Physics · Control Systems
A proportional-integral-derivative (PID) controller is employed to stably control a plant with transfer function P(s) = 1(s + 1)(s + 2). Now, if the proportional gain is increased by a factor of 2, the integral gain is increased by a factor of 3, and the derivative gain is left unchanged, given that the closed-loop system continues to remain stable, the steady-state error in tracking a ramp reference signal:
- 1Decreases by a factor of 5
- 2Decreases by a factor of 3✓
- 3Decreases by a factor of 2
- 4Remains unchanged
Correct answer
Decreases by a factor of 3
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