摘要
本文通过现代非线性理论如混沌动力学理论研究了永磁式步进电动机的非线性动力学。本文的研究对象是三相步进电动机。研究表明在高频情况下系统会经历一个动态的分叉(Hopf分叉)。由于永磁式步进电动机被广泛地应用于许多重要的领域,所以本文提出了对三相步进电动机的不稳定性的控制。设计了非线性鲁棒控制器。研究还阐明了在一些电动机参数不确定的情况下如何使系统稳定并且具有令人满意的性能。
The nonlinear dynamics of a permanent magnet stepper motor is studied by means of modern nonlinear theories such as bifurcation and chaos. A three-phase stepper is considered as a case study in this paper. The study shows that the system experiences a dynamic bifurcation (Hopf bifurcation) at high frequencies. Since this kind of motors is widely used in some important applications, controlling such instabilities is the main concern of this paper. A nonlinear robust model-reference controller is introduced. The study shows how to stabilize the system, while having a satisfactory performance, even in the case when some of the motor parameters were uncertain.
