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无刷直流电动机系统的有限时间同步
引用本文:徐林,陈永健,陈云,刘忠.无刷直流电动机系统的有限时间同步[J].控制理论与应用,2014,31(1):78-84.
作者姓名:徐林  陈永健  陈云  刘忠
作者单位:海军工程大学电子工程学院,91715部队,海军工程大学 电子工程学院,海军工程大学 电子工程学院
基金项目:国家自然科学基金资助项目(11202239, 61074012); 中国博士后科学基金资助项目(2012M521890); 海军工程大学自然科学基金资助项 目(HGDYDJJ11010).
摘    要: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.

关 键 词:混沌    有限时间同步    BLDCM系统    同步时间
收稿时间:2013/1/30 0:00:00
修稿时间:7/4/2013 12:00:00 AM

Finite-time synchronization for the brushless DC motor systems
XU Lin,CHEN Yong-jian,Chen Yun and LIU Zhong.Finite-time synchronization for the brushless DC motor systems[J].Control Theory & Applications,2014,31(1):78-84.
Authors:XU Lin  CHEN Yong-jian  Chen Yun and LIU Zhong
Affiliation:College of Electronic Engineering,Naval University of Engineering,Army 91715,College of Electronic Engineering, Naval University of Engineering,College of Electronic Engineering, Naval University of Engineering
Abstract: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 synchronization 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 sufficient 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.
Keywords:chaos  finite-time synchronization  the brushless DC motor systems  synchronization time
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