The closed-loop transfer function of a unity-feedback, Physics

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The closed-loop transfer function of a unity-feedback

Question: The closed-loop transfer function of a unity-feedback control system is GCL(s) = 1/(s² - 1). Evaluate whether it is possible or not to stabilize this system by adding a PD controller. In case stabilizing is doable, determine the constants of the additional controller.

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Physics: The closed-loop transfer function of a unity-feedback

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