东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2004, Vol. 25 ›› Issue (8): 727-730.DOI: -

• 论著 • 上一篇    下一篇

一类多维连续线性系统的混沌反控制

黄玮;张化光   

  1. 东北大学信息科学与工程学院;东北大学信息科学与工程学院 辽宁沈阳　110004
  • 收稿日期:2013-06-24 修回日期:2013-06-24 出版日期:2004-08-15 发布日期:2013-06-24
  • 通讯作者: Huang, W.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60274017);;

Chaotic anticontrol of a class of multi-dimensional uninterrupted linear systems

Huang, Wei (1); Zhang, Hua-Guang (1)   

  1. (1) Sch. of Info. Sci. and Eng., Northeastern Univ., Shenyang 110004, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2004-08-15 Published:2013-06-24
  • Contact: Huang, W.
  • About author:-
  • Supported by:
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摘要： 针对状态矩阵具有互不相等负特征值的多维连续线性系统,提出了一种基于采样数据的混沌反控制方法·该方法首先将连续系统离散化,然后利用离散系统混沌反控制方法设计状态反馈控制器,使原来的连续系统产生Li Yorke意义下的混沌·所设计的控制器以给定的采样周期对连续系统进行采样,由采样数据构造控制器,在每个采样周期内保持控制项不变·并给出了混沌反控制律的推导及控制器参数的设计方法·数值仿真结果证实了该方法的有效性和可行性·

关键词: 混沌控制, 反控制, 状态反馈, 连续系统, 采样数据

Abstract: An anticontrol method for a class of multi-dimensional uninterrupted linear systems with state matrix featured with different negative eigenvalues is proposed by using samplified data. The method makes the given multi-dimensional uninterrupted linear systems in such chaos as what Li and Yorke meant by discretizing it then designing a state feedback controller in accordance to an anticontrol method for a discrete time systems. The system state variables are samplified at a given sampling rate and they are used to construct a discrete time state feedback controller to make the continuous-time linear system chaotic. During each sampling period, the feedback control input remains unchanged. The law of chaotic anticontrol is derived with a systematic procedure of design parameters provided to the feedback controller. Simulation results verify the effectiveness of the proposed method.

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