t12+P[5][1]*t18+P[5][2]*t22-P[5][3]*t25);
Kfusion[6] = t77*(t38-P[6][4]*t3+P[6][5]*t8+P[6][0]*t15+P[6][1]*t18+P[6][2]*t22-P[6][3]*t25);
Kfusion[7] = t77*(-P[7][4]*t3+P[7][5]*t8+P[7][0]*t15+P[7][6]*t12+P[7][1]*t18+P[7][2]*t22-P[7][3]*t25);
Kfusion[8] = t77*(-P[8][4]*t3+P[8][5]*t8+P[8][0]*t15+P[8][6]*t12+P[8][1]*t18+P[8][2]*t22-P[8][3]*t25);
Kfusion[9] = t77*(-P[9][4]*t3+P[9][5]*t8+P[9][0]*t15+P[9][6]*t12+P[9][1]*t18+P[9][2]*t22-P[9][3]*t25);
if (!inhibitDelAngBiasStates) {
Kfusion[10] = t77*(-P[10][4]*t3+P[10][5]*t8+P[10][0]*t15+P[10][6]*t12+P[10][1]*t18+P[10][2]*t22-P[10][3]*t25);
Kfusion[11] = t77*(-P[11][4]*t3+P[11][5]*t8+P[11][0]*t15+P[11][6]*t12+P[11][1]*t18+P[11][2]*t22-P[11][3]*t25);
Kfusion[12] = t77*(-P[12][4]*t3+P[12][5]*t8+P[12][0]*t15+P[12][6]*t12+P[12][1]*t18+P[12][2]*t22-P[12][3]*t25);
} else {
// zero indexes 10 to 12 = 3
zero_range(&Kfusion[0], 10, 12);
}
if (!inhibitDelVelBiasStates && !badIMUdata) {
for (uint8_t index = 0; index < 3; index++) {
const uint8_t stateIndex = index + 13;
if (!dvelBiasAxisInhibit[index]) {
Kfusion[stateIndex] = t77*(-P[stateIndex][4]*t3+P[stateIndex][5]*t8+P[stateIndex][0]*t15+P[stateIndex][6]*t12+P[stateIndex][1]*t18+P[stateIndex][2]*t22-P[stateIndex][3]*t25);
} else {
Kfusion[stateIndex] = 0.0f;
}
}
} else {
// zero indexes 13 to 15
zero_range(&Kfusion[0], 13, 15);
}
if (!inhibitMagStates) {
Kfusion[16] = t77*(-P[16][4]*t3+P[16][5]*t8+P[16][0]*t15+P[16][6]*t12+P[16][1]*t18+P[16][2]*t22-P[16][3]*t25);
Kfusion[17] = t77*(-P[17][4]*t3+P[17][5]*t8+P[17][0]*t15+P[17][6]*t12+P[17][1]*t18+P[17][2]*t22-P[17][3]*t25);
Kfusion[18] = t77*(-P[18][4]*t3+P[18][5]*t8+P[18][0]*t15+P[18][6]*t12+P[18][1]*t18+P[18][2]*t22-P[18][3]*t25);
Kfusion[19] = t77*(-P[19][4]*t3+P[19][5]*t8+P[19][0]*t15+P[19][6]*t12+P[19][1]*t18+P[19][2]*t22-P[19][3]*t25);
Kfusion[20] = t77*(-P[20][4]*t3+P[20][5]*t8+P[20][0]*t15+P[20][6]*t12+P[20][1]*t18+P[20][2]*t22-P[20][3]*t25);
Kfusion[21] = t77*(-P[21][4]*t3+P[21][5]*t8+P[21][0]*t15+P[21][6]*t12+P[21][1]*t18+P[21][2]*t22-P[21][3]*t25);
} else {
// zero indexes 16 to 21
zero_range(&Kfusion[0], 16, 21);
}
if (!inhibitWindStates && !treatWindStatesAsTruth) {
Kfusion[22] = t77*(-P[22][4]*t3+P[22][5]*t8+P[22][0]*t15+P[22][6]*t12+P[22][1]*t18+P[22][2]*t22-P[22][3]*t25);
Kfusion[23] = t77*(-P[23][4]*t3+P[23][5]*t8+P[23][0]*t15+P[23][6]*t12+P[23][1]*t18+P[23][2]*t22-P[23][3]*t25);
} else {
// zero indexes 22 to 23
zero_range(&Kfusion[0], 22, 23);
}
} else if (obsIndex == 2) {
// calculate Z axis observation Jacobian
H_VEL[0] = q0*vd*2.0f-q1*ve*2.0f+q2*vn*2.0f;
H_VEL[1] = q1*vd*-2.0f-q0*ve*2.0f+q3*vn*2.0f;
