📄 chap6_8v.m
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function [sys,x0,str,ts] = controller1(t,x,u,flag)
switch flag,
case 0,
[sys,x0,str,ts]=mdlInitializeSizes;
case 3,
sys=mdlOutputs(t,x,u);
case {1,2,4,9}
sys=[];
otherwise
error(['Unhandled flag = ',num2str(flag)]);
end
function [sys,x0,str,ts]=mdlInitializeSizes
sizes = simsizes;
sizes.NumOutputs = 2;
sizes.NumInputs = 4;
sizes.DirFeedthrough = 1;
sizes.NumSampleTimes = 1;
sys = simsizes(sizes);
x0 = [];
str = [];
ts = [0 0];
function sys=mdlOutputs(t,x,u)
persistent k p_1
c1=10;c2=10;
xe=u(1);ye=u(3);
dxd=u(2);dyd=u(4);
m1=dxd+c1*xe;
m2=dyd+c2*ye;
z=m1+m2*i;
p=angle(z);
if t==0
k=0;
p_1=p;
end
delta=-0.8*pi^2; % Change nearly in -pi and +pi
if p*p_1<delta % Guarantee p is in [0,2*pi]
if p<0
k=k+1;
else
k=k-1;
end
end
p_1=p;
alfa=p+2*pi*k;
v=norm(z);
sys(1)=v;
sys(2)=alfa;
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