Gate 2016 EE (Set 1) Q7

7.The phase cross-over frequency of the transfer function G(s)= 100/(s+1)^ 3 in rad/s is 

Solution:

Stability condition =>\angle G(j\omega)= -180^{0}

-180= -3tan^(-1)?(\omega )

\omega = tan\left ( 60 \right )= \sqrt{}3

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