Sliding Mode Control of Magnetic Bearing System Based on Variable Rate Reaching Law
In order to eliminate the chattering phenomena caused by conventional sliding mode control (SMC) method in magnetic bearing system control, this paper proposes a variable rate reaching law approach based sliding mode controller to achieve higher system stability and robustness. In this control law, system states’ normal numbers are brought in to automatic adjust the gain of the switching control part of SMC. The controller output amplitude of chattering can be progressively damped, and the system will converge to zero asymptotically. The system stability is proved by Laypunov theory, and the prerequisite of control law parameters design is deduced out. Simulation results show that the proposed SMC control method has effectiveness in dynamic suspension position tracking performance and obtaining system robustness.
J. F. Mao et al., "Sliding Mode Control of Magnetic Bearing System Based on Variable Rate Reaching Law", Key Engineering Materials, Vols. 460-461, pp. 827-830, 2011