📄 with_dc.m
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%Fuzzy Controller
clear all;close all;
%**************************模糊控制单元*********************************%
a=newfis('fuzz_ls'); % 新建模糊推理系统
f1=1.0;
a=addvar(a,'input','e',[-3*f1,3*f1]); % 添加输入变量 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]); % 添加输入变量 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=1.0;
a=addvar(a,'output','u',[-3*f3,3*f3]); % 添加输出变量 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; % 编辑模糊规则
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); %添加模糊规则
%showrule(a) %显示模糊规则
a1=setfis(a,'DefuzzMethod','centroid'); %重心法反模糊化
writefis(a1,'ls'); %保存
a2=readfis('ls'); %读取
%**********************************************************************%
%*******************u2有阶跃的隶属度函数和模糊规则设计********************%
dca=newfis('fuzz_ls1');
% f1=1.0;
% dca=addvar(dca,'input','au1',[-3*f1,3*f1]); % Parameter au1
% dca=addmf(dca,'input',1,'NB','zmf',[-2.5*f1,-1.5*f1]);
% dca=addmf(dca,'input',1,'NS','trimf',[-2.5*f1,-1.5*f1,0*f1]);
% dca=addmf(dca,'input',1,'Z','trimf',[-1.5*f1,0*f1,1.5*f1]);
% dca=addmf(dca,'input',1,'PS','trimf',[0*f1,1.5*f1,2.5*f1]);
% dca=addmf(dca,'input',1,'PB','smf',[1.5*f1,2.5*f1]);
%
% f2=1.0;
% dca=addvar(dca,'input','ae2',[-3*f1,3*f1]); % Parameter ae2
% dca=addmf(dca,'input',2,'NB','zmf',[-2.5*f1,-1.5*f1]);
% dca=addmf(dca,'input',2,'NS','trimf',[-2.5*f1,-1.5*f1,0*f1]);
% dca=addmf(dca,'input',2,'Z','trimf',[-1.5*f1,0*f1,1.5*f1]);
% dca=addmf(dca,'input',2,'PS','trimf',[0*f1,1.5*f1,2.5*f1]);
% dca=addmf(dca,'input',2,'PB','smf',[1.5*f1,2.5*f1]);
%
%
% %f3=1.4;
% f3=1.0;
% dca=addvar(dca,'output','du12',[-3*f1,3*f1]); % Parameter du12
% dca=addmf(dca,'output',1,'NB','zmf',[-2.5*f1,-1.5*f1]);
% dca=addmf(dca,'output',1,'NS','trimf',[-2.5*f1,-1.5*f1,0*f1]);
% dca=addmf(dca,'output',1,'Z','trimf',[-1.5*f1,0*f1,1.5*f1]);
% dca=addmf(dca,'output',1,'PS','trimf',[0.5*f1,1.5*f1,2.5*f1]);
% dca=addmf(dca,'output',1,'PB','smf',[1.5*f1,2.5*f1]);
f1=1.0;
dca=addvar(dca,'input','au1',[-3*f1,3*f1]); % Parameter au1
dca=addmf(dca,'input',1,'NB','zmf',[-2*f1,-1*f1]);
dca=addmf(dca,'input',1,'NS','trimf',[-2.0*f1,-1*f1,0*f1]);
dca=addmf(dca,'input',1,'Z','trimf',[-1.0*f1,0*f1,1.0*f1]);
dca=addmf(dca,'input',1,'PS','trimf',[0*f1,1*f1,2.0*f1]);
dca=addmf(dca,'input',1,'PB','smf',[1*f1,2*f1]);
f2=1.0;
dca=addvar(dca,'input','ae2',[-3*f1,3*f1]); % Parameter ae2
dca=addmf(dca,'input',2,'NB','zmf',[-2*f1,-1*f1]);
dca=addmf(dca,'input',2,'NS','trimf',[-2*f1,-1*f1,0*f1]);
dca=addmf(dca,'input',2,'Z','trimf',[-1*f1,0*f1,1*f1]);
dca=addmf(dca,'input',2,'PS','trimf',[0*f1,1*f1,2*f1]);
dca=addmf(dca,'input',2,'PB','smf',[1*f1,2*f1]);
%f3=1.4;
f3=0;
dca=addvar(dca,'output','du12',[-3*f1,3*f1]); % Parameter du12
