东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2011, Vol. 32 ›› Issue (2): 165-168.DOI: -

• 论著 • 上一篇    下一篇

基于状态观测器的新分数阶超混沌系统广义同步

孙宁;王智良;   

  1. 东北大学信息科学与工程学院;
  • 收稿日期:2013-06-19 修回日期:2013-06-19 发布日期:2013-04-04
  • 通讯作者: -
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60804006)

Generalized synchronization of a new fractional-order hyperchaotic system based on state observer

Sun, Ning (1); Wang, Zhi-Liang (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110819, China
  • Received:2013-06-19 Revised:2013-06-19 Published:2013-04-04
  • Contact: Sun, N.
  • About author:-
  • Supported by:
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摘要： 研究一个新分数阶超混沌系统的非奇异矩阵系数的广义同步问题.根据实际问题需要,这个新的分数阶超混沌系统采用Caputo分数阶导数的定义.针对这个系统,设计了一个基于极点配置理论和分数阶线性系统稳定理论的状态观测器.通过配置误差系统系数矩阵极点位置,设计得到反馈矩阵L,使得观测器状态的线性非奇异变换与该分数阶超混沌系统的状态实现广义同步,从而也使这个观测器可以实现包括完全同步、反同步和投影同步等经典的同步形式.数值仿真验证了该方法的有效性.

关键词: 分数阶, 超混沌系统, 广义同步, 极点配置, 状态观测器

Abstract: Studies the generalized synchronization of a new fractional-order hyperchaotic system which is defined by the Caputo's fractional derivative according to practical requirements. For this system, a state observer is designed on the bases of pole assignment and the stability theory of a linear fractional-order system. An appropriate feedback gain matrix of the state-observer can be obtained through the pole assignment so as to realize the generalized synchronization between the arbitrary linear nonsingular transformation of the observer's state and the state of the fractional-order hyperchaotic system, thus the conventional modes of synchronization, e. g., the complete synchronization, anti-synchronization and projective synchronization are all available. Numerical simulation verified the effectiveness of the method proposed.

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