Consider the feedback system shown in Figure 10.63. a. Find the locus of the closed-loop poles with

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Consider the feedback system shown in Figure 10.63.

a. Find the locus of the closed-loop poles with respect to \(K\).

b. Find a value of \(K\) such that the maximum overshoot in the response to a unitstep reference input is less than \(5 \%\). What is the corresponding steady-state error of the closed-loop system?

c. Plot the unit-step response of the closed-loop system to verify the result for Part (b).

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