Question

How does the pole of the transfer function change?

(a) Goes nearer to the origin for the green curve than the red curve

(b) Goes further from the origin for the red curve than the blue curve

(c) Goes nearer to the origin for the blue curve than the red curve

(d) Goes nearer to the origin for the red curve than the blue curve

This question was posed to me during an online exam.

My question comes from Impulse Response in portion Control System Applications of MATLAB

Answer 1

Right answer is (d) Goes nearer to the origin for the red curve than the blue curve

For explanation I would say: As the impulse response suggests that each response is sinusoidal, the frequency of the sinusoid will be the value of the pole in the s-plane. If the frequency increases, the pole goes further from the curve- the output frequency increases. Hence, the plausible option is d since the frequency increases or the pole nearer to the origin from the green to the red and away form the origin from the origin from red to green.