Gain-Scheduling Robust Control for High-Speed Flat Magnetically Suspended Rotor of MSCMG Considering Gyroscopic Effects and Dynamic Characteristics

This article proposes a gain-scheduling state feedback (GS-SF) control strategy using the tensor product model transformation (TPMT) method. A multichannel dynamic model of the active magnetic bearing (AMB) rotor is established, and then, the characteristics of the gyroscopic effects term varying with rotational speed are analyzed. The linear matrix inequality (LMI) constraints for the controller design are derived while considering disturbances and dynamic performance and further extended to linear parameter-varying (LPV) systems, effectively reducing the conservatism of controller design and the difficulty of parameter adjustment. A GS-SF controller is synthesized using the provided LMIs and compared with the decentralized PID control method. The simulation and experimental results show that the proposed method not only effectively suppresses the strong gyro coupling effect of the AMB rotor, ensuring the stability of the whirling modes, and achieves a suspension accuracy better than 5% of the protection gap at the target speed but also has good disturbance suppression ability and dynamic response performance.