摘  要：针对永磁同步电机（PMSM）混沌运动状态快速有效的摆脱问题，提出了一种控制算法：首先通过线性空间变换，将转子磁场定向坐标系下的PMSM模型，转换成一种简单的无量纲模型；其次分析了平衡点附近局部线性化后的Jacobian矩阵特征值，与PMSM的混沌行为的关系；最后基于Lypunov稳定性理论，设计混沌滑模控制器，实现了对PMSM混沌运动的抑制。数字仿真结果验证了理论分析的正确性和控制方法的有效性。
关键词：永磁同步电机；混沌；Lyapunov稳定性；混沌滑模控制

Abstract: To deal with how to get rid of chaos in permanent magnet synchronous motor(PMSM) effecctively and quickly,one control methold was proposed. First, the oriented mathematical model of PMSM in the rotor field was transformed into the non dimensional form via linear space transformation; Then the chaos behavior was analyzed by mathmatic relations between equilibrium and Jacobian matrix eigenvalue; Finally, a chaos & sliding model control (Chaos&SMC) was designed to PMSM system based on Lyapunov stability theory. The controller is proved to be asymptotically stable. Smiulation results show that the proposed method can inhibit chaotic motions successfully and how effective the method is.
Key words: permanent magnet synchronous motor; chaos; lyapunov stability theory; chaos & sliding model control