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Consider the unity-feedback system in Figure 1. Assume that K(s=ss+a,G(s)=(s+1)(s+3)2 Please determine the value of a such that the damping ratio of the dominant closed-loop

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Consider the unity-feedback system in Figure 1. Assume that K(s=ss+a,G(s)=(s+1)(s+3)2 Please determine the value of a such that the damping ratio of the dominant closed-loop poles is 0.5 . (Points will be given for partial solutions, please try your best to be organized in procedures.)

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