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Problem 2 (10 pts.) Specifications in the S-plane. A certain system has dynamics dominated by a complex pair of poles. The time-domain specifications of

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Problem 2 (10 pts.) Specifications in the S-plane. A certain system has dynamics dominated by a complex pair of poles. The time-domain specifications of the response to a step input are: tr0.9 sec Mp 16% ts 4.6 sec (estimate) a. Neatly shade the region in the s-plane where the poles could be placed so the system will meet these specifications (6 pts). b. Indicate on your sketch the specific locations that will have the smallest rise time and also meet the settling time estimate exactly (4 pts).

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