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Control SystemsTime Response

For a standard underdamped second-order system, the peak time Tp is?

  • Aπ/ωn
  • Bπ/[ωn√(1-ζ²)]
  • C4/(ζωn)
  • D1/(ζωn)
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Correct Answer: B. π/[ωn√(1-ζ²)]
Explanation: For 0<ζ<1, the damped natural frequency is ωd=ωn√(1-ζ²), and peak time Tp=π/ωd.
Reference: Standard control systems: time response
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