A damped single-degree-of-freedom system has a mass ((m)) of (5 mathrm{~kg}), stiffness ((k)) of (20 mathrm{~N} /
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A damped single-degree-of-freedom system has a mass \((m)\) of \(5 \mathrm{~kg}\), stiffness \((k)\) of \(20 \mathrm{~N} / \mathrm{m}\), and a damping constant \((c)\) of \(5 \mathrm{~N}-\mathrm{s} / \mathrm{m}\). Design an active controller to achieve a settling time less than \(15 \mathrm{~s}\) for the closed loop system.
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