参数不确定永磁同步电机混沌系统的单输入状态反馈控制

摘要

针对含有参数不确定的永磁同步电机混沌系统，基于串接系统理论，提出了一种新型的鲁棒状态反馈控制方法。该方法首先将永磁同步电机混沌系统看作由两个子系统组成，即电气子系统和机械子系统。其次，通过对电气子系统设计状态反馈控制器来实现闭环系统的全局渐进稳定。该控制器仅通过控制交轴电压即可实现整个系统的稳定控制，结构简单，具有一定的可实现性。基于Lya-punov稳定理论证明了系统的全局渐进稳定性。仿真结果证实了该方法的有效性。%This paper concerned with the problem of controlling chaos in permanent magnet synchronous motor ( PMSM) with parametric uncertainties. Based on cascade-connected system theory ( CCST) , a novel robust state feedback control scheme is proposed. First,PMSM chaotic systems can be regarded as two sub-systems:electrical subsystem and mechanical subsystem. Then, a state feedback controller is designed for e-lectrical subsystem to make the closed system asymptotically stable. Only by controlling the cross-axis volt-age, it can guarantee the whole system global asymptotically stability. Moreover, the presented controller has a simple structure to realize. The stability of the closed-loop system is demonstrated via Lyapunov sta-bility theory. Simulation results verify the effectiveness of the proposed method.