A sum-of-squares approach to synchronization of chaotic systems with polynomial fuzzy systems

Author

Gwo-Ruey Yu ; Hsiang-Ting Huang

Author_Institution

Dept. of Electr. Eng., Nat. Chung Cheng Univ., Chiayi, Taiwan

fYear

2012

fDate

16-18 Nov. 2012

Firstpage

175

Lastpage

180

Abstract

This paper presents synchronization of chaotic systems by polynomial fuzzy model. The sum of squares (SOS)-based framework contributes a large number of innovations and improvements over the LMI-based approaches to T-S fuzzy modeling and control. Polynomial fuzzy systems provide more general and effective than other fuzzy approaches. This paper derives SOS-based stability conditions for chaotic systems with decay rate and input constraint. Computer simulations illustrate the validity and applicability.

Keywords

chaos; fuzzy control; nonlinear control systems; polynomials; stability; synchronisation; LMI-based approach; SOS-based stability condition; T-S fuzzy control; T-S fuzzy modeling; Takagi-Sugeno fuzzy system; chaotic system synchronization; decay rate; input constraint; linear matrix inequalities; polynomial fuzzy system; sum-of-squares approach; Chaotic communication; Educational institutions; Polynomials; Stability analysis; Symmetric matrices; Synchronization; Polynomial fuzzy system; chaotic system; decay rate; input constraint;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Theory and it's Applications (iFUZZY), 2012 International Conference on

Conference_Location

Taichung

Print_ISBN

978-1-4673-2057-3

Type

conf

DOI

10.1109/iFUZZY.2012.6409696

Filename

6409696