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Question: The closed-loop transfer function of a unity-feedback control MEMS is G_CL(s) = 2500/s² + 40s + 2500

(a) What changes are needed in the damping ratio p and natural frequency ~n to produce a reduction of 20% in the maximum overshoot and a reduction of 15% in the rise time under unit step input?

(b) How will the closed-loop poles move in the complex plane as a result of these changes?

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