📄 mychap5_2f.m
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function [Kfuzzyi,BsJ]=fuzzy_gaf(Kfuzzyi,BsJ)
global rin yout timef
a=newfis('fuzzf');
a=addvar(a,'input','e',[-1000,1000]); %Parameter e
a=addmf(a,'input',1,'NB','zmf',[-3-Kfuzzyi(11),-2-Kfuzzyi(10)]);
a=addmf(a,'input',1,'NM','trimf',[-3-Kfuzzyi(9),-2-Kfuzzyi(8),-1-Kfuzzyi(7)]);
a=addmf(a,'input',1,'NS','trimf',[-2-Kfuzzyi(6),-1-Kfuzzyi(5),0]);
a=addmf(a,'input',1,'Z','trimf',[-1-Kfuzzyi(4),0,1+Kfuzzyi(4)]);
a=addmf(a,'input',1,'PS','trimf',[0,1+Kfuzzyi(5),2+Kfuzzyi(6)]);
a=addmf(a,'input',1,'PM','trimf',[1+Kfuzzyi(7),2+Kfuzzyi(8),3+Kfuzzyi(9)]);
a=addmf(a,'input',1,'PB','smf',[2+Kfuzzyi(10),3+Kfuzzyi(11)]);
a=addvar(a,'input','ec',[-1000,1000]); %Parameter ec
a=addmf(a,'input',2,'NB','zmf',[-3-Kfuzzyi(11),-2-Kfuzzyi(10)]);
a=addmf(a,'input',2,'NM','trimf',[-3-Kfuzzyi(9),-2-Kfuzzyi(8),-1-Kfuzzyi(7)]);
a=addmf(a,'input',2,'NS','trimf',[-2-Kfuzzyi(6),-1-Kfuzzyi(5),0]);
a=addmf(a,'input',2,'Z','trimf',[-1-Kfuzzyi(4),0,1+Kfuzzyi(4)]);
a=addmf(a,'input',2,'PS','trimf',[0,1+Kfuzzyi(5),2+Kfuzzyi(6)]);
a=addmf(a,'input',2,'PM','trimf',[1+Kfuzzyi(7),2+Kfuzzyi(8),3+Kfuzzyi(9)]);
a=addmf(a,'input',2,'PB','smf',[2+Kfuzzyi(10),3+Kfuzzyi(11)]);
a=addvar(a,'output','u',[-3,3]); %Parameter u
a=addmf(a,'output',1,'NB','zmf',[-3-Kfuzzyi(11),-2-Kfuzzyi(10)]);
a=addmf(a,'output',1,'NM','trimf',[-3-Kfuzzyi(9),-2-Kfuzzyi(8),-1-Kfuzzyi(7)]);
a=addmf(a,'output',1,'NS','trimf',[-2-Kfuzzyi(6),-1-Kfuzzyi(5),0]);
a=addmf(a,'output',1,'Z','trimf',[-1-Kfuzzyi(4),0,1+Kfuzzyi(4)]);
a=addmf(a,'output',1,'PS','trimf',[0,1+Kfuzzyi(5),2+Kfuzzyi(6)]);
a=addmf(a,'output',1,'PM','trimf',[1+Kfuzzyi(7),2+Kfuzzyi(8),3+Kfuzzyi(9)]);
a=addmf(a,'output',1,'PB','smf',[2+Kfuzzyi(10),3+Kfuzzyi(11)]);
rulelist=[1 1 1 1 1; %Edit rule base
1 2 1 1 1;
1 3 2 1 1;
1 4 2 1 1;
1 5 3 1 1;
1 6 3 1 1;
1 7 4 1 1;
2 1 1 1 1;
2 2 2 1 1;
2 3 2 1 1;
2 4 3 1 1;
2 5 3 1 1;
2 6 4 1 1;
2 7 5 1 1;
3 1 2 1 1;
3 2 2 1 1;
3 3 3 1 1;
3 4 3 1 1;
3 5 4 1 1;
3 6 5 1 1;
3 7 5 1 1;
4 1 2 1 1;
4 2 3 1 1;
4 3 3 1 1;
4 4 4 1 1;
4 5 5 1 1;
4 6 5 1 1;
4 7 6 1 1;
5 1 3 1 1;
5 2 3 1 1;
5 3 4 1 1;
5 4 5 1 1;
5 5 5 1 1;
5 6 6 1 1;
5 7 6 1 1;
6 1 3 1 1;
6 2 4 1 1;
6 3 5 1 1;
6 4 5 1 1;
6 5 6 1 1;
6 6 6 1 1;
6 7 7 1 1;
7 1 4 1 1;
7 2 5 1 1;
7 3 5 1 1;
7 4 6 1 1;
7 5 6 1 1;
7 6 7 1 1;
7 7 7 1 1];
a=addrule(a,rulelist);
%showrule(a) % Show fuzzy rule base
a=setfis(a,'DefuzzMethod','mom'); % Defuzzy
writefis(a,'fuzzf'); % save to fuzzy file "fuzzf.fis" which can be
% simulated with fuzzy tool
a=readfis('fuzzf');
ts=0.001;
sys=tf(5.235e005,[1,87.35,1.047e004,0]);
dsys=c2d(sys,ts,'tustin');
[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;
%x=[0,0,0]';
rin=1;
error_1=0;
e_1=0.0;
ec_1=0.0;
BsJ=0;
P=500;
for k=1:1:P
timef(k)=k*ts;
r(k)=rin;
c=e_1*Kfuzzyi(1);d=ec_1*Kfuzzyi(2);
u(k)=evalfis([c,d],a);
yout(k)=-den(2)*y_1-den(3)*y_2-den(4)*y_3+num(1)*u(k)*Kfuzzyi(3)+num(2)*u_1*Kfuzzyi(3)+num(3)*u_2*Kfuzzyi(3)+num(4)*u_3*Kfuzzyi(3);
error(k)=r(k)-yout(k);
Ji(k)=timef(k)*abs(error(k));
BsJ=BsJ+Ji(k);
%------------ Return of PID parameters -------------
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;
error_2=error_1;
error_1=error(k);
end
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