1) Consider the system described by the transfer function: (s² + 16s + 15) G(s)H(s) = 13 1. (s2 + 5s+ (s² + 360s + 28800) a) Sketch the Nyquist diagram. b) Consider the system is controlled with a feedback P controller with gain K>0. By using the Nyquist criterion, compute the number of unstable poles of the closed loop system as a function of K, and determine for which values of K the closed system is stable.

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1) Consider the system described by the transfer function:
(s2 + 16s + 15)
G(s)H(s):
13
1
(s2 +
55
s+) (s² + 360s + 28800)
a) Sketch the Nyquist diagram.
b) Consider the system is controlled with a feedback P controller with gain K>0. By using
the Nyquist criterion, compute the number of unstable poles of the closed loop system
as a function of K, and determine for which values of K the closed system is stable.
Transcribed Image Text:1) Consider the system described by the transfer function: (s2 + 16s + 15) G(s)H(s): 13 1 (s2 + 55 s+) (s² + 360s + 28800) a) Sketch the Nyquist diagram. b) Consider the system is controlled with a feedback P controller with gain K>0. By using the Nyquist criterion, compute the number of unstable poles of the closed loop system as a function of K, and determine for which values of K the closed system is stable.
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