H_VEL[2] = q2*vd*-2.0f+q3*ve*2.0f+q0*vn*2.0f;
H_VEL[3] = q3*vd*2.0f+q2*ve*2.0f+q1*vn*2.0f;
H_VEL[4] = q0*q2*2.0f+q1*q3*2.0f;
H_VEL[5] = q0*q1*-2.0f+q2*q3*2.0f;
H_VEL[6] = q0*q0-q1*q1-q2*q2+q3*q3;
for (uint8_t index = 7; index < 24; index++) {
H_VEL[index] = 0.0f;
}
// calculate intermediate expressions for Z axis Kalman gains
ftype R_VEL = sq(bodyOdmDataDelayed.velErr);
ftype t2 = q0*q2*2.0f;
ftype t3 = q1*q3*2.0f;
ftype t4 = t2+t3;
ftype t5 = q0*q0;
ftype t6 = q1*q1;
ftype t7 = q2*q2;
ftype t8 = q3*q3;
ftype t9 = t5-t6-t7+t8;
ftype t10 = q0*q1*2.0f;
ftype t25 = q2*q3*2.0f;
ftype t11 = t10-t25;
ftype t12 = q0*vd*2.0f;
ftype t13 = q2*vn*2.0f;
ftype t26 = q1*ve*2.0f;
ftype t14 = t12+t13-t26;
ftype t15 = q1*vd*2.0f;
ftype t16 = q0*ve*2.0f;
ftype t27 = q3*vn*2.0f;
ftype t17 = t15+t16-t27;
ftype t18 = q3*ve*2.0f;
ftype t19 = q0*vn*2.0f;
ftype t28 = q2*vd*2.0f;
ftype t20 = t18+t19-t28;
ftype t21 = q3*vd*2.0f;
ftype t22 = q2*ve*2.0f;
ftype t23 = q1*vn*2.0f;
ftype t24 = t21+t22+t23;
ftype t29 = P[0][0]*t14;
ftype t30 = P[6][4]*t9;
ftype t31 = P[4][4]*t4;
ftype t32 = P[0][4]*t14;
ftype t33 = P[2][4]*t20;
ftype t34 = P[3][4]*t24;
ftype t78 = P[5][4]*t11;
ftype t79 = P[1][4]*t17;
ftype t35 = t30+t31+t32+t33+t34-t78-t79;
ftype t36 = t4*t35;
ftype t37 = P[6][5]*t9;
ftype t38 = P[4][5]*t4;
ftype t39 = P[0][5]*t14;
ftype t40 = P[2][5]*t20;
ftype t41 = P[3][5]*t24;
ftype t80 = P[5][5]*t11;
ftype t81 = P[1][5]*t17;
ftype t42 = t37+t38+t39+t40+t41-t80-t81;
ftype t43 = P[6][0]*t9;
ftype t44 = P[4][0]*t4;
ftype t45 = P[2][0]*t20;
ftype t46 = P[3][0]*t24;
ftype t83 = P[5][0]*t11;
ftype t84 = P[1][0]*t17;
ftype t47 = t29+t43+t44+t45+t46-t83-t84;
ftype t48 = t14*t47;
ftype t49 = P[6][1]*t9;
ftype t50 = P[4][1]*t4;
ftype t51 = P[0][1]*t14;
ftype t52 = P[2][1]*t20;
ftype t53 = P[3][1]*t24;
ftype t85 = P[5][1]*t11;
ftype t86 = P[1][1]*t17;
ftype t54 = t49+t50+t51+t52+t53-t85-t86;
ftype t55 = P[6][2]*t9;
ftype t56 = P[4][2]*t4;
ftype t57 = P[0][2]*t14;
ftype t58 = P[2][2]*t20;
ftype t59 = P[3][2]*t24;
ftype t88 = P[5][2]*t11;
ftype t89 = P[1][2]*t17;
ftype t60 = t55+t56+t57+t58+t59-t88-t89;
ftype t61 = t20*t60;
ftype t62 = P[6][3]*t9;
ftype t63 = P[4][3]*t4;
ftype t64 = P[0][3]*t14;
ftype t65 = P[2][3]*t20;
ftype t66 = P[3][3]*t24;
ftype t90 = P[5][3]*t11;
ftype t91 = P[1][3]*t17;
ftype t67 = t62+t63+t64+t65+t66-t90-t91;
ftype t68 = t24*t67;
ftype t69 = P[6][6]*t9;
ftype t70 = P[4][6]*t4;
ftype t71 = P[0][6]*t14;
ftype t72 = P[2][6]*t20;
ftype t73 = P[3][6]*t24;
ftype t92 = P[5][6]*t11;
ftype t93 = P[1][6]*t17;
ftype t74 = t69+t70+t71+t72+t73-t92-t93;
ftype t75 = t9*t74;
ftype t82 = t11*t42;
