diff --git a/sw/simulator/scilab/q6d/q6d_sbb.sci b/sw/simulator/scilab/q6d/q6d_sbb.sci new file mode 100644 index 0000000000..7d752ca0a1 --- /dev/null +++ b/sw/simulator/scilab/q6d/q6d_sbb.sci @@ -0,0 +1,79 @@ +// +// +// Smoothed bang bang trajectory +// +// + +SBB_TOLERANCE = 0.025; + +function [step_dt, step_ampl, traj_dt] = compute_step(dist, dyn, max_accel, max_speed) + if (dist < 0.01) + step_dt = 0; + step_ampl = 0; + else + omega = dyn(1); + xsi = dyn(2); + step_dt = -log(SBB_TOLERANCE)/(omega*xsi*sqrt(1-xsi^2)); + step_ampl = dist / (2*step_dt^2); + if step_ampl < max_accel + if step_ampl > max_speed/step_dt + step_ampl = max_speed/step_dt; + end + else + step_ampl = max_accel; + if step_ampl <= max_speed/step_dt + step_dt = max_speed/step_ampl; + else + step_ampl = max_speed/step_dt; + end + end + traj_dt = (dist - 2*step_dt*(step_ampl*step_dt))/step_ampl*step_dt + 4*step_dt; + end +endfunction + + + +function [fo_traj] = sbb_gen_traj(time, dyn, max_speed, max_accel, b0, b1) + + n_comp = 4; // x, y, z, psi + order = 5; + fo_traj = zeros(n_comp, order, length(time)); + + disp_xy = b1(1:2) - b0(1:2); + [pulse_dt, pulse_ampl, traj_dt] = compute_step(norm(disp_xy), dyn(1,:), max_accel(1), max_speed(1)); + fo_traj(1:2,1,1) = b0(1:2); + u = disp_xy' / norm(disp_xy); + for i=2:length(time) + delta_t = time(i)-time(1); + if delta_t < pulse_dt + sp = pulse_ampl; + elseif delta_t >= traj_dt - 2 * pulse_dt & delta_t < traj_dt - pulse_dt + sp = -pulse_ampl; + else + sp = 0; + end + fo_traj(1:2,1:4,i) = fo_traj(1:2,1:4,i-1) + fo_traj(1:2,2:5,i-1)* (time(i)-time(i-1)); + fo_traj(1:2,5,i) = -2*dyn(1,2)*dyn(1,1)*fo_traj(1:2,4,i)-dyn(1,1)^2*(fo_traj(1:2,3,i)-sp*u); + end + + disp_z = b1(3) - b0(3); + [pulse_dt, pulse_ampl, traj_dt] = compute_step(norm(disp_z), dyn(2,:), max_accel(2), max_speed(2)); + fo_traj(3,1,1) = b0(3); + for i=2:length(time) + delta_t = time(i)-time(1); + if delta_t < pulse_dt + sp = pulse_ampl; + elseif delta_t >= traj_dt - 2 * pulse_dt & delta_t < traj_dt - pulse_dt + sp = -pulse_ampl; + else + sp = 0; + end + fo_traj(3,1:4,i) = fo_traj(3,1:4,i-1) + fo_traj(3,2:5,i-1)*(time(i)-time(i-1)); + fo_traj(3,5,i) = -2*dyn(2,2)*dyn(2,1)*fo_traj(3,4,i)-dyn(2,1)^2*(fo_traj(3,3,i)-sp*sign(disp_z)); + end + +endfunction + + + +