%Fuzzy Tunning PID Control
clear all;
close all;
a=newfis('fuzzpud'); %创建新的模糊推理系统(FIS)
a=addvar(a,'input','e',[-3,3]); %Parameter e 向模糊推理系统添加语言变量
a=addmf(a,'input',1,'NB','zmf',[-3,-1]); % 向模糊推理系统的语言变量添加隶属度函数,zmf指z-型 隶属度函数,trimf指三角形隶属度函数
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]); %Parameter ec
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]); %Parameter Kp
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]); %Parameter Ki
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',[0.021,0.06]);
a=addvar(a,'output','kd',[-3,3]); %Parameter Kd
a=addmf(a,'output',3,'NB','zmf',[-3,-1]);
a=addmf(a,'output',3,'NM','trimf',[-3,-2,0]);
a=addmf(a,'output',3,'NS','trimf',[-3,-1,1]);
a=addmf(a,'output',3,'Z','trimf',[-2,0,2]);
a=addmf(a,'output',3,'PS','trimf',[-1,1,3]);
a=addmf(a,'output',3,'PM','trimf',[0,2,3]);
a=addmf(a,'output',3,'PB','smf',[1,3]);
rulelist=[1 1 7 1 5 1 1; %rulelist是一个矩阵,每一行为一条规则,他们之间是ALSO的关系
1 2 7 1 3 1 1; %假定该FIS有N个输入和M个书橱,则每行有N+M+2个元素,前N个数分别表示N个输入变量的某一个语言名称的index
1 3 6 2 1 1 1; %没有的话用0表示,后面两个分别表示该条规则的权重和各条件的关系,1表示AND,2表示OR
1 4 6 2 1 1 1;
1 5 5 3 1 1 1;
1 6 4 4 2 1 1;
1 7 4 4 5 1 1;
2 1 7 1 5 1 1;
2 2 7 1 3 1 1;
2 3 6 2 1 1 1;
2 4 5 3 2 1 1;
2 5 5 3 2 1 1;
2 6 4 4 3 1 1;
2 7 3 4 4 1 1;
3 1 6 1 4 1 1;
3 2 6 2 3 1 1;
3 3 6 3 2 1 1;
3 4 5 3 2 1 1;
3 5 4 4 3 1 1;
3 6 3 5 3 1 1;
3 7 3 5 4 1 1;
4 1 6 2 4 1 1;
4 2 6 2 3 1 1;
4 3 5 3 3 1 1;
4 4 4 4 3 1 1;
4 5 3 5 3 1 1;
4 6 2 6 3 1 1;
4 7 2 6 4 1 1;
5 1 5 2 4 1 1;
5 2 5 3 4 1 1;
5 3 4 4 4 1 1;
5 4 3 5 4 1 1;
5 5 3 5 4 1 1;
5 6 2 6 4 1 1;
5 7 2 7 4 1 1;
6 1 5 4 7 1 1;
6 2 4 4 5 1 1;
6 3 3 5 5 1 1;
6 4 2 5 5 1 1;
6 5 2 6 5 1 1;
6 6 2 7 5 1 1;
6 7 1 7 7 1 1;
7 1 4 4 7 1 1;
7 2 4 4 6 1 1;
7 3 2 5 6 1 1;
7 4 2 6 6 1 1;
7 5 2 6 5 1 1;
7 6 1 7 5 1 1;
7 7 1 7 7 1 1];
a=addrule(a,rulelist); %向模糊推理系统(FIS)的语言变量添加规则
a=setfis(a,'DefuzzMethod','centroid'); %得到模糊系统的属性
writefis(a,'fuzzpid'); % 保存FIS到磁盘上
a=readfis('fuzzpid'); % 从磁盘装入一个FIS
%PID Controller
ts=0.001; %采样时间
num=[523500];
den=[1,87.35,10470,0];
sys=tf(num,den);
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]';
error_1=0;
e_1=0.0;
ec_1=0.0;
kp0=0.40;
kd0=1.0;
ki0=0.0;
for k=1:1:500
time(k)=k*ts;
rin(k)=1; %输入信号为阶跃信号
%Using fuzzy inference to tunning PID
k_pid=evalfis([e_1,ec_1],a); %给定输入,得到输出,即进行模糊推理
kp(k)=kp0+k_pid(1);
ki(k)=ki0+k_pid(2);
kd(k)=kd0+k_pid(3);
u(k)=kp(k)*x(1)+kd(k)*x(2)+ki(k)*x(3);
if k==300 %Adding disturbance (1.0v at time 0.3s)
u(k)=u(k)+1.0;
end
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-den(4)*y_3+num(1)*u(k)+num(2)*u_1+num(3)*u_2+num(4)*u_3;
error(k)=rin(k)-yout(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);
x(1)=error(k); % Calculating P
x(2)=error(k)-error_1; % Calculating D
x(3)=x(3)+error(k); % Calculating I
e_1=x(1);
ec_1=x(2);
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);
plot(time,kd,'r');
xlabel('time(s)');
ylabel('kd');
figure(7);
plotmf(a,'input',1);
figure(8);
plotmf(a,'input',2);
figure(9);
plotmf(a,'output',1);
figure(10);
plotmf(a,'output',2);
figure(11);
plotmf(a,'output',3);
plotfis(a);
fuzzy fuzzpid
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