GATE EE 2023 Set 1 — Question 13
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Control Systems → Frequency Response & Root Locus → Polar & Nyquist Plots
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Question
In the Nyquist plot of the open-loop transfer function corresponding to the feedback loop shown in the figure, the infinite semi-circular arc of the Nyquist contour in s-plane is mapped into a point at
Correct answer
(C) G(s)H(s) = 3
Solution
The infinite semi-circular arc of the Nyquist contour corresponds to the limit where the magnitude of tends to infinity (). To find where this arc is mapped in the plane, we evaluate the limit of the open-loop transfer function as :Dividing the numerator and denominator by :Therefore, the entire infinite semi-circular arc in the -plane is mapped to a single point in the Nyquist plot.
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