EC > GATE 2022 > Time Response
Two linear time-invariant systems with transfer functions
G1(s) = 10/(s2 + s + 1) and G2(s) = 10/(s2 + s√10 + 10)
have unit step responses y1(t) and y2(t), respectively. Which of the following statements is/are true?
A
y1(t) and y2(t) have the same percentage peak overshoot.
B
y1(t) and y2(t) have the same steady-state value.
C
y1(t) and y2(t) have the same damped frequency of oscillation.
D
y1(t) and y2(t) have the same 2% settling time.

Correct : b

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system transfer function GATE EC 2022 unit step response percentage peak overshoot steady state value damped oscillation frequency settling time EC GATE EC 2022 Q50 system response analysis

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