📄 chap5_7s.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 = 3;
sizes.NumInputs = 3;
sizes.DirFeedthrough = 1;
sizes.NumSampleTimes = 0;
sys = simsizes(sizes);
x0 = [];
str = [];
ts = [];
function sys=mdlOutputs(t,x,u)
persistent w w_1 w_2 m b
Gp=133;
Gmax=150;
Gmin=100;
alfa=sqrt(Gmax/Gmin)+1;
r=1;dr=0;ddr=0;
e=u(1);
de=u(2)-dr;
c=5;
s=c*e+de;
fp=-25*u(2);
F=5*abs(u(2));
D=50;
Up=-fp-c*de+ddr;
ueq=1/Gp*Up;
xite=0.50;
M=1;
switch M
case 1
K=alfa*(F+D+xite+(alfa-1)*abs(Up));
case 2 %Using RBF
if t==0
w=30*ones(3,1);
m=3*ones(2,3);
b=5*ones(3,1);
w_1=w;
w_2=w_1;
end
ds=u(3);
xi=[s;ds];
for j=1:1:3
h(j)=exp(-norm(xi-m(:,j))^2/(2*b(j)*b(j)));
end
ym=w'*h';
K=abs(ym);
dyu=1.0;
xite1=0.80;
alfa1=0.05;
d_w=xite1*e*dyu*1/Gp*sign(s)*h'*sign(ym);
w=w_1+d_w+alfa1*(w_1-w_2);
end
un=-1/Gp*K*sign(s);
ut=ueq+un;
sys(1)=ut;
sys(2)=K;
sys(3)=s;
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