📄 fuzzypi.m
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% Fuzzy Turning PI Control
% clear all;
% close all;
a=newfis('fuzzpi');
a=addvar(a,'input','e',[-3,3]);
a=addmf(a,'input',1,'NB','zmf',[-3,-1]);
a=addmf(a,'input',1,'NM','trimf',[-3,-2,0]);
a=addmf(a,'input',1,'NS','trimf',[-3,-1,1]);
a=addmf(a,'input',1,'Z','trimf',[-2,0,2]);
a=addmf(a,'input',1,'PS','trimf',[-1,1,3]);
a=addmf(a,'input',1,'PM','trimf',[0,2,3]);
a=addmf(a,'input',1,'PB','smf',[1,3]);
a=addvar(a,'input','ec',[-3,3]);
a=addmf(a,'input',2,'NB','zmf',[-3,-1]);
a=addmf(a,'input',2,'NM','trimf',[-3,-2,0]);
a=addmf(a,'input',2,'NS','trimf',[-3,-1,1]);
a=addmf(a,'input',2,'Z','trimf',[-2,0,2]);
a=addmf(a,'input',2,'PS','trimf',[-1,1,3]);
a=addmf(a,'input',2,'PM','trimf',[0,2,3]);
a=addmf(a,'input',2,'PB','smf',[1,3]);
a=addvar(a,'output','kp',[-0.3,0.3]);
a=addmf(a,'output',1,'NB','zmf',[-0.3,-0.1]);
a=addmf(a,'output',1,'NM','trimf',[-0.3,-0.2,0]);
a=addmf(a,'output',1,'NS','trimf',[-0.3,-0.1,0.1]);
a=addmf(a,'output',1,'Z','trimf',[-0.2,0,0.2]);
a=addmf(a,'output',1,'PS','trimf',[-0.1,0.1,0.3]);
a=addmf(a,'output',1,'PM','trimf',[0,0.2,0.3]);
a=addmf(a,'output',1,'PB','smf',[0.1,0.3]);
a=addvar(a,'output','ki',[-0.06,0.06]);
a=addmf(a,'output',2,'NB','zmf',[-0.06,-0.02]);
a=addmf(a,'output',2,'NM','trimf',[-0.06,-0.04,0]);
a=addmf(a,'output',2,'NS','trimf',[-0.06,-0.02,0.02]);
a=addmf(a,'output',2,'Z','trimf',[-0.04,0,0.04]);
a=addmf(a,'output',2,'PS','trimf',[-0.02,0.02,0.06]);
a=addmf(a,'output',2,'PM','trimf',[0,0.04,0.06]);
a=addmf(a,'output',2,'PB','smf',[0.02,0.06]);
rulelist=[1 1 7 1 1 1;
1 2 7 1 1 1;
1 3 6 2 1 1;
1 4 6 2 1 1;
1 5 5 3 1 1;
1 6 4 4 1 1;
1 7 4 4 1 1;
2 1 7 1 1 1;
2 2 7 1 1 1;
2 3 6 2 1 1;
2 4 5 3 1 1;
2 5 5 3 1 1;
2 6 4 4 1 1;
2 7 3 4 1 1;
3 1 6 1 1 1;
3 2 6 2 1 1;
3 3 6 3 1 1;
3 4 5 3 1 1;
3 5 4 4 1 1;
3 6 3 5 1 1 ;
3 7 3 5 1 1;
4 1 6 2 1 1;
4 2 6 2 1 1;
4 3 5 3 1 1;
4 4 4 4 1 1 ;
4 5 3 5 1 1;
4 6 2 6 1 1;
4 7 2 6 1 1;
5 1 5 2 1 1;
5 2 5 3 1 1;
5 3 4 4 1 1;
5 4 3 5 1 1;
5 5 3 5 1 1;
5 6 2 6 1 1;
5 7 2 7 1 1;
6 1 5 4 1 1;
6 2 4 4 1 1;
6 3 3 5 1 1;
6 4 2 5 1 1;
6 5 2 6 1 1;
6 6 2 7 1 1;
6 7 1 7 1 1;
7 1 4 4 1 1;
7 2 4 4 1 1;
7 3 2 5 1 1;
7 4 2 6 1 1;
7 5 2 6 1 1;
7 6 1 7 1 1;
7 7 1 7 1 1];
a=addrule(a,rulelist);
a=setfis(a,'DefuzzMethod','centroid');
writefis(a,'fuzzpi');
a=readfis('fuzzpi');
%PI Controller
ts=0.1;
sys=tf([72],[60,1],'inputdelay',6);
dsys=c2d(sys,ts,'tustin')
[num,den]=tfdata(dsys,'v')
u_1=0.0;
y_1=0;
x=[0,0]';
error_1=0;
e_1=0;
ec_1=0;
kp0=0.4;
ki0=0.0;
for k=1:1:300
time(k)=k*ts;
rin(k)=10;
%Using fuzzy inference to turning PI
k_pi=evalfis([e_1,ec_1],a);
kp(k)=kp0+k_pi(1);
ki(k)=ki0+k_pi(2);
u(k)=kp(k)*x(1)+ki(k)*x(2);
yout(k)=-den(2)*y_1+num(1)*u(k)+num(2)*u_1;
error(k)=rin(k)-yout(k);
%Ruturen of PI
u_1=u(k);
y_1=yout(k);
x(1)=error(k);
x(2)=x(2)+error(k)*ts;
ec_1=error(k)-error_1;
error_2=error_1;
error_1=error(k);
end
showrule(a)
figure(1);plot(time,rin,'b',time,yout,'r');
xlabel('time(s)');ylabel('rin,yout');
figure(2);plot(time,error,'r');
xlabel('time(s)');ylabel('error');
figure(3);plot(time,u,'r');
xlabel('time(s)');ylabel('u');
figure(4);plot(time,kp,'r');
xlabel('time(s)');ylabel('kp');
figure(5);plot(time,ki,'r');
xlabel('time(s)');ylabel('ki');
figure(6);plotmf(a,'input',1);
figure(7);plotmf(a,'input',2);
figure(8);plotmf(a,'output',1);
figure(9);plotmf(a,'output',2);
plotfis(a);
fuzzy fuzzpi;
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