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

Kim Jae-Hun (Dept. of Electrical and Electronic Eng., Yonsei University)
Shin Hyunseok (DM Research Lab., LG Electronics Inc.)
Kim Euntai (Dept. of Electrical and Electronic Eng., Yonsei University)
Park Mignon (Dept. of Electrical and Electronic Eng., Yonsei University)
Publication Information
Journal of the Institute of Electronics Engineers of Korea SC / v.42, no.1, 2005 , pp. 13-21 More about this Journal
Abstract
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 time-delay is derived by applying Lyapunov-Krasovskii theory and solving linear matrix inequalities (LMI's) problem. A numerical example is given to demonstrate the validity of the proposed approach.
Keywords
T-S fuzzy model; chaos synchronization; time-delay; input saturation; LMI;
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