磁悬浮电动机的状态反馈线性化控制

DYNAMIC FEEDBACK LINEARIZATION CONTROL FOR INDUCTION-TYPE BEARINGLESS MOTOR

借助电磁场的有限元计算建立了磁悬浮电动机的数学模型 ,针对系统具有多变量、强耦合、非线性的特点 ,应用多变量非线性控制的状态反馈线性化方法 ,设计出非线性控制器 ,经过该控制器的补偿 ,将原非线性强耦合的多变量系统解耦并线性化 ,成为转速、转子磁链及转子位置等彼此无耦合的线性子系统。应用线性系统理论对这些线性子系统进行综合。仿真表明 ,系统具有良好的静、动态性能。应用高磁场稀土钕铁硼永磁铁推力轴承 ,实现转子的轴向稳定。

A model of a bearingless motor is presented,in which finite element method is employed. An input output linearizing control approach has been developed for the nonlinear system of the bearingless motor in which lateral forces can be generated in addition to the torque. A nonlinear controller based on dynamic feedback linearization is designed such that the nonlinear system with strongly coupled motion is reduced to four decoupled normalization linear subsystems including two rotor displacements and its speed as well as rotor flux. Furthermore, linear control system techniques are applied to these linearized subsystems to synthesize desired response. To verify the effectiveness of the control scheme, some simulations have been employed, and the results are satisfactory. A permanent magnet thrust bearing was employed to stabilize the rotor in axial direction.