Use MATLAB to find the resonant peak, (M_{text {peak }}), resonant frequency (omega_{r}), and bandwidth (B W)

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Use MATLAB to find the resonant peak, \(M_{\text {peak }}\), resonant frequency \(\omega_{r}\), and bandwidth \(B W\) of the following unity feedback control systems. Make sure that the systems are stable.

(a) \(\quad G(s)=\frac{5}{s(1+0.5 s)(1+0.1 s)}\)

(b) \(G(s)=\frac{10(s+1)}{s(s+2)(s+10)}\)

(c) \(G(s)=\frac{0.5}{s\left(s^{2}+s+1ight)}\)

(d) \(G(s)=\frac{100 e^{-s}}{s\left(s^{2}+5 s+5ight)}\)

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