GATE EC 2017 Set 2 — Question 20

MCQ+1 / -0.33EasyLag, Lead & Lag-LeadCompensators & ControllersControl SystemsEffect on Transient & Steady-State

Control Systems → Compensators & Controllers → Effect on Transient & Steady-State

Last updated 5 September 2026

Question

Which of the following statements is incorrect ? (A) Lead compensator is used to reduce the settling time. (B) Lag compensator is used to reduce the steady state error. (C) Lead compensator may increase the order of a system. (D) Lag compensator always stabilizes an unstable system.

Correct answer (D) Lag compensator always stabilizes an unstable system. Solution (A) Correct statement : A lead compensator increases the bandwidth and improves the transient response, thereby reducing the settling time. (B) Correct statement : A lag compensator increases the low-frequency gain of the system, which reduces the steady-state error. (C) Correct statement : Adding a compensator introduces an additional pole and zero, which increases the overall order of the closed-loop system. (D) Incorrect statement : A lag compensator adds a pole near the origin, which introduces phase lag and typically reduces the phase margin. This can make a system less stable and does not "always stabilize" an unstable system. Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.

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Correct answer (D) Lag compensator always stabilizes an unstable system. Solution (A) Correct statement : A lead compensator increases the bandwidth and improves the transient response, thereby reducing the settling time. (B) Correct statement : A lag compensator increases the low-frequency gain of the system, which reduces the steady-state error. (C) Correct statement : Adding a compensator introduces an additional pole and zero, which increases the overall order of the closed-loop system. (D) Incorrect statement : A lag compensator adds a pole near the origin, which introduces phase lag and typically reduces the phase margin. This can make a system less stable and does not "always stabilize" an unstable system.

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