华东师范大学学报(自然科学版) ›› 2010, Vol. 2010 ›› Issue (1): 62-68,7.

• 论文 • 上一篇    下一篇

BLDCM系统的全局指数吸引集以及反馈同步(英)

舒永录,张勇   

  1. 重庆大学 数理学院, 重庆400044
  • 收稿日期:2009-04-03 修回日期:2009-07-28 出版日期:2010-01-25 发布日期:2010-01-25
  • 通讯作者: 舒永录

Globally attractive set and feedback synchronization of the BLDCM system

SHU Yong-lu,ZHANG Yong   

  1. College of Mathematics and Physics, Chongqing University, Chongqing 400044, China
  • Received:2009-04-03 Revised:2009-07-28 Online:2010-01-25 Published:2010-01-25
  • Contact: SHU Yong-lu

摘要: 研究了无刷直流发电机(BLDCM)混沌系统的全局指数吸引集以及同步问题. 首先,基于全局指数吸引集的概念和 Lyapunov 函数稳定性理论,给出了全局指数吸引集的一个充分条件; 然后, 设计有效的控制器实现混沌系统的同步; 最后,数值仿真结果表明该方法是快速有效的.

关键词: 全局指数吸引集, 同步, 混沌, 无刷直流发电机系统, 全局指数吸引集, 同步, 混沌, 无刷直流发电机系统

Abstract: The globally exponentially attractive set and synchronization problem of the brushless dc motor (BLDCM) chaotic system were researched. Firstly, based on the definition of globally exponentially attractive set and Lyapunov stability theory, a sufficient condition for the globally exponentially attractive was given. Secondly, nonlinear feedback control was used to realize the synchronization of two chaotic
systems. Finally, numerical simulations were presented to show the effectiveness of the proposed chaos synchronization scheme.

Key words: synchronization, chaos, brushless dc motor chaotic system, globally exponentially attractive set, synchronization, chaos, brushless dc motor chaotic system

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