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Design a state feedback controller by placing the poles for a second order system ap- proximation with damping ratio

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An electric rail car is powered through its roof using a contact assembly to high power voltage lines. The assembly dynamics are shown below, where the input to the system is the Force Up,fup(t), and the output,y, is the distance between the Head Mass and the Contact Wire,y(t) =yh(t) ycat(t), yielding a transfer functionGp(t) =Y(s). […]

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