基于有限时间LaSalle不变集的PMSM混沌控制

Chaos Control of Permanent Magnet Synchronous Motor Based on Finite Time LaSalle Invariant Set

为有效地抑制永磁同步电动机系统的混沌行为,基于有限时间理论和LaSalle不变集定理设计了一种自适应控制器。分析了永磁同步电动机系统的混沌动力学特性,确定了系统处于不同运动状态的参数域;在理论上证明该控制器能够在有限时间内稳定到平衡点且能自动跟踪系统平衡点;仿真实验证明,该控制方案形式简单,快速性更好,稳定性更高。研究结果对保证永磁同步电动机的稳定运行具有重要意义。

In order to effectively restrain the chaotic behavior of permanent magnet synchronous motor,an adaptive controller is designed based on finite time theory and LaSalle invariant set theorem.The chaotic dynamics characteristics of the permanent magnet synchronous motor system are analyzed,and the parameter fields of the system in different motion states are determined.It is proved theoretically that the controller can stabilize to the equilibrium point in finite time and can automatically track the equilibrium point of the system.Simulation results show that the control scheme is concise,faster and more stable.The research results are of great significance to ensure the stable operation of PMSM.