(7) The Nyquist plot of the open-loop frequency response of a unity feedback control system is shown below. Please answer the following two questions: (a) If the open-loop transfer function has one pole and no zeros in the right half s-plane, is the closed-loop system stable? (b) If the open-loop transfer function has one zero and no poles in the right half s-plane, is the closed-loop system stable? (a): @=∞ (b): @=0 Re

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7&8

(7) The Nyquist plot of the open-loop frequency response of a unity feedback control system is
shown below. Please answer the following two questions:
(a) If the open-loop transfer function has one pole and no zeros in the right half s-plane,
is the closed-loop system stable?
(b) If the open-loop transfer function has one zero and no poles in the right half s-plane,
is the closed-loop system stable?
@=∞0
-1
(a):
(b):
Re
@=0
(8) Manually draw a Nyquist plot for a unity feedback control system with the open-loop
transfer function
G(s) =
K(1-s)
(s+1)
Using the Nyquist stability criterion, determine the stability of the closed-loop system. (Note:
you need to show how you get your Nyquist plot by manually do the mapping. Using the
Matlab/Control System toolbox to find your solution will not be accepted)
Nyquist plot
7
j Im (G)
Re(G)
∞
Transcribed Image Text:(7) The Nyquist plot of the open-loop frequency response of a unity feedback control system is shown below. Please answer the following two questions: (a) If the open-loop transfer function has one pole and no zeros in the right half s-plane, is the closed-loop system stable? (b) If the open-loop transfer function has one zero and no poles in the right half s-plane, is the closed-loop system stable? @=∞0 -1 (a): (b): Re @=0 (8) Manually draw a Nyquist plot for a unity feedback control system with the open-loop transfer function G(s) = K(1-s) (s+1) Using the Nyquist stability criterion, determine the stability of the closed-loop system. (Note: you need to show how you get your Nyquist plot by manually do the mapping. Using the Matlab/Control System toolbox to find your solution will not be accepted) Nyquist plot 7 j Im (G) Re(G) ∞
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