GATE EE 2015 Set 2 — Question 35
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Control Systems → Frequency Response & Root Locus → Polar & Nyquist Plots
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Question
Nyquist plots of two functions and are shown in figure.
Nyquist plot of the product of and is
Nyquist plot of the product of and is
Correct answer
(B) [figure]
Solution
From the given Nyquist plots:
1. lies entirely on the negative imaginary axis: its phase is at every frequency, with as and as . This is an integrator, with .
2. lies entirely on the positive imaginary axis: its phase is at every frequency, with at and as . This is a differentiator, with .
The product isa positive real constant independent of frequency (phase ). Its Nyquist plot is therefore a single point on the positive real axis. The plots carry no gain scale, so taking unit gains () the point is at , which is the plot in option (B).Answer: (B)Continue learning with Success Tracker
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