Question

Compensator Plant 100 R(s) sta Y(s) For the unity feedback system shown in Fig. 3.55, specify the gain and pole location of the compensator so that the overall closed-loop response to a unit- step input has an overshoot of no more than 30%, and a 2% settling time of no more than 0.2 sec. Verify your design using Matlab. 3.27

Answer 1

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matlab code:

clc;

clear all;

close all;

s=tf('s');

g=100/(s+25); % plant transfer function

gc=27.4774/(s+15);% compensator transfer function

step(feedback(g*gc,1));grid % step response

Step Response Systemc untitied naitied Peak amplnude: 1.4 Overshoor 30 System: natiedi Seming ime (seconds):0.195 06 0.4 02 005 0.1 02 025 03 Time (seconds)

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