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Chin. Phys. B, 2008, Vol. 17(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

Zhao Yan(赵琰)a), Zhang Hua-Guang(张化光)a)b), and Zheng Cheng-De(郑成德)a)c)
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
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.
Keywords:  discrete-time fuzzy hyperbolic model      anticontrol of chaos      parametric uncertainty      nonlinear state feedback  
Received:  29 May 2007      Revised:  06 July 2007      Accepted manuscript online: 
PACS:  05.45.Gg (Control of chaos, applications of chaos)  
  07.05.Mh (Neural networks, fuzzy logic, artificial intelligence)  
  07.05.Dz (Control systems)  
Fund: 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).

Cite this article: 

Zhao Yan(赵琰), Zhang Hua-Guang(张化光), and Zheng Cheng-De(郑成德) Anticontrol of chaos for discrete-time fuzzy hyperbolic model with uncertain parameters 2008 Chin. Phys. B 17 529

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