Design a lead compensator while using root locus for the system of drill problem D8.5, to meet

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Design a lead compensator while using root locus for the system of drill problem D8.5, to meet the design specifications as follows:

(i) Peak overshoot \(\leq 30 \%\)

(ii) Settling time \(t_{\mathrm{s}} \leq 2\) seconds.

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