When proportional control is applied to the following

Chapter , Problem 12.4

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When proportional control is applied to the following plant using a gain of \(K_P=1\), the closed-loop roots are satisfactory, but the static velocity error coefficient must be increased to \(C_v=5 / \mathrm{sec}\).

                                                \(G_p(s)=\frac{1}{s^3+3 s^2+2 s}\)

Design a compensator for this plant that keeps the closed-loop roots near their original locations but increases \(C_v\) to 5 .

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