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

Xingwen Liu () and Xin Gao
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Xingwen Liu: School of Electrical and Information Engineering, Southwest University for Nationalities of China, Chengdu, Sichuan, 610041, P. R. China
Xin Gao: School of Electrical and Information Engineering, Southwest University for Nationalities of China, Chengdu, Sichuan, 610041, P. R. China

International Journal of Modern Physics C (IJMPC), 2007, vol. 18, issue 07, 1095-1105

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.

Keywords: Chaos control; Lyapunov–Krasovskii functional; T–S fuzzy model; delayed state (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1142/S0129183107011157

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