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5. Consider a standard unity gain feedback configuration with loop gain L(8) = KL, (8) where L(s) =: s+50 S+ 50 (s- 1)(s* +8s +80) s +7s? + 72s - 80 Generate a Nyquist plot (submit with the pdf document) and use the Nyquist plot to approximate the ranges of gains K > 0 for which the close loop system is stable/unstable and indicate the number of poles it has in each range. b. Calculate the characteristic polynomial of the closed loop transfer function corresponding to loop gain L(s) and use the Routh-Ilurwitz test to the range of gains K> 0 for which the system is stable. a.

5. Consider a standard unity gain feedback configuration with loop gain L(8) = KL, (8) where L(s) =: s+50 S+ 50 (s- 1)(s* +8s +80) s +7s? + 72s - 80 Generate a Nyquist plot (submit with the pdf document) and use the Nyquist plot to approximate the ranges of gains K > 0 for which the close loop system is stable/unstable and indicate the number of poles it has in each range. b. Calculate the characteristic polynomial of the closed loop transfer function corresponding to loop gain L(s) and use the Routh-Ilurwitz test to the range of gains K> 0 for which the system is stable. a.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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5. Consider a standard unity gain feedback configuration with loop gain L(8) = KL, (8) where L(s) =: s+50 S+ 50 (s- 1)(s* +8s +80) s +7s? + 72s - 80 Generate a Nyquist plot (submit with the pdf document) and use the Nyquist plot to approximate the ranges of gains K > 0 for which the close loop system is stable/unstable and indicate the number of poles it has in each range. b. Calculate the characteristic polynomial of the closed loop transfer function corresponding to loop gain L(s) and use the Routh-Ilurwitz test to the range of gains K> 0 for which the system is stable. a.
Transcribed Image Text:5. Consider a standard unity gain feedback configuration with loop gain L(8) = KL, (8) where L(s) =: s+50 S+ 50 (s- 1)(s* +8s +80) s +7s? + 72s - 80 Generate a Nyquist plot (submit with the pdf document) and use the Nyquist plot to approximate the ranges of gains K > 0 for which the close loop system is stable/unstable and indicate the number of poles it has in each range. b. Calculate the characteristic polynomial of the closed loop transfer function corresponding to loop gain L(s) and use the Routh-Ilurwitz test to the range of gains K> 0 for which the system is stable. a.
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