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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.

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.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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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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