Reason (R): Large resonance peak in frequency response corresponds to a large overshoot in transient response.
A. Both A and R are true and R is the correct explanation of A
B. Both A and R are true and R is not the correct explanation of A
C. A is true but R is false
D. A is false but R is true
I got this question during an internship interview.
The origin of the question is Correlation between Time and Frequency Response in portion Frequency Response Analysis of Control Systems
The explanation: For G<1/√2 frequency parameters ex Mr resonant peak and time response parameters eg. Mp peak overshoot are well correlated. For G>1/√2 the resonant peak Mr does not exist and the correlation breaks down. This is not a serious problem as for this range of G, the step response oscillations are well-damped and Mp is hardly perceptible.