Vertical lines on the S-plane are the lines of constant ______________

a. Peak time T_p

b. Settling time T_s

c. Percent Overshoot

c. Rise time

Ans is b) Settling time Ts

Solution: As Ts=4/σd where σd is real part of a complex pole. Now as shown in the above Fig. C1 below, on S-plane vertical lines represents constant real part of the imaginary poles and settling time in inversely proportional to it. So as σd is constant therefore settling time will also be constant. So answer is constant settling time.

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