Question

The impulse response of a parabola _________

(a) will have 3 poles in the s-plane

(b) will have 2 poles in the s-plane

(c) will have 4 poles in the s-plane

(d) will have no poles in the s-plane

The question was asked during an interview.

This key question is from Impulse Response topic in division Control System Applications of MATLAB

Answer 1

Correct option is (a) will have 3 poles in the s-plane

To elaborate: The transfer function of a system, whose impulse response is a parabola, will have three roots which will satisfy the characteristic equation. Hence, only option will have 3 poles in the s-plane is correct.