ftype t87 = t17*t54;
ftype t76 = R_VEL+t36+t48+t61+t68+t75-t82-t87;
ftype t77;
// calculate innovation variance for Z axis observation and protect against a badly conditioned calculation
if (t76 > R_VEL) {
t77 = 1.0f/t76;
faultStatus.bad_zvel = false;
} else {
t76 = R_VEL;
t77 = 1.0f/R_VEL;
faultStatus.bad_zvel = true;
return;
}
varInnovBodyVel[2] = t76;
// calculate innovation for Z axis observation
innovBodyVel[2] = bodyVelPred.z - bodyOdmDataDelayed.vel.z;
// calculate Kalman gains for X-axis observation
Kfusion[0] = t77*(t29+P[0][4]*t4+P[0][6]*t9-P[0][5]*t11-P[0][1]*t17+P[0][2]*t20+P[0][3]*t24);
Kfusion[1] = t77*(P[1][4]*t4+P[1][0]*t14+P[1][6]*t9-P[1][5]*t11-P[1][1]*t17+P[1][2]*t20+P[1][3]*t24);
Kfusion[2] = t77*(t58+P[2][4]*t4+P[2][0]*t14+P[2][6]*t9-P[2][5]*t11-P[2][1]*t17+P[2][3]*t24);
Kfusion[3] = t77*(t66+P[3][4]*t4+P[3][0]*t14+P[3][6]*t9-P[3][5]*t11-P[3][1]*t17+P[3][2]*t20);
Kfusion[4] = t77*(t31+P[4][0]*t14+P[4][6]*t9-P[4][5]*t11-P[4][1]*t17+P[4][2]*t20+P[4][3]*t24);
Kfusion[5] = t77*(-t80+P[5][4]*t4+P[5][0]*t14+P[5][6]*t9-P[5][1]*t17+P[5][2]*t20+P[5][3]*t24);
Kfusion[6] = t77*(t69+P[6][4]*t4+P[6][0]*t14-P[6][5]*t11-P[6][1]*t17+P[6][2]*t20+P[6][3]*t24);
Kfusion[7] = t77*(P[7][4]*t4+P[7][0]*t14+P[7][6]*t9-P[7][5]*t11-P[7][1]*t17+P[7][2]*t20+P[7][3]*t24);
Kfusion[8] = t77*(P[8][4]*t4+P[8][0]*t14+P[8][6]*t9-P[8][5]*t11-P[8][1]*t17+P[8][2]*t20+P[8][3]*t24);
Kfusion[9] = t77*(P[9][4]*t4+P[9][0]*t14+P[9][6]*t9-P[9][5]*t11-P[9][1]*t17+P[9][2]*t20+P[9][3]*t24);
if (!inhibitDelAngBiasStates) {
Kfusion[10] = t77*(P[10][4]*t4+P[10][0]*t14+P[10][6]*t9-P[10][5]*t11-P[10][1]*t17+P[10][2]*t20+P[10][3]*t24);
Kfusion[11] = t77*(P[11][4]*t4+P[11][0]*t14+P[11][6]*t9-P[11][5]*t11-P[11][1]*t17+P[11][2]*t20+P[11][3]*t24);
Kfusion[12] = t77*(P[12][4]*t4+P[12][0]*t14+P[12][6]*t9-P[12][5]*t11-P[12][1]*t17+P[12][2]*t20+P[12][3]*t24);
} else {
// zero indexes 10 to 12
zero_range(&Kfusion[0], 10, 12);
}
if (!inhibitDelVelBiasStates && !badIMUdata) {
for (uint8_t index = 0; index < 3; index++) {
const uint8_t stateIndex = index + 13;
if (!dvelBiasAxisInhibit[index]) {
Kfusion[stateIndex] = t77*(P[stateIndex][4]*t4+P[stateIndex][0]*t14+P[stateIndex][6]*t9-P[stateIndex][5]*t11-P[stateIndex][1]*t17+P[stateIndex][2]*t20+P[stateIndex][3]*t24);
} else {
Kfusion[stateIndex] = 0.0f;
}
}
} else {
// zero indexes 13 to 15
zero_range(&Kfusion[0], 13, 15);
}
if (!inhibitMagStates) {
Kfusion[16] = t77*(P[16][4]*t4+P[16][0]*t14+P[16][6]*t9-P[16][5]*t11-P[16][1]*t17+P[16][2]*t20+P[16][3]*t24);
Kfusion[17] = t77*(P[17][4]*t4+P[17][0]*t14+P[17][6]*t9-P[17][5]*t11-P[17][1]*t17+P[17][2]*t20+P[17][3]*t24);
