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(a) The measured frequency response magnitude and phase of a second order open-loop control system transfer function KG(s) are as shown in Fig. P3a. Determine G(s). (b) A different unit feedback control system has loop transfer function L(s) = C(s)G(s)) = K/s(s+25). The specification for the closed-loop system requires that the percent overshoot to a unit step input to be Mp ≤ 10%. (i) Determine the corresponding specification for the frequency domain resonant peak Mr, the resonant frequency ωr, and the bandwidth ωBW.

(a) The measured frequency response magnitude and phase of a second order open-loop control system transfer function KG(s) are as shown in Fig. P3a. Determine G(s). (b) A different unit feedback control system has loop transfer function L(s) = C(s)G(s)) = K/s(s+25). The specification for the closed-loop system requires that the percent overshoot to a unit step input to be Mp ≤ 10%. (i) Determine the corresponding specification for the frequency domain resonant peak Mr, the resonant frequency ωr, and the bandwidth ωBW.

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(a) The measured frequency response magnitude and phase of a second order open-loop control system transfer function KG(s) are as shown in Fig. P3a. Determine G(s). (b) A different unit feedback control system has loop transfer function L(s) = C(s)G(s)) = K/s(s+25). The specification for the closed-loop system requires that the percent overshoot to a unit step input to be Mp ≤ 10%. (i) Determine the corresponding specification for the frequency domain resonant peak Mr, the resonant frequency ωr, and the bandwidth ωBW.

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