Abstract
In this paper, we propose robust fuzzy control for a hybrid magnetic bearings. The control objective of HMBs enables the rotor to rotate without any physical contact in spite of the nonlinearity and uncertainty of the concerned plants. To achieve the robust stability, we address the uncertainties of the given system based on the Takagi–Sugeno fuzzy model. Also, in order to maintain the relaxed stabilization condition, nonparallel distributed compensation control law, as analyzed by the parameter-dependent Lyapunov function, is applied to the HMBs with parametric uncertainties. The conditions for the robust controller are obtained in terms of solutions to linear matrix inequalities. Finally, simulation results for HMBs are used to demonstrate the feasibility of the proposed method.
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