Kfusion[18] = t77*(P[18][4]*t4+P[18][0]*t14+P[18][6]*t9-P[18][5]*t11-P[18][1]*t17+P[18][2]*t20+P[18][3]*t24);
Kfusion[19] = t77*(P[19][4]*t4+P[19][0]*t14+P[19][6]*t9-P[19][5]*t11-P[19][1]*t17+P[19][2]*t20+P[19][3]*t24);
Kfusion[20] = t77*(P[20][4]*t4+P[20][0]*t14+P[20][6]*t9-P[20][5]*t11-P[20][1]*t17+P[20][2]*t20+P[20][3]*t24);
Kfusion[21] = t77*(P[21][4]*t4+P[21][0]*t14+P[21][6]*t9-P[21][5]*t11-P[21][1]*t17+P[21][2]*t20+P[21][3]*t24);
} else {
// zero indexes 16 to 21
zero_range(&Kfusion[0], 16, 21);
}
if (!inhibitWindStates && !treatWindStatesAsTruth) {
Kfusion[22] = t77*(P[22][4]*t4+P[22][0]*t14+P[22][6]*t9-P[22][5]*t11-P[22][1]*t17+P[22][2]*t20+P[22][3]*t24);
Kfusion[23] = t77*(P[23][4]*t4+P[23][0]*t14+P[23][6]*t9-P[23][5]*t11-P[23][1]*t17+P[23][2]*t20+P[23][3]*t24);
} else {
// zero indexes 22 to 23
zero_range(&Kfusion[0], 22, 23);
}
} else {
return;
}
// calculate the innovation consistency test ratio
// TODO add tuning parameter for gate
bodyVelTestRatio[obsIndex] = sq(innovBodyVel[obsIndex]) / (sq(5.0f) * varInnovBodyVel[obsIndex]);
// Check the innovation for consistency and don't fuse if out of bounds
// TODO also apply angular velocity magnitude check
if ((bodyVelTestRatio[obsIndex]) < 1.0f) {
// record the last time observations were accepted for fusion
prevBodyVelFuseTime_ms = imuSampleTime_ms;
// notify first time only
if (!bodyVelFusionActive) {
bodyVelFusionActive = true;
GCS_SEND_TEXT(MAV_SEVERITY_INFO, "EKF3 IMU%u fusing odometry",(unsigned)imu_index);
}
// correct the covariance P = (I - K*H)*P
// take advantage of the empty columns in KH to reduce the
// number of operations
for (unsigned i = 0; i<=stateIndexLim; i++) {
for (unsigned j = 0; j<=6; j++) {
KH[i][j] = Kfusion[i] * H_VEL[j];
}
for (unsigned j = 7; j<=stateIndexLim; j++) {
KH[i][j] = 0.0f;
}
}
for (unsigned j = 0; j<=stateIndexLim; j++) {
for (unsigned i = 0; i<=stateIndexLim; i++) {
ftype res = 0;
res += KH[i][0] * P[0][j];
res += KH[i][1] * P[1][j];
res += KH[i][2] * P[2][j];
res += KH[i][3] * P[3][j];
res += KH[i][4] * P[4][j];
res += KH[i][5] * P[5][j];
res += KH[i][6] * P[6][j];
KHP[i][j] = res;
}
}
// Check that we are not going to drive any variances negative and skip the update if so
bool healthyFusion = true;
for (uint8_t i= 0; i<=stateIndexLim; i++) {
if (KHP[i][i] > P[i][i]) {
healthyFusion = false;
}
}
if (healthyFusion) {
// update the covariance matrix
for (uint8_t i= 0; i<=stateIndexLim; i++) {
for (uint8_t j= 0; j<=stateIndexLim; j++) {
P[i][j] = P[i][j] - KHP[i][j];
}
}
// force the covariance matrix to be symmetrical and limit the variances to prevent ill-conditioning.
