The forward-path transfer function of a unity feedback control system is [G(s)=frac{K}{s(s+6.54)}] Analytically, find the resonant peak

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The forward-path transfer function of a unity feedback control system is

\[G(s)=\frac{K}{s(s+6.54)}\]

Analytically, find the resonant peak \(M_{\text {peak }}\), resonant frequency \(\omega_{r}\), and bandwidth \(B W\) of the closedloop system for the following values of \(K\) :

(a) \(K=5\)

(b) \(K=21.39\)

(c) \(K=100\).

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