Problem 2: For a unity feedback system where the plant is defined as K G(s) = s(s +3)(s +5) a. Sketch the Nyquist Counter path and Nyquist diagram. Clearly show the real and imag- inary axis intercept points and the low and high frequency asymptotes. b. Using the Nyquist criterion, obtain the range of K in which the system can be stable, unstable, and also find the value of gain K for marginal stability. c. Calculate the frequency of oscillation for marginal stability.

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Problem 2:
For a unity feedback system where the plant is defined as
K
G(s)
s(s +3)(s+5)
a. Sketch the Nyquist Counter path and Nyquist diagram. Clearly show the real and imag-
inary axis intercept points and the low and high frequency asymptotes.
b. Using the Nyquist criterion, obtain the range of K in which the system can be stable,
unstable, and also find the value of gain K for marginal stability.
c. Calculate the frequency of oscillation for marginal stability.
Transcribed Image Text:Problem 2: For a unity feedback system where the plant is defined as K G(s) s(s +3)(s+5) a. Sketch the Nyquist Counter path and Nyquist diagram. Clearly show the real and imag- inary axis intercept points and the low and high frequency asymptotes. b. Using the Nyquist criterion, obtain the range of K in which the system can be stable, unstable, and also find the value of gain K for marginal stability. c. Calculate the frequency of oscillation for marginal stability.
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