基于参数共振微扰法的直流电机混沌运动控制

针对直流电机在某些参数和控制方式下会出现混沌与分岔运动，导致电机系统的损耗增加和运行的无规现象，通过建立精确状态方程模型和离散迭代非线性映射，对永磁同步电机（PMSM）的混沌现象进行了分析，并且采用参数共振微扰法对其进行了控制；选择了一个对直流电机系统影响较大、且易于改变的参数转速，再加入一个微小的正弦扰动信号，实现了系统的混沌控制。理论分析和数值仿真结果表明：建立精确状态方程模型和离散迭代非线性映射这两种方法下分析的电机系统在混沌状态下的分叉情况基本一致，且通过对电机中参数转速以特定的频率进行扰动，可以将系统稳定在某一周期轨道上；同时适当的参数扰动能减弱甚至消除系统中的混沌运动。

Chaotic motion control in DC motor based on resonant parametric perturbation

Aiming at the phenomenon of chaos and bifurcation movement under certain parameters and control for DC motor, which will lead to the loss of the motor system and run random, through establishing the exact equation of state models and disereting iterative nonlinear mapping, Permanent magnet synchronous motor（PMSM） chaotic phenomena was analyzed, and it was controlled by the method of resonant parametric perturbation. Firstly, a parameter of speed was selected, which is greater impacting on the DC motor system, and easy to change. Then, a small sinusoidal perturbation signal was joined to achieve chaos control system. The theoretical analysis and numerical simulation results indicate that the bifurcation of motor system in the chaotic state is basically the same in two methods of establishing the accurate equation of state model and discrete iterative nonlinear mapping, and by the parameters disturbance of the motor speed in a specific frequency, the system can be stabilized in a periodic orbit. That is the chaotic motion of the system can be weakened or even eliminated in appropriate parameter perturbation.