基于微分几何的永磁直线同步电机非线性控制方法研究

Based on Differential Geometry Permanent Magnet Linear Synchronous Motor Nonlinear Control

为了实现永磁直线同步电机在垂直升降系统运行过程中的良好控制性能,从电机学原理出发,分析了永磁直线同步电机的数学模型,提出了一种微分几何非线性最优控制的方法。通过微分几何的状态反馈精确线性化把直线电动机的非线性系统转换为线性系统,并在此基础上应用非线性最优控制理论设计控制器。最后,实现对电动机的优化控制,实验结果表明:所提出的方法提高了系统的运动性能,增强了系统对参数摄动和外在扰动的鲁棒性,较传统PID算法有更好的优越性。

In order to achieve the good control performance of permanent-magnet linear synchronous motor （PMLSM） in vertical lift system. Based on the theory of induction motor, the mathematical model of PMLSM is analyzed. In terms of nonlinear system of differential geometry state feedback linearization method, the nonlinear system of linear synchronous moter is turned into a linear system. On this basis, an optimal controller was designed to control it. At last, The simulation results verify the correct estimate of the control strategy of the states, and develop the robustness of PMLSM. Comparing the PID algorithm, the proposed algorithm has great superiority.