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Consider a unity-gain negative feedback system with G 1 (s) as the (second-ord...

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Consider a unity-gain negative

feedback system with

G1(s) as the (second-order) plant and Gc1(s) as the series compensator. 

We have magnitude of G1(s)=12.6 at s=0.

Design a lag compensator Gc1(s) = (s+zc1)/(s+pc1) so as reduce the steady-state error by a factor of 10, as compared to the steady-state error of the uncompensated closed-loop system.

Calculate the ratio zc1/pc1 =  

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