Consider the following block diagram: R(s) K 1 C(s) s2 + 5s + 3 1 s+1 a) Draw the root locus and the closed loop step response for K = 10. Comment on the stability of the system. b) Draw the Bode diagram for K =1 and determine the gain and phase margins. Comment on the system's stability. c) On the Bode diagram, find the appropriate gain margin required for achieving a percent overshoot of 10% and a settling time of 17 seconds.

Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter24: Resistive-inductive-capacitive Parallel Circuits
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give handwritten derivaton of part c

6.
FINAL EXERCISE
Consider the following block diagram:
R(s)
K
1
C(s)
S
s2 + 5s + 3
1
s+1
a) Draw the root locus and the closed loop step response for K = 10. Comment on the
stability of the system.
b) Draw the Bode diagram for K =1 and determine the gain and phase margins.
Comment on the system's stability.
c) On the Bode diagram, find the appropriate gain margin required for achieving a
percent overshoot of 10% and a settling time of 17 seconds.
Transcribed Image Text:6. FINAL EXERCISE Consider the following block diagram: R(s) K 1 C(s) S s2 + 5s + 3 1 s+1 a) Draw the root locus and the closed loop step response for K = 10. Comment on the stability of the system. b) Draw the Bode diagram for K =1 and determine the gain and phase margins. Comment on the system's stability. c) On the Bode diagram, find the appropriate gain margin required for achieving a percent overshoot of 10% and a settling time of 17 seconds.
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