E5.10 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 T, < 4 s. 3. Peak time T, <1s. Show the desired region for the poles of T(s) in order to achieve the desired response. Use a 2% set- tling criterion to determine settling time.

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E5.10 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 T, < 4 s.
3. Peak time T, <1s.
Show the desired region for the poles of T(s) in
order to achieve the desired response. Use a 2% set-
tling criterion to determine settling time.
Transcribed Image Text:E5.10 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 T, < 4 s. 3. Peak time T, <1s. Show the desired region for the poles of T(s) in order to achieve the desired response. Use a 2% set- tling criterion to determine settling time.
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