Question

Assertion (A): A derivative controller produces a control action for constant error only.

Reason (R): The PD controller increases the damping and reduces the peak overshoot.

(a) Both assertion and reason are true and R is correct explanation of A

(b) Both A and R true but R is not correct explanation of A

(c) A is true but R is false

(d) A is False but R is true

This question was addressed to me by my college director while I was bunking the class.

Question is from Effect of Adding a Zero to a System topic in division Time Response Analysis, Design Specifications and Performance Indices of Control Systems

Answer 1

Correct option is (d) A is False but R is true

To elaborate: The integral control action produces a control action for error constant not derivative controller. A derivative controller improves the transient state of the control system apart from increasing the bandwidth, overshoot and rise time.