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http://dx.doi.org/10.5391/JKIIS.2005.15.2.270

T-S Fuzzy Model-Based Adaptive Synchronization of Chaotic System with Unknown Parameters  

Kim, Jae-Hun (연세대학교 전기전자공학과)
Park, Chang-Woo (전자부품연구원 정밀기기연구센터)
Kim, Eun-Tai (연세대학교 전기전자공학과)
Park, Mignon (연세대학교 전기전자공학과)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.15, no.2, 2005 , pp. 270-275 More about this Journal
Abstract
This paper presents a fuzzy model-based adaptive approach for synchronization of chaotic systems which consist of the drive and response systems. Takagi-Sugeno (T-S) fuzzy model is employed to represent the chaotic drive and response systems. Since the parameters of the drive system are assumed unknown, we design the response system that estimates the parameters of the drive system by adaptive strategy. The adaptive law is derived to estimate the unknown parameters and its stability is guaranteed by Lyapunov stability theory. In addition, the controller in the response system contains two parts: one part that can stabilize the synchronization error dynamics and the other part that estimates the unknown parameters. Numerical examples, including Doffing oscillator and Lorenz attractor, are given to demonstrate the validity of the proposed adaptive synchronization approach.
Keywords
T-S fuzzy model; chaos synchronization; adaptive control; unknown parameter estimation;
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