DELAYED FUZZY CONTROLLER DESIGN FOR HYPERCHAOS WITH APPLICATION TO HYPERCHAOTIC CHEN'S SYSTEM

Author:

LIU XINGWEN1,GAO XIN1

Affiliation:

1. School of Electrical and Information Engineering, Southwest University for Nationalities of China, Chengdu, Sichuan, 610041, P. R. China

Abstract

Studied in this paper is the control problem of hyperchaotic systems. By combining Takagi–Sugeno (T–S) fuzzy model with parallel distributed compensation design technique, we propose a delay-dependent control criterion via pure delayed state feedback. Because the result is expressed in terms of linear matrix inequalities (LMIs), it is quite convenient to check in practice. Based on this criterion, a procedure is provided for designing fuzzy controller for such systems. This method is a universal one for controlling continuous hyperchaotic systems. As illustrated by its application to hyperchaotic Chen's system, the controller design is quite effective.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Cited by 8 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Design of fuzzy state feedback controller for robust stabilization of uncertain fractional-order chaotic systems;Journal of the Franklin Institute;2014-12

2. Globally exponential stability for neural networks with time-varying delays;Applied Mathematics and Computation;2013-07

3. Fuzzy Modeling and H¥ Synchronization of Different Hyperchaotic Systems via T–S Models;Applied Mathematics & Information Sciences;2013-02-01

4. CHAOS SYNCHRONIZATION IN THE PRESENCE OF NOISE;International Journal of Modern Physics C;2011-12

5. Takagi-Sugeno fuzzy-model-based control of hyperchaotic Chen system with norm-bounded uncertainties;Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering;2010-02-23

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