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GATE 2025 BM – Question 20

Measurements and Control Systems · Control System Transfer Functions · 1 mark · Multiple choice

Which statement about the integral component of a PID controller for a second-order linear system is correct?

  1. It decreases residual steady-state error
  2. It integrates only the output
  3. It increases residual steady-state error
  4. It integrates only the input

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Correct answer: (A) It decreases residual steady-state error

Explanation

Integral action accumulates the tracking error, driving a persistent nonzero error into a growing corrective control effort. In the usual stable closed-loop design this reduces or eliminates steady-state residual error. It integrates the error, rather than only input or output. Thus A.

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