永磁同步电动机的随机位置控制

Stochastic Position Control for Permanent Magnet Synchronous Motor

通过在相电压和外部负载中分别加入维纳过程和马尔科夫过程,建立考虑随机干扰量影响的永磁同步电动机动态模型。以转子位移、转子转速和三相相电流为状态,研究转子位移的随机跟踪问题。基于建立的动态模型,考虑马尔科夫跳变参数的随机反步控制技术,设计了实现转子位移跟踪的随机反馈控制器。对建立的动态模型和设计的随机反馈控制器组成的闭环系统进行稳定性分析。分析结果表明,闭环系统有唯一解,且位置跟踪误差的L4范数可依概率被调节到原点任意小的邻域。

By adding the Wiener process and the Markov process in the phase voltage and external load, a dynamic model of the permanent magnet synchronous motor in the influence of the random disturbance is established. In the condition of the rotor position, rotor speed and tri-phase current, the problem of the random tracing of the rotor displacement is discussed. Based on the established model and the random backstepping control technology in the condition of Markovian Jumping Parameters, the random feedback controller to implement the rotor displacement tracking is designed. The stability of the closed-loop system which is made up of the established dynamic model and the random feedback controller is analyzed. The analytical results show that the closed-loop system has the unique solution and the L4-norm of the tracing error can converge to an arbitrarily small neighborhood of the origin in probability.