中国物理B ›› 2008, Vol. 17 ›› Issue (2): 529-535.doi: 10.1088/1674-1056/17/2/030

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Anticontrol of chaos for discrete-time fuzzy hyperbolic model with uncertain parameters

赵 琰1, 郑成德2, 张化光3   

  1. (1)School of Information Science and Engineering, Northeastern University, Shenyang 110004, China; (2)School of Information Science and Engineering, Northeastern University, Shenyang 110004, China;Department of Mathematics, Dalian Jiaotong University, Dalian 116028, China; (3)School of Information Science and Engineering, Northeastern University, Shenyang 110004, China;Key Laboratory of Process Industry Automation of Ministry of Education, Northeastern University, Shenyang 110004, China
  • 收稿日期:2007-05-29 修回日期:2007-07-06 出版日期:2008-02-20 发布日期:2008-02-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 60325311, 60534010, 60572070 and 60521003), the Program for Cheung Kong Scholars and Innovative Research Team in University (Grant No IRT0421).

Anticontrol of chaos for discrete-time fuzzy hyperbolic model with uncertain parameters

Zhao Yan(赵琰)a)†, Zhang Hua-Guang(张化光)a)b), and Zheng Cheng-De(郑成德)a)c)   

  1. a School of Information Science and Engineering, Northeastern University, Shenyang 110004, China; b Key Laboratory of Process Industry Automation of Ministry of Education, Northeastern University, Shenyang 110004, China; c Department of Mathematics, Dalian Jiaotong University, Dalian 116028, China
  • Received:2007-05-29 Revised:2007-07-06 Online:2008-02-20 Published:2008-02-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 60325311, 60534010, 60572070 and 60521003), the Program for Cheung Kong Scholars and Innovative Research Team in University (Grant No IRT0421).

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摘要： This paper proposes a new method to chaotify the discrete-time fuzzy hyperbolic model (DFHM) with uncertain parameters. A simple nonlinear state feedback controller is designed for this purpose. By revised Marotto theorem, it is proven that the chaos generated by this controller satisfies the Li--Yorke definition. An example is presented to demonstrate the effectiveness of the approach.

关键词: discrete-time fuzzy hyperbolic model, anticontrol of chaos, parametric uncertainty, nonlinear state feedback

Abstract: This paper proposes a new method to chaotify the discrete-time fuzzy hyperbolic model (DFHM) with uncertain parameters. A simple nonlinear state feedback controller is designed for this purpose. By revised Marotto theorem, it is proven that the chaos generated by this controller satisfies the Li--Yorke definition. An example is presented to demonstrate the effectiveness of the approach.

Key words: discrete-time fuzzy hyperbolic model, anticontrol of chaos, parametric uncertainty, nonlinear state feedback

中图分类号:  (Control of chaos, applications of chaos)

  • 05.45.Gg
07.05.Mh (Neural networks, fuzzy logic, artificial intelligence) 07.05.Dz (Control systems)