GATE EE 2019 Set 1 — Question 24
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Control Systems → Frequency Response & Root Locus → Polar & Nyquist Plots
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Question
The open loop transfer function of a unity feedback system is given byIn plane, the Nyquist plot of passes through the negative real axis at the point
Correct answer
(A) (-0.5, j0)
Solution
The frequency response is .
The phase angle is .
To cross the negative real axis, the phase must be (or radians).The magnitude at this frequency is:Since the phase is , the point on the negative real axis is .
The phase angle is .
To cross the negative real axis, the phase must be (or radians).The magnitude at this frequency is:Since the phase is , the point on the negative real axis is .
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