📄 chap3_4.m
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%Discrete Reaching Law VSS Control
clear all;
close all;
a=25;b=133;
ts=0.001;
A1=[0,1;0,-a];
B1=[0;b];
C1=[1,0];
D1=0;
[A,B,C,D]=c2dm(A1,B1,C1,D1,ts,'z');
x=[-0.5;-0.5];
r_1=0;r_2=0;
for k=1:1:2000
time(k)=k*ts;
r(k)=0.5*sin(3*2*pi*k*ts);
c=10;eq=5;q=30;
Ce=[c,1];
%Using Waitui method
dr(k)=(r(k)-r_1)/ts;
dr_1=(r_1-r_2)/ts;
r1(k)=2*r(k)-r_1;
dr1(k)=2*dr(k)-dr_1;
R=[r(k);dr(k)];
R1=[r1(k);dr1(k)];
E=R-x;
e(k)=E(1);
de(k)=E(2);
s(k)=Ce*E;
ds(k)=-eq*ts*sign(s(k))-q*ts*s(k);
u(k)=inv(Ce*B)*(Ce*R1-Ce*A*x-s(k)-ds(k));
x=A*x+B*u(k);
y(k)=x(1);
%Update Parameters
r_2=r_1;
r_1=r(k);
end
figure(1)
plot(time,r,'r',time,y,'b');
xlabel('Time(second)');ylabel('(r and y)');
figure(2)
plot(time,s,'r');
xlabel('Time(second)');ylabel('Switch function s');
figure(3)
plot(e,de,'r',e,-c*e,'b');
xlabel('e');ylabel('de');
figure(4)
plot(time,u,'r');
xlabel('Time(second)');ylabel('u');
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