500 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.
500 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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:500
6. 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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