What happens if derivative action is applied to a noisy signal?

Question:

What happens if derivative action is applied to a noisy signal?

Options:

A) Noise amplifies
B) Stable Output
C) Noise eliminated
D) Reduces Offset


View Answer

:white_check_mark: Correct Answer: A) Noise amplifies


:magnifying_glass_tilted_right: Detailed Explanation

Derivative action responds to the rate of change of error:

Noise contains rapid, high-frequency fluctuations. Since derivative reacts strongly to rapid changes, it amplifies noise, causing:

  • Erratic controller output
  • Unstable actuator movement
  • Excessive valve wear

This is why derivative filtering is commonly used in industrial PID controllers.


:repeat_button: Practical Insight

If you observe:

  • Output jitter
  • Fast oscillations
  • Valve chattering

Check the derivative setting or apply filtering.


:cross_mark: Why Other Options Are Incorrect

B) Stable Output → Derivative on noisy signals reduces stability.
C) Noise eliminated → Derivative increases sensitivity to noise, it does not remove it.
D) Reduces Offset → Offset is removed by integral action, not derivative.

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