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Anticontrol of Chaos for Discrete-time Dynamical Systems via Fuzzy Hyperbolic Models

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2 Author(s)
Yan Zhao ; School of Information Science and Engineering, Northeastern University, Shenyang 110004, China; Key Laboratory of Integrated Automation of Process Industry, Northeastern University, Ministry of Education China, Shenyang 110004, China zy ; Huaguang Zhang

In this paper, a new method is proposed to chaotify a class of unknown discrete-time dynamical systems. First of all, the discrete-time fuzzy hyperbolic models (DFHMs) are employed to represent the discrete-time dynamical systems approximately. Then, a nonlinear state feedback controller is designed to chaotify the DFHMs. 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 proposed approach.

Published in:

Networking, Sensing and Control, 2008. ICNSC 2008. IEEE International Conference on

Date of Conference:

6-8 April 2008