东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2008, Vol. 29 ›› Issue (9): 1224-1227.DOI: -

• 论著 • 上一篇    下一篇

一类由耦合Lorenz系统组成的大系统的同步与镇定

刘鑫蕊;张化光;   

  1. 东北大学信息科学与工程学院;
  • 收稿日期:2013-06-22 修回日期:2013-06-22 出版日期:2008-09-15 发布日期:2013-06-22
  • 通讯作者: Liu, X.-R.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60534010;60572070;60521003;60774048;60728307);;

Synchronization and stabilization of a large-scale system composed of coupled lorenz systems

Liu, Xin-Rui (1); Zhang, Hua-Guang (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • Received:2013-06-22 Revised:2013-06-22 Online:2008-09-15 Published:2013-06-22
  • Contact: Liu, X.-R.
  • About author:-
  • Supported by:
    -

RichHTML

0

PDF (PC)

583

摘要： 研究了由N个结构相同的耦合Lorenz系统组成的大系统的同步和镇定问题,且这类大系统是通过各子系统的第一个状态变量耦合的.当系统未加控制的时候,通过选择一个自适应率,给出了使大系统同步的充分条件;如果选择合适的控制器,大系统能够被镇定.这个控制器由两部分组成,一部分是状态反馈控制器,状态反馈控制的优点是结构简单,易于实现;另一部分是和耦合系数相关的控制量,且充分条件是由线性矩阵不等式(LMIs)表示.最后,仿真例子证明了提出方法的可行性和有效性.

关键词: 耦合Lorenz系统, 混沌系统, 大系统, 同步, 镇定

Abstract: The synchronization and stabilization issues are investigated for a large-scale system, which is composed of N identical Lorenz systems and they are coupled together with the first state variable of each subsystem. When uncontrolled, the sufficient condition of synchronization for such the large-scale system is derived by choosing an adaptive feedback gain equation. And if choosing an appropriate controller, the large-scale system can be stabilized. Such a controller is composed of two components, i.e., the state feedback controller is simple and easy to implement, and the other one relates to coupling coefficient. As a result, the final expression is in the terms of the Linear Matrix Inequalities (LMIs). A simulation example is provided to illustrate the design procedure of the proposed method and its feasibility and effectiveness.

中图分类号: