Problem

Consider the discrete-time feedback system depicted in Figure P11.40. The system in the...

Consider the discrete-time feedback system depicted in Figure P11.40. The system in the forward path is not very well damped, and we would like to choose the feedback system function so as to improve the overall damping. By using the root-locus method, show that this can be done with

Specifically, sketch the root locus for K > 0, and specify the value of the gain K for which a significant improvement in damping is obtained.

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