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Consider a unity-gain negative feedback system with G(s) as the (second-order)...

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Consider a unity-gain negative

feedback system with

G(s) as the (second-order) plant and Gc(s) as the series compensator. 

Design a PD compensator Gc(s) = kc (s+zc) so as to place one of the closed-loop poles at s=s* = -12.6 +j12.6 .

We have, the magnitude of G(s)=0.01 at s=s*.

Also, the angle of degrees at s=s*.

The value of kc =  

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