📄 chap5_2.asv
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function polestar()
clear all;
close all;
global rin yout timef
size=30;
codel=3;
MinX(1)=zeros(1);
MaxX(1)=20*ones(1);
MinX(2)=zeros(1);
MaxX(2)=1.0*ones(1);
MinX(3)=zeros(1);
MaxX(3)=1.0*ones(1);
Kpid(:,1)=MinX(1)+(MaxX(1)-MinX(1))*rand(size,1);
Kpid(:,2)=MinX(2)+(MaxX(2)-MinX(2))*rand(size,1);
Kpid(:,3)=MinX(3)+(MaxX(3)-MinX(3))*rand(size,1);
G=100;
BsJ=0;
for kg=1:1:G
time(kg)=kg;
for i=1:1:size
Kpidi=Kpid(i,:);
[Kpidi,BsJ]=pid_gaf(Kpidi,BsJ);
BsJi(i)=BsJ;
end
[OderJi,IndexJi]=sort(BsJi);
BestJ(kg)=OderJi(1);
BJ=BestJ(kg);
Ji=BsJi+1e-10;
fi=1./Ji;
[Oderfi,Indexfi]=sort(fi);
Bestfi=Oderfi(size);
BestS=Kpid(Indexfi(size),:);
kg
BJ
BestS
fi_sum=sum(fi);
fi_size=(Oderfi/fi_sum)*size;
fi_S=floor(fi_size);
r=size-sum(fi_S);
Rest=fi_size-fi_S;
[RestValue,Index]=sort(Rest);
for i=size:-1:size-r+1
fi_S(Index(i))=fi_S(Index(i))+1;
end
k=1;
for i=size:-1:1
for j=1:1:fi_S(i);
TempE(k,:)=Kpid(Indexfi(i),:);
k=k+1;
end
end
pc=0.90;
for i=1:2:(size-1)
temp=rand;
if pc>temp
alfa=rand;
TempE(i,:)=alfa*Kpid(i+1,:)+(1-alfa)*Kpid(i,:);
TempE(i+1,:)=alfa*Kpid(i,:)+(1-alfa)*Kpid(i+1,:);
end
end
TempE(size,:)=BestS;
Kpid=TempE;
pm=0.10-[1:1:size]*(0.01)/size;
pm_rand=rand(size,codel);
Mean=(MaxX+MinX)/2;
Dif=(MaxX-MinX);
for i=1:1:size
for j=1:1:codel
if pm(i)>pm_rand(i,j)
TempE(i,j)=Mean(j)+Dif(j)*(rand-0.5);
end
end
end
TempE(size,:)=BestS;
Kpid=TempE;
end
Bestfi
BestS
Best_J=BestJ(G)
figure(1);
plot(time,BestJ);
xlabel('Times');ylabel('BestJ');
figure(2);
plot(timef,rin,'r',timef,yout,'b');
xlabel('Time(s)');ylabel('rin,yout');
function [Kpidi,BsJ]=pid_gaf(Kpidi,BsJ)
global in 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);
u_2=u_1;u_1=u(k);
y_2=y_1;y_1=yout(k);
x(1)=error(k)
x(2)=(error(k)-error_1)/ts;
x(3)=x(3)+error(k)*ts;
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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