📄 chap2_8s.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.NumContStates = 0;
sizes.NumDiscStates = 0;
sizes.NumOutputs = 1;
sizes.NumInputs = 2;
sizes.DirFeedthrough = 1;
sizes.NumSampleTimes = 0;
sys = simsizes(sizes);
x0 = [];
str = [];
ts = [];
function sys=mdlOutputs(t,x,u)
r=sin(2*pi*t);
dr=2*pi*cos(2*pi*t);
ddr=-(2*pi)^2*sin(2*pi*t);
x1=u(1);
x2=u(2);
a=5.0;
fx=3*x2;
c=5;
s=c*x1+x2;
F=3.0;
D=10;
xite=10;
kx=F+D+xite;
M=1;
if M==1 %Switch function
ut=1/a*(-fx-c*x2-kx*sign(s));
elseif M==2 %Saturated function
fai=0.20;
if abs(s)<=fai
sat=s/fai;
else
sat=sign(s);
end
ut=1/a*(-fx-c*x2-kx*sat);
elseif M==3 %Relay function
delta=0.001;
rs=s/(abs(s)+delta);
ut=1/a*(-fx-c*x2-kx*rs);
end
sys(1)=ut;
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