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Control SystemsTime Response

A standard second-order system has ζ=0.6 and ωn=5 rad/s. Its damped natural frequency ωd is?

  • A2 rad/s
  • B3 rad/s
  • C4 rad/s
  • D5 rad/s
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Correct Answer: C. 4 rad/s
Explanation: ωd=ωn√(1-ζ²)=5√(1-0.36)=5×0.8=4 rad/s.
Reference: Standard control systems: time response
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