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 (5): 609-612.DOI: -

• 论著 •    下一篇

基于Delta算子离散化方法的连续T-S模型混沌化

赵琰;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;辽宁沈阳110004
  • 收稿日期:2013-06-22 修回日期:2013-06-22 出版日期:2008-05-15 发布日期:2013-06-22
  • 通讯作者: Zhao, Y.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60325311,60534010,60572070,60521003);;

Chaotifying continuous-time T-S model via Delta operator discretization

Zhao, Yan (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:2008-05-15 Published:2013-06-22
  • Contact: Zhao, Y.
  • About author:-
  • Supported by:
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摘要： 针对一类连续时间T-S模糊模型的混沌化问题,提出一种新的混沌化方法.首先采用Delta算子离散化的方法将连续时间T-S模糊模型全局离散化,然后,在此离散时间T-S模糊模型的基础上,设计了一个线性状态反馈控制器,最后对整个闭环系统作一次溢出非线性函数运算以保证系统状态的有界性.可以证明,当控制器增益取得合适的情况下,系统可以产生Devaney意义下的混沌.数值仿真结果验证了所提方法的有效性.

关键词: 连续T-S模型, Delta算子离散化, 混沌化, 混沌反控制, Devaney混沌

Abstract: A new approach was proposed to chaotify a class of continuous-time T-S fuzzy models. The delta operator is employed to discretize the continuous-time T-S fuzzy models globally so as to design a linear state feedback controller. Then, an operation of overflow nonlinear function is done for the whole closed-loop system to ensure the boundedness of the controlled system. It is proved that the system is thus chaotic in the sense of Devaney if the parameters of controller are chosen appropriately. The simulation results demonstrate the effectiveness of the proposed approach.

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