dca=addmf(dca,'output',1,'NB','zmf',[-2*f1,-1*f1]);
dca=addmf(dca,'output',1,'NS','trimf',[-2.0*f1,-1*f1,0*f1]);
dca=addmf(dca,'output',1,'Z','trimf',[-1.0*f1,0*f1,1.0*f1]);
dca=addmf(dca,'output',1,'PS','trimf',[0.5*f1,1*f1,2.0*f1]);
dca=addmf(dca,'output',1,'PB','smf',[1*f1,2*f1]);
rulelist1=[1 1 1 1 1; % Edit rule base
1 2 2 1 1;
1 3 2 1 1;
1 4 3 1 1;
1 5 3 1 1;
2 1 2 1 1;
2 2 2 1 1;
2 3 3 1 1;
2 4 3 1 1;
2 5 4 1 1;
3 1 2 1 1;
3 2 3 1 1;
3 3 3 1 1;
3 4 4 1 1;
3 5 4 1 1;
4 1 3 1 1;
4 2 3 1 1;
4 3 4 1 1;
4 4 4 1 1;
4 5 5 1 1;
5 1 3 1 1;
5 2 4 1 1;
5 3 4 1 1;
5 4 5 1 1;
5 5 5 1 1];
dca=addrule(dca,rulelist1);
%showrule(a) % Show fuzzy rule base
dca1=setfis(dca,'DefuzzMethod','centroid'); % Defuzzy
writefis(dca1,'ls1'); % save to fuzzy file "ljk.fis"
% simulated with fuzzy tool
dca2=readfis('ls1');
%**********************************************************************%
%****************u2有阶跃的隶属度函数和模糊规则设计***********************%
dcb=newfis('fuzz_ls2');
f1=1.0;
dcb=addvar(dcb,'input','au2',[-3*f1,3*f1]); % Parameter au2
dcb=addmf(dcb,'input',1,'NB','zmf',[-2.5*f1,-1.5*f1]);
dcb=addmf(dcb,'input',1,'NS','trimf',[-2.5*f1,-1.5*f1,0*f1]);
dcb=addmf(dcb,'input',1,'Z','trimf',[-1.5*f1,0*f1,1.5*f1]);
dcb=addmf(dcb,'input',1,'PS','trimf',[0*f1,1.5*f1,2.5*f1]);
dcb=addmf(dcb,'input',1,'PB','smf',[1.5*f1,2.5*f1]);
f2=1.0;
dcb=addvar(dcb,'input','ae1',[-3*f1,3*f1]); % Parameter ae1
dcb=addmf(dcb,'input',2,'NB','zmf',[-2.5*f1,-1.5*f1]);
dcb=addmf(dcb,'input',2,'NS','trimf',[-2.5*f1,-1.5*f1,0*f1]);
dcb=addmf(dcb,'input',2,'Z','trimf',[-1.5*f1,0*f1,1.5*f1]);
dcb=addmf(dcb,'input',2,'PS','trimf',[0*f1,1.5*f1,2.5*f1]);
dcb=addmf(dcb,'input',2,'PB','smf',[1.5*f1,2.5*f1]);
%f3=1.4;
f3=1.0;
dcb=addvar(dcb,'output','du12',[-3*f1,3*f1]); % Parameter du21
dcb=addmf(dcb,'output',1,'NB','zmf',[-2.5*f1,-1.5*f1]);
dcb=addmf(dcb,'output',1,'NS','trimf',[-2.5*f1,-1.5*f1,0*f1]);
dcb=addmf(dcb,'output',1,'Z','trimf',[-1.5*f1,0*f1,1.5*f1]);
dcb=addmf(dcb,'output',1,'PS','trimf',[0.5*f1,1.5*f1,2.5*f1]);
dcb=addmf(dcb,'output',1,'PB','smf',[1.5*f1,2.5*f1]);
rulelist2=[1 1 5 1 1; % Edit rule base
1 2 4 1 1;
1 3 4 1 1;
1 4 3 1 1;
1 5 3 1 1;
2 1 4 1 1;
2 2 4 1 1;
2 3 3 1 1;
2 4 3 1 1;
2 5 2 1 1;
3 1 4 1 1;
3 2 3 1 1;
3 3 3 1 1;
3 4 2 1 1;
3 5 2 1 1;
4 1 3 1 1;
4 2 3 1 1;
4 3 2 1 1;
4 4 2 1 1;
4 5 1 1 1;
5 1 3 1 1;
5 2 2 1 1;
5 3 2 1 1;
5 4 1 1 1;
5 5 1 1 1];
dcb=addrule(dcb,rulelist2);
%showrule(a) % Show fuzzy rule base
dcb1=setfis(dcb,'DefuzzMethod','centroid'); % Defuzzy
writefis(dcb1,'ls2'); % save to fuzzy file "ljk.fis"
% simulated with fuzzy tool
dcb2=readfis('ls2');
%*********************************************************************%
