GATE EC 2017 Set 1 — Question 20
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Control Systems → Compensators & Controllers → Lag, Lead & Lag-Lead
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Question
Which of the following can be the pole-zero configuration of a phase-lag controller (lag compensator)?
Correct answer
(A) One pole and one zero on the negative real axis; moving left from the origin, the pole is met first and then the zero (pole closer to the origin).
Solution
A phase-lag compensator has the formi.e. a single pole and a single zero on the negative real axis with the pole closer to the origin than the zero. Its phase is negative for all .
- (A) One pole and one zero, pole nearer the origin: this is exactly a lag compensator. Correct.
- (B) Zero nearer the origin than the pole: , positive phase, which is a lead compensator.
- (C) Pole, zero, zero, pole: the inner pair (pole nearer the origin) gives lag, but the outer pair (zero nearer the origin than the far pole) gives lead, so this is a lag-lead network, not a pure lag controller.
- (D) Zero, pole, pole, zero: also a two-section network (a lead section near the origin and a lag section further out), not a pure lag controller.
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