A second-order control system has the closed-loop transfer function T(s) = Y(s)/R(s)

Chapter 0, Problem E5.10

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A second-order control system has the closed-loop transfer function T(s) = Y(s)/R(s). The system specifications for a step input follow: (1) Percent overshoot P.O. < 5%. (2) Settling time Ts < 4s. (3) Peak time Tp < Is. Show the permissible area for the poles of T(s) in order to achieve the desired response. Use a 2% settling criterion to determine settling time.

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