Note: The plots using Matlab should include all important aspects related to the analysis. Specifically, the plots should show: 1. The uncompensated system. 2. The response of the uncompensated system. 3. The compensated system. 4. The response of the compensated system. These elements ensure a comprehensive representation of both the systems and their behaviors before and after compensation. Figure 2 shows the simplified model of a system with a unity feedback open-loop transfer K function of G(s). s(s+5)(s+20) R(s) + G(s) C(s) Figure 2: The simplified model Use MATLAB sisotool to perform the following tasks by showing all related considerations and figures a) b) c) Plot the Bode plot if the system operates with K₁ = 10. Determine the gain margin (GM), phase margin (PM), gain cross over frequency (@gc.) and phase cross over frequency (p). Design a lead compensator to reduce the percent overshoot (%OS) to 10%, while keeping the same steady-state error.
Note: The plots using Matlab should include all important aspects related to the analysis. Specifically, the plots should show: 1. The uncompensated system. 2. The response of the uncompensated system. 3. The compensated system. 4. The response of the compensated system. These elements ensure a comprehensive representation of both the systems and their behaviors before and after compensation. Figure 2 shows the simplified model of a system with a unity feedback open-loop transfer K function of G(s). s(s+5)(s+20) R(s) + G(s) C(s) Figure 2: The simplified model Use MATLAB sisotool to perform the following tasks by showing all related considerations and figures a) b) c) Plot the Bode plot if the system operates with K₁ = 10. Determine the gain margin (GM), phase margin (PM), gain cross over frequency (@gc.) and phase cross over frequency (p). Design a lead compensator to reduce the percent overshoot (%OS) to 10%, while keeping the same steady-state error.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Question
Transcribed Image Text:Note:
The plots using Matlab should include all important aspects related to the analysis. Specifically,
the plots should show:
1. The uncompensated system.
2. The response of the uncompensated system.
3. The compensated system.
4. The response of the compensated system.
These elements ensure a comprehensive representation of both the systems and their behaviors
before and after compensation.
Transcribed Image Text:Figure 2 shows the simplified model of a system with a unity feedback open-loop transfer
K
function of G(s).
s(s+5)(s+20)
R(s)
+
G(s)
C(s)
Figure 2: The simplified model
Use MATLAB sisotool to perform the following tasks by showing all related considerations and
figures
a)
b)
c)
Plot the Bode plot if the system operates with K₁ = 10.
Determine the gain margin (GM), phase margin (PM), gain cross over frequency (@gc.)
and phase cross over frequency (p).
Design a lead compensator to reduce the percent overshoot (%OS) to 10%, while keeping
the same steady-state error.
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