Exercise 1: Determine the roots locus of a control system with the following open-loop transfer function: GH) = K / s(s + 3)(s + 9) Then determine the operating point, so, for a damping ratio of 0.5 (5 = 0.5). Also find the gain, K, and the resonant frequency, wo, at the operating point.

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Exercise 1:
Determine the roots locus of a control system with the following open-loop transfer function:
K / s(s + 3)(s + 9)
Then determine the operating point, so, for a damping ratio of 0.5 (5 = 0.5). Also find the
gain, K, and the resonant frequency, w,, at the operating point.
%3D
Transcribed Image Text:Exercise 1: Determine the roots locus of a control system with the following open-loop transfer function: K / s(s + 3)(s + 9) Then determine the operating point, so, for a damping ratio of 0.5 (5 = 0.5). Also find the gain, K, and the resonant frequency, w,, at the operating point. %3D
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