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3: (25 Points) The open loop transfer function of a unity feedback system is G(s)= K s(s+2) The desired system response to a step input

3: (25 Points) The open loop transfer function of a unity feedback system is G(s)= K s(s+2) The desired system response to a step input is specified as peak time t overshoot Mp = 5%. = 1 sec and (a) (12.5 pts) Determine whether both specifications can be met simultaneously by selecting the right value of K. (b) (12.5 pts) Sketch the associated region in the s-plane where both specifications are met, and indicate what root locations are possible for at least one likely value of K

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