📄 chap3_4.m
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%Fuzzy Controller
clear all;close all;
a=newfis('fuzz_ljk');
f1=1.0;
a=addvar(a,'input','e',[-3*f1,3*f1]); % Parameter e
a=addmf(a,'input',1,'NB','zmf',[-3*f1,-1*f1]);
a=addmf(a,'input',1,'NM','trimf',[-3*f1,-2*f1,0]);
a=addmf(a,'input',1,'NS','trimf',[-3*f1,-1*f1,1*f1]);
a=addmf(a,'input',1,'Z','trimf',[-2*f1,0,2*f1]);
a=addmf(a,'input',1,'PS','trimf',[-1*f1,1*f1,3*f1]);
a=addmf(a,'input',1,'PM','trimf',[0,2*f1,3*f1]);
a=addmf(a,'input',1,'PB','smf',[1*f1,3*f1]);
f2=1.0;
a=addvar(a,'input','ec',[-3*f2,3*f2]); % Parameter ec
a=addmf(a,'input',2,'NB','zmf',[-3*f2,-1*f2]);
a=addmf(a,'input',2,'NM','trimf',[-3*f2,-2*f2,0]);
a=addmf(a,'input',2,'NS','trimf',[-3*f2,-1*f2,1*f2]);
a=addmf(a,'input',2,'Z','trimf',[-2*f2,0,2*f2]);
a=addmf(a,'input',2,'PS','trimf',[-1*f2,1*f2,3*f2]);
a=addmf(a,'input',2,'PM','trimf',[0,2*f2,3*f2]);
a=addmf(a,'input',2,'PB','smf',[1*f2,3*f2]);
%f3=1.4;
f3=1.5;
a=addvar(a,'output','u',[-3*f3,3*f3]); % Parameter u
a=addmf(a,'output',1,'NB','zmf',[-3*f3,-1*f3]);
a=addmf(a,'output',1,'NM','trimf',[-3*f3,-2*f3,0]);
a=addmf(a,'output',1,'NS','trimf',[-3*f3,-1*f3,1*f3]);
a=addmf(a,'output',1,'Z','trimf',[-2*f3,0,2*f3]);
a=addmf(a,'output',1,'PS','trimf',[-1*f3,1*f3,3*f3]);
a=addmf(a,'output',1,'PM','trimf',[0,2*f3,3*f3]);
a=addmf(a,'output',1,'PB','smf',[1*f3,3*f3]);
%Each rule is a PD rule: error=rin-yout (nagative feedback)
rulelist=[1 1 7 1 1; % Edit rule base
1 2 7 1 1;
1 3 6 1 1;
1 4 6 1 1;
1 5 5 1 1;
1 6 5 1 1;
1 7 4 1 1;
2 1 7 1 1;
2 2 6 1 1;
2 3 6 1 1;
2 4 5 1 1;
2 5 5 1 1;
2 6 4 1 1;
2 7 3 1 1;
3 1 6 1 1;
3 2 6 1 1;
3 3 5 1 1;
3 4 5 1 1;
3 5 4 1 1;
3 6 3 1 1;
3 7 3 1 1;
4 1 6 1 1;
4 2 5 1 1;
4 3 5 1 1;
4 4 4 1 1;
4 5 3 1 1;
4 6 3 1 1;
4 7 2 1 1;
5 1 5 1 1;
5 2 5 1 1;
5 3 4 1 1;
5 4 3 1 1;
5 5 3 1 1;
5 6 2 1 1;
5 7 2 1 1;
6 1 5 1 1;
6 2 5 1 1;
6 3 4 1 1;
6 4 3 1 1;
6 5 2 1 1;
6 6 2 1 1;
6 7 1 1 1;
7 1 4 1 1;
7 2 3 1 1;
7 3 3 1 1;
7 4 2 1 1;
7 5 2 1 1;
7 6 1 1 1;
7 7 1 1 1];
a=addrule(a,rulelist);
%showrule(a) % Show fuzzy rule base
a1=setfis(a,'DefuzzMethod','centroid'); % Defuzzy
writefis(a1,'ljk'); % save to fuzzy file "ljk.fis" which can be
% simulated with fuzzy tool
a2=readfis('ljk');
%plotfis(a2);
%fuzzy ljk.fis %Demo fuzzy control simulation
%ruleview(a2);
%%%%%%%%%%%%%%%%%% Using Fuzzy Controller%%%%%%%%%%%%%%%%%
sys=tf(5.235e005,[1,87.35,1.047e004,0]);
dsys=c2d(sys,0.001,'z');
[num,den]=tfdata(dsys,'v');
u_1=0.0;u_2=0.0;u_3=0.0;
y_1=0;y_2=0;y_3=0;
error_1=0;
e_1=0.0;
ec_1=0.0;
ei=0;
ts=0.001;
%----------------------------------------
% Start of Control
%----------------------------------------
for k=1:1:2000
time(k)=k*ts;
rin(k)=1*sign(sin(1*2*pi*k*ts)); %Tracing Fangbo Signal
yout(k)=-den(2)*y_1-den(3)*y_2-den(4)*y_3+num(2)*u_1+num(3)*u_2+num(4)*u_3;
error(k)=yout(k)-rin(k);
ei=ei+error(k)*ts;
u(k)=evalfis([e_1 ec_1],a2); %Using fuzzy inference
u_3=u_2;
u_2=u_1;
u_1=u(k);
y_3=y_2;
y_2=y_1;
y_1=yout(k);
e_1=error(k);
%ec_1=(error(k)-error_1)/ts;
ec_1=error(k)-error_1;
error_2=error_1;
error_1=error(k);
end
figure(1);
plot(time,rin,'b',time,yout,'r');
xlabel('Time(second)');ylabel('rin,yout');
figure(2);
plot(time,u,'r');
xlabel('Time(second)');ylabel('u');
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