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. Quent The forward transfer function of a unity feedback system in Figure 1 is given as: R(s) K G(s) = s(s+20)(s+40) G(s) C(s) Figure 1: A unity feedback system Use MATLAB sisotool to perform the following tasks by showing all related considerations and figures: (a) (b) Plot the Root Locus of the system Determine the uncompensated system's dominant poles, gain, and settling time, T, (at 2 % criterion) when it is operating at 20% overshoot (%OS). (c) (d) Design a lead compensator to decrease the achieve a transient response with a reduced settling time, T's(new) by a factor 2 without affecting the percent overshoot. With the obtained compensator zero (2.) and pole (P.), determine the appropriate compensated gain, Ke-
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. Quent The forward transfer function of a unity feedback system in Figure 1 is given as: R(s) K G(s) = s(s+20)(s+40) G(s) C(s) Figure 1: A unity feedback system Use MATLAB sisotool to perform the following tasks by showing all related considerations and figures: (a) (b) Plot the Root Locus of the system Determine the uncompensated system's dominant poles, gain, and settling time, T, (at 2 % criterion) when it is operating at 20% overshoot (%OS). (c) (d) Design a lead compensator to decrease the achieve a transient response with a reduced settling time, T's(new) by a factor 2 without affecting the percent overshoot. With the obtained compensator zero (2.) and pole (P.), determine the appropriate compensated gain, Ke-
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...
Related questions
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:Quent
The forward transfer function of a unity feedback system in Figure 1 is given as:
R(s)
K
G(s) =
s(s+20)(s+40)
G(s)
C(s)
Figure 1: A unity feedback system
Use MATLAB sisotool to perform the following tasks by showing all related considerations and
figures:
(a)
(b)
Plot the Root Locus of the system
Determine the uncompensated system's dominant poles, gain, and settling time, T, (at 2
% criterion) when it is operating at 20% overshoot (%OS).
(c)
(d)
Design a lead compensator to decrease the achieve a transient response with a reduced
settling time, T's(new) by a factor 2 without affecting the percent overshoot.
With the obtained compensator zero (2.) and pole (P.), determine the appropriate
compensated gain, Ke-
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