What is the difference between integral and derivative control? A. derivative control does not eliminate offset error B. integral control has slower response to an error signal. C. derivative control responds to a change in the rate of change in the error signal D. All of the above E. None of the above

The correct answer is D.

Integral control responds to the accumulated error over time, while derivative control responds to the rate of change of the error signal. This means that integral control can eliminate offset error, while derivative control can help to improve the system’s response to disturbances.

Option A is incorrect because integral control can eliminate offset error. Option B is incorrect because integral control can have a faster response to an error signal than derivative control. Option C is incorrect because derivative control responds to the rate of change of the error signal, not the error signal itself. Option E is incorrect because at least one of the options is correct.