GATE EC 2014 Set 4 — Question 31
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Control Systems → Time-Domain Analysis → First & Second-Order Response
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Question
For the second order closed-loop system shown in the figure, the natural frequency (in rad/s) is

Correct answer
(C) 2
Solution
The open-loop transfer function is . For a unity negative feedback system, the closed-loop transfer function is given by:
The standard form of a second-order system transfer function is:
Comparing the denominators:
.
The standard form of a second-order system transfer function is:
Comparing the denominators:
.
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