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IEICE TRANSACTIONS on Fundamentals

T-S Fuzzy Model-Based Synchronization of Time-Delay Chaotic System with Input Saturation

Jae-Hun KIM, Hyunseok SHIN, Euntai KIM, Mignon PARK

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Summary :

This paper presents a fuzzy model-based approach for synchronization of time-delay chaotic system with input saturation. Time-delay chaotic drive and response system is respectively represented by Takagi-Sugeno (T-S) fuzzy model. Specially, the response system contains input saturation. Using the unidirectional linear error feedback and the parallel distributed compensation (PDC) scheme, we design fuzzy chaotic synchronization system and analyze local stability for synchronization error dynamics. Since time-delay in the transmission channel always exists, we also take it into consideration. The sufficient condition for the local stability of the fuzzy synchronization system with input saturation and channel time-delay is derived by applying Lyapunov-Krasovskii theory and solving linear matrix inequalities (LMI's) problem. Numerical examples are given to demonstrate the validity of the proposed approach.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E87-A No.12 pp.3372-3380
Publication Date
2004/12/01
Publicized
Online ISSN
DOI
Type of Manuscript
PAPER
Category
Systems and Control

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