For a second-order system with the transfer function T(s) = 20 s 2 + 8s + 20 , what is the nature of the system response, damping ratio (ζ), and natural frequency (ω n )?

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Physics · Control Systems

For a second-order system with the transfer function T(s) = 20 s 2 + 8s + 20 , what is the nature of the system response, damping ratio (ζ), and natural frequency (ω n )?

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Underdamped with ζ = 0.894 and ω n = 4.472 rad/s

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Answer 1

Underdamped with ζ = 0.894 and ω n = 4.472 rad/s

Answer 2

Overdamped with ζ = 1.894 and ω n = 20 rad/s

Answer 3

Underdamped with ζ = 1.894 and ω n = 4.472 rad/s

Answer 4

Overdamped with ζ = 0.894 and ω n = 20 rad/s

For a second-order system with the transfer function T(s) = 20 s 2 + 8s + 20 , what is the nature of the system response, damping ratio (ζ), and natural frequency (ω n )?

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For a second-order system with the transfer function T(s) = 20 s 2 + 8s + 20 , what is the nature of the system response, damping ratio (&zeta;), and natural frequency (&omega; n )?

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For a second-order system with the transfer function T(s) = 20 s 2 + 8s + 20 , what is the nature of the system response, damping ratio (ζ), and natural frequency (ω n )?