%******************* Using Fuzzy Controller****************************%
e1_1=0.0;
ec1_1=0.0;
e2_1=0.0;
ec2_1=0.0;
u1(1)=0.0;
u2(1)=0.0;
X1(1)=0.0;
X2(1)=0.0;
% G=[0.9986 0;0 0.9972];
% H=[0.2776 0.2776;-5.5487 5.5487];
% C=[1 0;0 1];
G=[1 0;0 1];
H=[0.5 0.5;-4 2];
C=[1 0;0 1];
yout1(1)=0;
yout2(1)=0;
ts=0.5;
%********************Start of Control**********************************%
for k=2:1:600
T(k)=k*ts;
rin1(k)=0.5;
rin2(k)=0.5;
if k>=200 %100s时rin1有阶跃变化
rin1(k)=1;
end
if k>=400 %200s时rin2有阶跃变化
rin2(k)=1;
end
error1(k)=yout1(k-1)-rin1(k); %计算偏差
error2(k)=yout2(k-1)-rin2(k);
e1_1=error1(k);
ec1_1=error1(k)-error1(k-1);
e2_1=error2(k);
ec2_1=error2(k)-error2(k-1);
u1(k)=evalfis([e1_1 ec1_1],a2)/3; %Using fuzzy inference
u2(k)=evalfis([e2_1 ec2_1],a2)/3; %Using fuzzy inference
%**********************模糊控制补偿***************************************%
au1=u1(k)-u1(k-1);
ae2=error2(k)-error2(k-1);
du12(k)=evalfis([au1 ae2],dca2)/4;
au2=u2(k)-u2(k-1);
ae1=error1(k)-error1(k-1);
du21(k)=evalfis([au2 ae1],dcb2)/4;
u1(k)=u1(k)+du21(k); %Using fuzzy inference
u2(k)=u2(k)+du12(k); %Using fuzzy inference
%************************************************************************%
%********************耦合单元********************************************%
X1(k)=G(1,1)*X1(k-1)+G(1,2)*X2(k-1)+H(1,1)*u1(k)+H(1,2)*u2(k);
X2(k)=G(2,1)*X1(k-1)+G(2,2)*X2(k-1)+H(2,1)*u1(k)+H(2,2)*u2(k);
yout1(k)=C(1,1)*X1(k);
yout2(k)=C(2,2)*X2(k);
%************************************************************************%
end
%************************************************************************%
%保存 调用
save '\ls\with_dc11.txt' yout1 -ascii
load '\ls\with_dc11.txt'
g1=with_dc11;
save '\ls\with_dc21.txt' yout2 -ascii
load '\ls\with_dc21.txt'
g2=with_dc21;
save '\ls\with_dc12.txt' u1 -ascii
load '\ls\with_dc12.txt'
h1=with_dc12;
save '\ls\with_dc22.txt' u2 -ascii
load '\ls\with_dc22.txt'
h2=with_dc22;
load '\ls\without_dc11.txt'
g3=without_dc11;
load '\ls\without_dc12.txt'
h3=without_dc12;
load '\ls\without_dc21.txt'
g4=without_dc21;
load '\ls\without_dc22.txt'
h4=without_dc22;
% 结束
%************************************************************************%
%************************************************************************%
% 输出图形
figure(1);
subplot 211;
plot(T,rin1,'b',T,g1,'r',T,g3,':black');
xlabel('Time(second)');ylabel('rin1,yout1');
subplot 212;
plot(T,rin2,'b',T,g2,'r',T,g4,':black');
xlabel('Time(second)');ylabel('rin2,yout2');
figure(2);
subplot 211;
plot(T,h1,'r',T,h3,':black');
xlabel('Time(second)');ylabel('u1');
subplot 212;
plot(T,h2,'r',T,h4,':black');
xlabel('Time(second)');ylabel('u2');
% 结束
%************************************************************************%
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