双容水箱液位模糊PID控制MATLAB仿真

%自适应模糊PID控制 clear all; close all; a=newfis('fuzzpid'); a=addvar(a,'input','e',[-3,3]); %输入误差参数e,及区域模糊化 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]); %输入误差变化率参数ec,及区域模糊化 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]); %输出PID参数 kp,及区域模糊化 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]); %输出PID参数 ki,及区域模糊化 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]); a=addvar(a,'output','kd',[-3,3]); %输出PID参数 kd ,及区域模糊化 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; %输入误差e,输入误差变化率ec同输出kp,ki,kd之间的模糊规则设定 1 2 7 1 3 1 1; 1 3 6 2 1 1 1; 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); %先输入模糊规则，然后调用addrule把模糊规则添加到指定的模糊推理器a a=setfis(a,'DefuzzMethod','centroid');%解模糊方法 writefis(a,'fuzzpid');%保存模糊推理器a，到文件fuzypid后缀为.FIS a=readfis('fuzzpid'); %PID Controller ts=0.001; sys=tf(2,[100,25,1]); dsys=c2d(sys,ts,'tustin');%将连续的时间模型转换成离散的时间模型，采样时间是ts [num,den]=tfdata(dsys,'v');%获得离散还建模型的分子分母矩阵 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=1:1:50000 time(k)=k*ts; rin(k)=1; %Using fuzzy inference to tunning PID k_pid=evalfis([e_1,ec_1],a);%进行模糊推理，送一组输入，经模糊推理后，得到一组输出。 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 %限制控制量输出幅值 u(k)=10; end if u(k)<=-10 u(k)=-10; end yout(k)=-den(2)*y_1-den(3)*y_2+num(1)*u(k)+num(2)*u_1+num(3)*u_2;%出G(s)对应的Z变化后的离散差分表达式 error(k)=rin(k)-yout(k); %%%%%%%%%%%%%%回归方程式s%%%%%%%%%%%%%%% u_2=u_1; u_1=u(k); 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 %%%%%%%%%%%%%%各类参数曲线的输出表达式%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 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