永磁同步电动机的混沌数学模型及其线性反馈同步控制

Chaotic Mathematical Model and Linear Feedback Synchronization Control for Permanent Magnet Synchronous Motor

通过分析永磁同步电动机的非线性特性,推导出其对应的数学模型,对其进行复杂动力学分析后得出其是混沌数学模型的结论,从而将控制永磁同步电动机系统转化为对混沌系统的控制,用线性反馈同步控制方法对永磁同步电动机的三种运行状态进行控制,利用Matlab仿真达到了控制永磁同步电动机的目的。结果表明,利用线性反馈可以很好地消除混沌,使系统达到一个稳定的状态。该控制策略能有效地改善永磁同步电动机系统的动态性能,增强其鲁棒性与抗干扰能力。

By analyzing the nonlinear characteristics of permanent magnet synchronous motor,this paper presented its mathematical model.The analysis of its complex dynamics,proves that it is a chaotic mathematical model.Then,the controlling of the permanent magnet synchronous motor system can be conversed into chaotic system control.It controlled the chaotic systems of the permanent magnet synchronous motor by the linear feedback synchronization control method,and it achieved the goal through the simulation of Matlab.The results show that the chaotic system can be controlled well by linear feedback,and that the system can keep a steady state.The control method can greatly improve dynamic performance,robustness and anti-disturbance capacity of the system.