一实验要求:
学习PID控制器的基本原理,掌握PID参数的物理调节规律,通过仿真验证PID调节过程。选择例题中的任意两个实验进行仿真研究,改变参数后观察系统的动态性能和稳态性能的变化,确认是否和理论分析一致。二实验内容
实验一:选择chap-9.m作为pid调节。
1代码:%PID Controller with changing integration rate
clearall;
closeall;
%Big time delay Plant
ts=20;
sys=tf([1],[60,1],'inputdelay',80);
dsys=c2d(sys,ts,'zoh');
[num,den]=tfdata(dsys,'v');
u_1=0;u_2=0;u_3=0;u_4=0;u_5=0;
y_1=0;y_2=0;y_3=0;
error_1=0;error_2=0;
ei=0;
fork=1:1:200
time(k)=k*ts;
rin(k)=1.0;%Step Signal
%Linear model
yout(k)=-den(2)*y_1+num(2)*u_5;
error(k)=rin(k)-yout(k);
kp=0.45;kd=12;ki=0.0048;
A=0.4;B=0.6;
%T type integration
ei=ei+(error(k)+error_1)/2*ts;
M=1;
ifM==1%Changing integration rate
ifabs(error(k))<=B
f(k)=1;
elseifabs(error(k))>B&abs(error(k))<=A+B
f(k)=(A-abs(error(k))+B)/A;
else
f(k)=0;
end
elseifM==2%Not changing integration rate
f(k)=1;
end
u(k)=kp*error(k)+kd*(error(k)-error_1)/ts+ki*f(k)*ei;
ifu(k)>=10
u(k)=10;
end
ifu(k)<=-10
u(k)=-10;
end
%Return of PID parameters
u_5=u_4;u_4=u_3;u_3=u_2;u_2=u_1;u_1=u(k);
y_3=y_2;y_2=y_1;y_1=yout(k);
error_2=error_1;
error_1=error(k);
end
figure(1);
plot(time,rin,'b',time,yout,'r');
xlabel('time(s)');ylabel('rin,yout');
figure(2);
plot(time,f,'r');</