GATE EC 2015 Set 3 — Question 31
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Control Systems → Compensators & Controllers → Lag, Lead & Lag-Lead
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Question
The transfer function of a first-order controller is given aswhere , and are positive real numbers. The condition for this controller to act as a phase lead compensator is
Correct answer
(A) a < b
Solution
For a first-order controller to act as a phase lead compensator, the zero must be closer to the origin than the pole in the s-plane.
1.The zero is located at .
2.The pole is located at .
3.For a phase lead compensator, the magnitude of the zero must be less than the magnitude of the pole: .
Alternatively, considering the phase contribution:For phase lead, for all . This requires:Continue learning with Success Tracker
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