Stable fuzzy control with adaptive rotor imbalance compensation for nonlinear magnetic bearing systems

Abstract

The six‐DOF nonlinear dynamics and rotor mass‐imbalance induced vibration of a high‐speed magnetic bearing are rather complex. In this paper, an analytical T‐S (Takagi‐Sugeno) fuzzy model with simplified linearly‐parameterized mass‐imbalance model for magnetic bearings is first constructed. Based on the T‐S fuzzy model, a stable fuzzy control including adaptive imbalance compensation is then proposed through robust performance analysis. Simulation validations show that the proposed control law can suppress the rotor imbalance‐induced vibration and has excellent capability for high‐speed tracking and levitation control.

Key words:

• magnetic bearing
• T‐S fuzzy model
• fuzzy control
• adaptive imbalance compensation
• linear matrix inequality

Notes

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