无刷直流电动机系统的有限时间同步

Finite-time synchronization for the brushless DC motor systems

有限时间同步能够确保两个系统在有限的时间内实现同步,具有重要的研究意义.但常见的控制器往往只能确保两个系统渐近同步,而能够实现有限时间同步的控制器目前尚不多见,且存在控制器复杂,不连续易产生抖振现象等缺陷.为此,本文设计了一种简单连续的有限时间同步控制器,实现了主–从无刷直流电动机系统(the brushless DC motor system,BLDCM)的有限时间同步.首先建立了基于该控制器的主–从有限时间同步框架.然后,从理论上证明了两个相同的BLDCM系统有限时间同步的充分性同步判据.最后,通过数值实例验证了所得判据的有效性.

It is a significant work to get two systems operating in synchronization within a finite time. Most conventional controllers only ensure the asymptotical synchronization. At present, some controllers can achieve finite-time synchroniza- tion but are with either complex configuration or switched configuration causing chattering. We develop a controller with simple and continuous configuration for achieving the finite-time synchronization of the brushless DC motor （BLDCM） systems. Firstly, the master-slave finite-time synchronization scheme for this controller is established; and then, some suffi- cient criteria for the finite-time synchronization of two BLDCM systems are theoretically proved by means of the finite-time stabilization theory. Finally, the effectiveness of the obtained criteria is validated by numerical examples.