For the PD compensated system shown in Fig. P8.1, compute (K) and (mathbf{b}) such that the system

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For the PD compensated system shown in Fig. P8.1, compute \(K\) and \(\mathbf{b}\) such that the system exhibits peak overshoot of \(2.5 \%\) and settling time of 0.5 seconds.

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