Question: 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

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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