ForceSymmetry();
ConstrainVariances();
// correct the state vector
for (uint8_t j= 0; j<=stateIndexLim; j++) {
statesArray[j] = statesArray[j] - Kfusion[j] * innovBodyVel[obsIndex];
}
stateStruct.quat.normalize();
} else {
// record bad axis
if (obsIndex == 0) {
faultStatus.bad_xvel = true;
} else if (obsIndex == 1) {
faultStatus.bad_yvel = true;
} else if (obsIndex == 2) {
faultStatus.bad_zvel = true;
}
}
}
}
}
#endif // EK3_FEATURE_BODY_ODOM
#if EK3_FEATURE_BODY_ODOM
// select fusion of body odometry measurements
void NavEKF3_core::SelectBodyOdomFusion()
{
// Check if the magnetometer has been fused on that time step and the filter is running at faster than 200 Hz
// If so, don't fuse measurements on this time step to reduce frame over-runs
// Only allow one time slip to prevent high rate magnetometer data preventing fusion of other measurements
if (magFusePerformed && (dtIMUavg < 0.005f) && !bodyVelFusionDelayed) {
bodyVelFusionDelayed = true;
return;
} else {
bodyVelFusionDelayed = false;
}
// Check for body odometry data (aka visual position delta) at the fusion time horizon
const bool bodyOdomDataToFuse = storedBodyOdm.recall(bodyOdmDataDelayed, imuDataDelayed.time_ms);
if (bodyOdomDataToFuse && frontend->sources.useVelXYSource(AP_NavEKF_Source::SourceXY::EXTNAV, core_index)) {
// Fuse data into the main filter
FuseBodyVel();
}
// Check for wheel encoder data at the fusion time horizon
const bool wheelOdomDataToFuse = storedWheelOdm.recall(wheelOdmDataDelayed, imuDataDelayed.time_ms);
if (wheelOdomDataToFuse && frontend->sources.useVelXYSource(AP_NavEKF_Source::SourceXY::WHEEL_ENCODER, core_index)) {
// check if the delta time is too small to calculate a velocity
if (wheelOdmDataDelayed.delTime > EKF_TARGET_DT) {
// get the forward velocity
ftype fwdSpd = wheelOdmDataDelayed.delAng * wheelOdmDataDelayed.radius * (1.0f / wheelOdmDataDelayed.delTime);
// get the unit vector from the projection of the X axis onto the horizontal
Vector3F unitVec;
unitVec.x = prevTnb.a.x;
unitVec.y = prevTnb.a.y;
unitVec.z = 0.0f;
unitVec.normalize();
// multiply by forward speed to get velocity vector measured by wheel encoders
Vector3F velNED = unitVec * fwdSpd;
// This is a hack to enable use of the existing body frame velocity fusion method
// TODO write a dedicated observation model for wheel encoders
bodyOdmDataDelayed.vel = prevTnb * velNED;
bodyOdmDataDelayed.body_offset = wheelOdmDataDelayed.hub_offset;
bodyOdmDataDelayed.velErr = frontend->_wencOdmVelErr.get();
// Fuse data into the main filter
FuseBodyVel();
}
}
}
#endif // EK3_FEATURE_BODY_ODOM