?? chap5_2f.m
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function [Kpidi,BsJ]=pid_gaf(Kpidi,BsJ)
global rin yout timef
ts=0.001;
sys=tf(400,[1,50,0]);
dsys=c2d(sys,ts,'z');
[num,den]=tfdata(dsys,'v');
rin=1.0;
u_1=0.0;u_2=0.0;
y_1=0.0;y_2=0.0;
x=[0,0,0]';
B=0;
error_1=0;
tu=1;
s=0;
P=100;
for k=1:1:P
timef(k)=k*ts;
r(k)=rin;
u(k)=Kpidi(1)*x(1)+Kpidi(2)*x(2)+Kpidi(3)*x(3);
if u(k)>=10
u(k)=10;
end
if u(k)<=-10
u(k)=-10;
end
yout(k)=-den(2)*y_1-den(3)*y_2+num(2)*u_1+num(3)*u_2;
error(k)=r(k)-yout(k);
%------------ Return of PID parameters -------------
u_2=u_1;u_1=u(k);
y_2=y_1;y_1=yout(k);
x(1)=error(k); % Calculating P
x(2)=(error(k)-error_1)/ts; % Calculating D
x(3)=x(3)+error(k)*ts; % Calculating I
error_2=error_1;
error_1=error(k);
if s==0
if yout(k)>0.95&yout(k)<1.05
tu=timef(k);
s=1;
end
end
end
for i=1:1:P
Ji(i)=0.999*abs(error(i))+0.01*u(i)^2*0.1;
B=B+Ji(i);
if i>1
erry(i)=yout(i)-yout(i-1);
if erry(i)<0
B=B+100*abs(erry(i));
end
end
end
BsJ=B+0.2*tu*10;
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