GATE EC 2023 Set 1 — Question 25
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Control Systems → Stability Analysis → Gain & Phase Margin
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Question
The open loop transfer function of a unity negative feedback system iswhere , and are positive constants. The phase cross-over frequency, in rad/s, is
Correct answer
(A) 1√(T₁ T₂)
Solution
The phase cross-over frequency is the frequency at which the phase of the open-loop transfer function is .Given , substituting :The phase angle is:At , :Taking tangent on both sides:For the expression to be infinite, the denominator must be zero:Thus, the correct option is (A).
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