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.
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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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