Consider the unity negative Bode Diagram feedback control system 20 40 60 K G() Y(s) -80 -100 -90 Assume that G(s) has the -180 Bode diagram shown. 270 102 101 100 Frequency (rad/s) 10 10 a) Sketch the Nyquist plot of G(s). (Sap) aseud Magnitude (dB)

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Consider the unity negative
Bode Diagram
feedback control system
-20
-40
-60
R(s)
K
G(s)
Y(s)
80
-100
Assume that G(s) has the
180
Bode diagram shown.
-270
10-2
101
100
Frequency (rad/s)
10
102
a) Sketch the Nyquist plot of G(s).
b} Let K = 1. Find the steady state error to unit step input.
c) Let K = 10. Find the phase margin and the gain margin
of the system.
%3D
Magnitude (dB)
(Bep) eseyd
Transcribed Image Text:Consider the unity negative Bode Diagram feedback control system -20 -40 -60 R(s) K G(s) Y(s) 80 -100 Assume that G(s) has the 180 Bode diagram shown. -270 10-2 101 100 Frequency (rad/s) 10 102 a) Sketch the Nyquist plot of G(s). b} Let K = 1. Find the steady state error to unit step input. c) Let K = 10. Find the phase margin and the gain margin of the system. %3D Magnitude (dB) (Bep) eseyd
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