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The polar plot of a transfer function passes through the critical point (-1,0).Gain margin is

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The polar plot of a transfer function passes through the critical point (-1,0).Gain margin is

(a) zero

(b) -1dB

(c) 1dB

(d) Infinity

I had been asked this question in an online interview.

Question is taken from Stability Analysis by Describing Functions in chapter Nonlinear Systems of Control Systems

1 Answer

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Right answer is (a) zero

The explanation is: Gain margin is the point where the at phase cross over frequency gain of the system i 1 dB and  of a polar plot passing through the critical point is zero.

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