📄 chap9_5plant.m
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function [sys,x0,str,ts]=s_function(t,x,u,flag)
switch flag,
case 0,
[sys,x0,str,ts]=mdlInitializeSizes;
case 1,
sys=mdlDerivatives(t,x,u);
case 3,
sys=mdlOutputs(t,x,u);
case {2, 4, 9 }
sys = [];
otherwise
error(['Unhandled flag = ',num2str(flag)]);
end
function [sys,x0,str,ts]=mdlInitializeSizes
global p g
sizes = simsizes;
sizes.NumContStates = 4;
sizes.NumDiscStates = 0;
sizes.NumOutputs = 5;
sizes.NumInputs =3;
sizes.DirFeedthrough = 0;
sizes.NumSampleTimes = 0;
sys=simsizes(sizes);
x0=[0.09 0 -0.09 0];
str=[];
ts=[];
p=[2.9 0.76 0.87 3.04 0.87];
g=9.8;
function sys=mdlDerivatives(t,x,u) %From Ge book program
global p g
M=[p(1)+p(2)+2*p(3)*cos(x(3)) p(2)+p(3)*cos(x(3));
p(2)+p(3)*cos(x(3)) p(2)];
V=[-p(3)*x(4)*sin(x(3)) -p(3)*(x(2)+x(4))*sin(x(3));
p(3)*x(2)*sin(x(3)) 0];
G=[p(4)*g*cos(x(1))+p(5)*g*cos(x(1)+x(3));
p(5)*g*cos(x(1)+x(3))];
dq=[x(2);x(4)];
F=0.02*sign(dq);
told=[0.2*sin(t);0.2*sin(t)];
tol=u(1:2);
S=inv(M)*(tol-V*dq-G-F-told);
sys(1)=x(2);
sys(2)=S(1);
sys(3)=x(4);
sys(4)=S(2);
function sys=mdlOutputs(t,x,u)
global p g
M=[p(1)+p(2)+2*p(3)*cos(x(3)) p(2)+p(3)*cos(x(3));
p(2)+p(3)*cos(x(3)) p(2)];
V=[-p(3)*x(4)*sin(x(3)) -p(3)*(x(2)+x(4))*sin(x(3));
p(3)*x(2)*sin(x(3)) 0];
G=[p(4)*g*cos(x(1))+p(5)*g*cos(x(1)+x(3));
p(5)*g*cos(x(1)+x(3))];
dq=[x(2);x(4)];
F=0.02*sign(dq);
told=[0.2*sin(t);0.2*sin(t)];
qd1=sin(t);
d_qd1=cos(t);
dd_qd1=-sin(t);
qd2=sin(t);
d_qd2=cos(t);
dd_qd2=-sin(t);
qd1=0.1*sin(t);
d_qd1=0.1*cos(t);
dd_qd1=-0.1*sin(t);
qd2=0.1*sin(t);
d_qd2=0.1*cos(t);
dd_qd2=-0.1*sin(t);
q1=x(1);
d_q1=dq(1);
q2=x(3);
d_q2=dq(2);
q=[q1;q2];
e1=qd1-q1;
e2=qd2-q2;
de1=d_qd1-d_q1;
de2=d_qd2-d_q2;
e=[e1;e2];
de=[de1;de2];
Fai=5*eye(2);
dqd=[d_qd1;d_qd2];
dqr=dqd+Fai*e;
ddqd=[dd_qd1;dd_qd2];
ddqr=ddqd+Fai*de;
f=M*ddqr+V*dqr+G+F;
f_norm=norm(f);
sys(1)=x(1);
sys(2)=x(2);
sys(3)=x(3);
sys(4)=x(4);
sys(5)=f_norm;
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