Abstract
A spinning rotor partially filled with liquid becomes unstable in a certain region of rotation speed. For a stabilization method of this kind of rotor, an active dynamic vibration absorber is applied in this study, and the optimal control system is synthesized by using a simple parametric excitation physical model for the coupling vibration between the liquid and the rotor. The derived optimal state feedback gains are time-varying and in particular, those of the rotor states vary as a harmonic wave with frequency of twice the rotation speed. The usefulness of the time-varying control method was demonstrated by performing computer simulations and experiments of stabilizing control of the rotor containing liquid.
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