📄 chap7_3ctrl.m
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function [sys,x0,str,ts] = spacemodel(t,x,u,flag)
switch flag,
case 0,
[sys,x0,str,ts]=mdlInitializeSizes;
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
sizes = simsizes;
sizes.NumOutputs = 2;
sizes.NumInputs = 6;
sizes.DirFeedthrough = 1;
sizes.NumSampleTimes = 1;
sys = simsizes(sizes);
x0 = [];
str = [];
ts = [0 0];
function sys=mdlOutputs(t,x,u)
R1=u(1);
dr1=-pi*sin(pi*t);
ddr1=-pi^2*cos(pi*t);
R2=u(2);
dr2=pi*cos(pi*t);
ddr2=-pi^2*sin(pi*t);
x(1)=u(3);
x(2)=u(4);
x(3)=u(5);
x(4)=u(6);
e1=R1-x(1);
e2=R2-x(3);
de1=dr1-x(2);
de2=dr2-x(4);
v=13.33;q1=8.98;q2=8.75;g=9.8;
M=[v+q1+2*q2*cos(x(3)) q1+q2*cos(x(3));
q1+q2*cos(x(3)) q1];
C=[-q2*x(4)*sin(x(3)) -q2*(x(2)+x(4))*sin(x(3));
q2*x(2)*sin(x(3)) 0];
G=[15*g*cos(x(1))+8.75*g*cos(x(1)+x(3));
8.75*g*cos(x(1)+x(3))];
H=C*[x(2);x(4)]+G;
fU=3;fL=-3;
fm=(fU-fL)/2;
fp=(fU+fL)/2;
ddr=[ddr1;ddr2];
c1=5;c2=5;
s1=c1*e1+de1;
s2=c2*e2+de2;
s=[s1;s2];
eq=0.5;k=5;
tol=M*([c1*de1;c2*de2]+ddr+eq*sign(s)+k*s)+H-(fp-fm*sign(s));
sys(1)=tol(1);
sys(2)=tol(2);
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