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Lab 2

The document outlines a lab exercise for designing a compensator to achieve specific performance criteria, including a static velocity error constant of 4 sec−1, a phase margin of 50, and a gain margin of at least 10dB. It includes MATLAB code for plotting the unit-step and unit-ramp response curves, as well as a Nyquist plot to verify system stability using the Nyquist stability criterion. The code provided initializes the system and generates the necessary plots for analysis.

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Mohamad Ahmed
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10 views2 pages

Lab 2

The document outlines a lab exercise for designing a compensator to achieve specific performance criteria, including a static velocity error constant of 4 sec−1, a phase margin of 50, and a gain margin of at least 10dB. It includes MATLAB code for plotting the unit-step and unit-ramp response curves, as well as a Nyquist plot to verify system stability using the Nyquist stability criterion. The code provided initializes the system and generates the necessary plots for analysis.

Uploaded by

Mohamad Ahmed
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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LAB 2

Name : Abedullah Ahmed Saeed Abd-Elhameed Karam


Code : 20210135

Example-7.8.2
consider the system showin in figure, Desing a compensator such that the static velocity error constant is 4
sec− 1, phase margin is 50, and gain margin is 10dB or more. Plot unit-step and unit-ramp response curves of
the compensated system with MATLAB. Also, draw a Nyquist plot of the compensated system with
MATLAB. using the Nyquist stability criterion,verify that the system is stable.

Code:

1 clc,clear; Matlab
2 s = tf('s');
3 a = 0.1526;
4 l1 = 40* (s + 0.1)/s/(s^2+1);
5 Gc1=(a*s+1);
6 Go= Gc1*l1;
7 subplot(211)
8 bode(l1)
9 margin(l1)
10 grid on
11 subplot(212)
12 bode(Go)
13 margin(Go)
14 grid on

-1-
output:

-2-

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