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Adaptive Fuzzy Bilinear Synchronization Control Design for Uncertain $L\ddot{u}$ Chaos System  

Baek, Jae-Ho (ICS Lab., Dept. of Electrical and Electronic Eng., Yonsei University)
Lee, Hee-Jin (Dept. of Information and Control Eng., Institute for Information Technology Convergence, Hankyung National University)
Park, Mig-Non (ICS Lab., Dept. of Electrical and Electronic Eng., Yonsei University)
Publication Information
Journal of the Institute of Electronics Engineers of Korea CI / v.47, no.3, 2010 , pp. 59-66 More about this Journal
Abstract
This paper is proposed an adaptive fuzzy bilinear synchronization design for uncertain $L\ddot{u}$ chaos system. It is assumed that the $L\ddot{u}$ chaos system has unknown parameters. First, The $L\ddot{u}$ chaos system can be reconstructed via TS fuzzy bilinear modeling. We design an adaptive fuzzy bilinear synchronization control scheme based on TS fuzzy bilinear $L\ddot{u}$ chaos system with uncertain parameters. Lyapunov theory is employed to guarantee the stability of error dynamic system between TS fuzzy bilinear $L\ddot{u}$ chaos system and the proposed slave system and to derive the adaptive laws for estimating unknown parameters. Simulation results is given to demonstrate the validity of our proposed synchronization scheme.
Keywords
$L\ddot{u}$ chaos system; Fuzzy systems; Adaptive fuzzy bilinear synchronization; Lyapunov Stability; TS fuzzy bilinear model;
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