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PI controller Using Matlab |
Proportional Integral (PI) Control
A variety of Proportional
Integral Derivative (PID) control is to utilize just the corresponding and
essential terms as PI control. The PI regulator is the most well-known variety,
significantly more than full PID regulators.
The
Proportional-Integral (PI) calculation processes and communicates a regulator
yield signal each sample time, T, to the last control component (e.g., valve,
variable speed siphon).
PI
regulators have two tuning boundaries to alter. While this makes them more
testing to tune than a P-Only regulator, they are not as unpredictable as the
three boundary PID regulator.
Vital
activity empowers PI regulators to dispense with counterbalance, a significant
shortcoming of a P-just regulator. In this way, PI regulators give an
equalization of multifaceted nature and capacity that makes them by a long shot
the most broadly utilized calculation in measure control applications.
For givern system the closed loop transfer function with a PI control is
KP = Proportional gain, KI = Integral gain
Plant:
A system to be controlled.
Controller:
Provides excitation for the plant; Designed to control the overall system behavior.
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Matlab Code / Program-
The design of PID controller using matlab follow some steps
Ø open the editor window in matlab (shortcut key CTRL+N)
Ø write down the following matlab code in editor window
clc ;
clear all ;
close all ;
num = 1;
den = [1 10 20];
plant=tf(num,den)
figure
step(plant)
grid
title('Step responce of Plant')
% % PI controller
kp = 280 ;
ki = 50 ;
t = 0:0.01:2 ;
cont = tf([kp ki],[1 0]);
sys = feedback(cont*plant,1)
figure,
step(sys,t)
grid
title ( ' PI Controller ' )
After complete write code then save
the code and run
for run press F5 key and output
show in command window
Result-
plant =
1
---------------
s^2 + 10 s + 20
Continuous-time transfer function.
sys =
280 s + 50
-------------------------
s^3 + 10 s^2 + 300 s + 50
Continuous-time transfer function.
Step response of plant |
Step response of PI Controller |
For more matlab code and program
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