A damped single-degree-of-freedom system has an undamped natural frequency of (20 mathrm{rad} / mathrm{s}) and a damping
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A damped single-degree-of-freedom system has an undamped natural frequency of \(20 \mathrm{rad} / \mathrm{s}\) and a damping ratio of 0.20. Design an active control system which achieves an undamped natural frequency of \(100 \mathrm{rad} / \mathrm{s}\) and a damping ratio of 0.8. Assume that the mass, stiffness, and damping constant of the original system remain in place.
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