📄 main.m
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% Author: Housam Binous
% Dynamic and control of a tank using the genetic algorithm toolbox
% National Institute of Applied Sciences and Technology, Tunis, TUNISIA
% Email: binoushousam@yahoo.com
close all
close all hidden
clear
clc
global t1 h sys X par2
%obtaining step response and transfer function of the tank
[t1 h]=ode45(@tank,[0:1:500],0);
par=fminsearch(@obj,[3,0.4]);
figure(1)
plot(t1,h,'r')
hold on
num=[1];
den=[par(1),par(2)];
disp('transfer function of tank')
sys=tf(num,den)
[y t2]=step(sys,0:1:500);
plot(t2,y,'b')
% using genetic algorithm to obtain the real PID controller
% parameters (gain, integral and derivative time constants)
binousga2;
disp('PID controller parameters:')
par2=X
% tranfer function of PID controller
num=[par2(2) 1];
den=[par2(2) 0];
pid1=tf(num,den);
num=[par2(3) 1];
den=[0.1*par2(3) 1];
pid2=tf(num,den);
disp('transfer function of PID controller')
pid=par2(1)*pid1*pid2
% plotting results of feedback loop
% tank's height set point is equal to 2
sys_series=series(pid,sys);
sys_controlled=feedback(sys_series,1);
u=2*ones(501,1);
[y1 t3]=lsim(sys_controlled,u,0:0.01:5);
figure(2)
plot(t3,y1,'g')
% running simulink to check result
sim('binous')
hold on
plot(t4,y4,'r')
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