Considering the frequency response of the standard second-order closed-loop system, with the transfer function

\(T\left( s \right) = \frac{{\omega _n^2}}{{{s^2} + 2\xi {\omega _n}s + \omega _n^2}}\)

The closed-loop system has the following performance characteristics.

ξ = 0.2, ts (2% criteria) = 0.5 s

Which of the following is/are true?

1
Natural frequency is 40 rad/sec
2
Resonant peak frequency is 40 rad/sec
3
Magnitude of resonant peak is 2.55
4
settling time for 5% criteria is 0.375 s

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