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The system with the open loop transfer function G(s) H(s) =1/s(s^^2+s+1) has the gain margin of :

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The system with the open loop transfer function G(s) H(s) =1/s(s^^2+s+1) has the gain margin of :

(a) -6 dB

(b) 0 dB

(c) 3.5 dB

(d) 6 dB

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This question is from Assessment of Relative Stability Using Nyquist Criterion topic in portion Stability in Frequency Domain of Control Systems

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Correct option is (b) 0 dB

To explain: Gain margin is calculated at phase cross over frequency where the phase is 180°.

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