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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