This article focuses on realizing the chaos control of a permanent magnet synchronous motor by combining a pseudo-linear inverse system of the permanent magnet synchronous motor and synthetical sliding mode control. First, the permanent magnet synchronous motor dimensionless nonlinear mathematical model is established, and its chaos is analyzed by the Lyapunov exponent method. The permanent magnet synchronous motor parameter range when chaos appears is obtained. Then, the inverse system decoupling method is used to analyze the reversibility of the permanent magnet synchronous motor system, and the permanent magnet synchronous motor inverse system is obtained, which is compounded with the original system into a pseudo-linear inverse system that consists of two independent subsystems, including a first-order d-axis current system and a second-order rotational speed system, to decouple the permanent magnet synchronous motor system. Third, the first-order d-axis subsystem is controlled by sliding mode control with a hyperbolic tangent function as the switching function, and the second-order speed subsystem is controlled by super-twisting sliding mode control with a hyperbolic tangent function as the switching function, which is called the synthetical sliding mode control. The permanent magnet synchronous motor pseudo-linear inverse system is controlled by using the synthetical sliding mode to realize the chaos control of the permanent magnet synchronous motor. Finally, three kinds of permanent magnet synchronous motor chaos control systems are established in MATLAB/Simulink software, and the experimental tests are implemented. The results show that the proposed permanent magnet synchronous motor chaos control system has good performance, which can effectively eliminate chattering in sliding mode control and control chaos in the permanent magnet synchronous motor system.

本文着重于通过将永磁同步电动机的伪线性逆系统与合成滑模控制相结合来实现永磁同步电动机的混沌控制。首先，建立了永磁同步电动机的无量纲非线性数学模型，并通过李雅普诺夫指数法对其混沌进行了分析。获得出现混沌时的永磁同步电动机参数范围。然后，采用逆系统解耦方法对永磁同步电动机系统的可逆性进行分析，得到了永磁同步电动机逆系统，并将其与原系统复合为一个由两部分组成的伪线性逆系统。独立子系统 包括一阶d轴电流系统和二阶转速系统，以使永磁同步电动机系统解耦。第三，通过以双曲正切函数作为切换函数的滑模控制来控制一阶d轴子系统，并且通过以双曲正切函数作为切换的超扭曲滑模控制来控制二阶速度子系统。功能，称为综合滑模控制。通过合成滑模控制永磁同步电动机伪线性逆系统，实现了永磁同步电动机的混沌控制。最后，在MATLAB / Simulink软件中建立了三种永磁同步电动机混沌控制系统，并进行了实验测试。