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GATE 2014 EC (EC4) – Question 31

Control Systems · Transient and Steady-State Analysis of LTI Systems · 1 mark · Multiple choice

Find the natural frequency (rad/s) of the second-order closed-loop system shown.

Diagram for GATE 2014 EC (EC4) question 31
  1. 16
  2. 4
  3. 2
  4. 1

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Correct answer: (C) 2

Explanation

Unity negative feedback gives T(s)=4/[s(s+4)+4]=4/(s²+4s+4). Compare its denominator with s²+2ζωns+ωn². Since ωn²=4, **ωn=2rad/s,C**; the damping ratio is1.