function [sys,x0,str,ts] = Book7241_Controller(t,x,u,flag) switch flag case 0 %初始化 [sys,x0,str,ts]=mdlInitializeSizes; case 1 %连续状态计算 sys=mdlDerivatives(t,x,u); case {2,4,9} %离散状态计算,下一步仿真时刻,终止仿真设定 sys=[]; case 3 %输出信号计算 sys=mdlOutputs(t,x,u); otherwise DAStudio.error('Simulink:blocks:unhandledFlag', num2str(flag)); end function [sys,x0,str,ts]=mdlInitializeSizes %系统的初始化 global c1 b1 node c2 b2 c3 b3 s_new s_past inte_s % 神经网络采用2 - 7 - 1结构 采用3个2*7*1 神经网络 node = 7; c1 = 1 * [-1.5 -1.0 -0.5 0 0.5 1 1.5; -1.5 -1.0 -0.5 0 0.5 1 1.5]; % 高斯函数的中心点矢量 维度 IN * MID 2*7 b1 = 20 * ones(node,1); % 高斯函数的基宽 维度node * 1 7*1 b的选择很重要 b越大 网路对输入的映射能力越大 c2 = 1 * [-1.5 -1.0 -0.5 0 0.5 1 1.5; -1.5 -1.0 -0.5 0 0.5 1 1.5]; b2 = 20 * ones(node,1); c3 = 1 * [-1.5 -1.0 -0.5 0 0.5 1 1.5; -1.5 -1.0 -0.5 0 0.5 1 1.5]; b3 = 20 * ones(node,1); s_new = 0; s_past = s_new; inte_s = 0; sizes = simsizes; sizes.NumContStates = node*3; %设置系统连续状态的变量 W V sizes.NumDiscStates = 0; %设置系统离散状态的变量 sizes.NumOutputs = 4; %设置系统输出的变量 sizes.NumInputs = 4; %设置系统输入的变量 sizes.DirFeedthrough = 1; %如果在输出方程中显含输入变量u,则应该将本参数设置为1 sizes.NumSampleTimes = 0; % 模块采样周期的个数 % 需要的样本时间,一般为1. % 猜测为如果为n,则下一时刻的状态需要知道前n个状态的系统状态 sys = simsizes(sizes); x0 = 0 * ones(node*3,1); % 系统初始状态变量 代表W和V向量 str = []; % 保留变量,保持为空 ts = []; % 采样时间[t1 t2] t1为采样周期,如果取t1=-1则将继承输入信号的采样周期;参数t2为偏移量,一般取为0 function sys = mdlDerivatives(t,x,u) %该函数仅在连续系统中被调用,用于产生控制系统状态的导数 global c1 b1 node c2 b2 c3 b3 s_new s_past inte_s % 仿真中应根据网络输入值的有效映射范围来设计 c和b 从而保证有效的高斯映射 不合适的b或c均会导致结果不正确 % 角度跟踪指令 % qd = sin(t); dqd = cos(t); ddqd = -sin(t); qd = u(1); q = u(2); dq = u(3); ddq = u(4); e = qd - q; % e = qd - q de = dqd - dq; dde = ddqd - ddq; % 参数的定义 kr = 0.1; kp = 15; kt = 15; xite = 5.0; gamam = 100; gamac = 100; gamag = 100; s_new = xite * e + de; dqr = xite * e + dqd; ddqr = xite * de + ddqd; % 神经网络的输入 input = [q; dq]; h1 = zeros(node , 1); %7*1矩阵 h2 = zeros(node , 1); %7*1矩阵 h3 = zeros(node , 1); %7*1矩阵 for i =1:node h1(i) = exp(-(norm(input - c1(:,i))^2) / (b1(i)^2)); % 7*1 end for i =1:node h2(i) = exp(-(norm(input - c2(:,i))^2) / (b2(i)^2)); % 7*1 end for i =1:node h3(i) = exp(-(norm(input - c3(:,i))^2) / (b3(i)^2)); % 7*1 end W1 = x(1:node); % 7*1 W2 = x(node+1: node*2); W3 = x(node*2+1: node*3); % 权值的自适应律 dw1 = gamam * h1 * ddqr * s_new; dw2 = gamac * h2 * dqr * s_new; dw3 = gamag * h3 * s_new; for i = 1:node sys(i) = dw1(i); sys(i+7) = dw2(i); sys(i+14) = dw3(i); end function sys = mdlOutputs(t,x,u) %产生(传递)系统输出 global c1 b1 node c2 b2 c3 b3 s_new s_past inte_s % 角度跟踪指令 % dqd1 = 0.1*cos(t); % dqd2 = 0.1*cos(t); % qd = sin(t); dqd = cos(t); ddqd = -sin(t); qd = u(1); q = u(2); dq = u(3); ddq = u(4); e = qd - q; % e = qd - q de = dqd - dq; dde = ddqd - ddq; % 参数的定义 kr = 0.1; kp = 15; ki = 15; xite = 5.0; gamam = 100; gamac = 100; gamag = 100; s_new = xite * e + de; dqr = xite * e + dqd; ddqr = xite * de + ddqd; % 神经网络的输入 input = [q; dq]; h1 = zeros(node , 1); %7*1矩阵 h2 = zeros(node , 1); %7*1矩阵 h3 = zeros(node , 1); %7*1矩阵 for i =1:node h1(i) = exp(-(norm(input - c1(:,i))^2) / (b1(i)^2)); % 7*1 end for i =1:node h2(i) = exp(-(norm(input - c2(:,i))^2) / (b2(i)^2)); % 7*1 end for i =1:node h3(i) = exp(-(norm(input - c3(:,i))^2) / (b3(i)^2)); % 7*1 end W1 = x(1:node); % 7*1 W2 = x(node+1: node*2); W3 = x(node*2+1: node*3); % 神经网络的输出 fx1 = W1' * h1; fx2 = W2' * h2; fx3 = W3' * h3; M_refer = fx1; C_refer = fx2; G_refer = fx3; % 名义模型控制律 taum = M_refer*ddqr + C_refer*dqr + G_refer; % 鲁棒项 taur = kr*sign(s_new); dt = 0.001; inte_s = inte_s + (s_past + s_new)*dt/2; tau = taum + kp*s_new + ki*inte_s + taur; sys(1) = tau; sys(2) = fx1; sys(3) = fx2; sys(4) = fx3; s_past = s_new;