Abstract

This paper deals with an application of H_∝DIA control attenuating initial-state uncertainties to the Magnetic Bearing. An H_∝ control problem, which treats a mixed Disturbance and an Initial-state uncertainty Attenuation (DIA) control for linear time-invariant systems in the infinite-horizon case, is examined. The mixed DIA problem supplies H_∝ controls with good transients and assures H_∝ controls of robustness against initial-state uncertainty. We derive a mathematical model of the magnetic bearing which has complicated rotor dynamics and nonlinear magnetic property. Then we apply this proposed H_∝DIA control for the magnetic bearing, and evaluate its property with the H_∝DIA control for MIMO systems via simulations.

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