500 Q6. For the system G.(s) (s + 1)(s+ 10)2 (a) Sketch the approximate Bode diagram, clearly showing the asymptotes and cor- ner frequencies. Indicate in your diagram how the gain and phase margins can be obtained. (b) Explain how the bode plot changes when an additional gain of K = 10 is added. Sketch the Bode diagram of the modified system and comment on the stability of the closed loop in this case. (c) The open-loop system is augmented by a differential controller C(s) = (s + 10). (i) Sketch the Bode diagram of the controller and of the combined system C(s)G.(s). (ii) Comment on the stability of the closed loop in this case.

Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter24: Resistive-inductive-capacitive Parallel Circuits
Section: Chapter Questions
Problem 4RQ: A tank circuit contains a capacitor and an inductor that produce 30 of reactance at the resonant...
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500
Q6. For the system G.(s)
(s + 1)(s+ 10)²
(a) Sketch the approximate Bode diagram, clearly showing the asymptotes and cor-
ner frequencies. Indicate in your diagram how the gain and phase margins can
be obtained.
(b) Explain how the bode plot changes when an additional gain of K = 10 is added.
Sketch the Bode diagram of the modified system and comment on the stability
of the closed loop in this case.
(c) The open-loop system is augmented by a differential controller C(s) = (s + 10).
(i) Sketch the Bode diagram of the controller and of the combined system
C(s)G.(s).
(ii) Comment on the stability of the closed loop in this case.
Transcribed Image Text:500 Q6. For the system G.(s) (s + 1)(s+ 10)² (a) Sketch the approximate Bode diagram, clearly showing the asymptotes and cor- ner frequencies. Indicate in your diagram how the gain and phase margins can be obtained. (b) Explain how the bode plot changes when an additional gain of K = 10 is added. Sketch the Bode diagram of the modified system and comment on the stability of the closed loop in this case. (c) The open-loop system is augmented by a differential controller C(s) = (s + 10). (i) Sketch the Bode diagram of the controller and of the combined system C(s)G.(s). (ii) Comment on the stability of the closed loop in this case.
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