Design PID controller Using MAtlab

PID Controller Using Matlab

As the name recommends, this article is going to give an exact thought regarding the structure and working of PID regulator using matlab.

Anyway going into subtleties, let us get a presentation about PID regulators by using matlab programming in editor window. 

PID regulators are found in a wide scope of uses for mechanical cycle control.

Around 95% of the shut circle activities of modern robotization, industries, automation industries, electrical controlling etc as use PID regulators.

PID represents Proportional-Integral-Derivative. These three regulators are joined so that it creates a control signal.

 

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Plant:

            A system to be controlled.

Controller: 

        Provides excitation for the plant; Designed to control the overall system behavior.

The three-term controller: 

    The transfer function of the PID controller looks like the following-

KP = Proportional gain , KI = Integral gain ,  KD = Derivative gain

The closed loop transfer function of the given system with a PID controller is-

The gain Kp = 350 and Kd = 50 provided the desired response

Simple block diagram of PID controller and the simple equation of PID controller are

Matlab Code Program-

the design of PID controller using matlab follow some steps

>> open the editor window in matlab (shortcut key ctrl+N)

>> write down thw following matlab code in editor window 

clc , 

clear , 

close all ;

num = 1 ;

den = [ 1 10 20] ;

plant = tf(num,den)

figure ,

step(plant)

grid ,

title('plant')

kp = 300 ;

% % PID controller

ki1 = 300 ;

kd1 = 50 ;

cont4 = tf([kd1 kp ki1],[1 0])

sys4 = feedback(cont4*plant,1)

figure ,

step(sys4,1)

grid ,

title(' PID Controller ')

after complete write code save the code and run for run press F5 key and output show in command window

Output- 

plant =

         1

  ---------------

  s^2 + 10 s + 20

Continuous-time transfer function.

cont4 =

  50 s^2 + 300 s + 300

  --------------------

           s

Continuous-time transfer function.

sys4 =

     50 s^2 + 300 s + 300

  --------------------------

  s^3 + 60 s^2 + 320 s + 300

Continuous-time transfer function.

step response of plant

step response of PID controller

Related Post – 

Design PIcontroller Using Matlab

For more matlab code and program

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