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Zbl 1234.34012
Baek, Jaeho; Lee, Heejin; Kim, Seungwoo; Park, Mignon
Adaptive fuzzy bilinear observer based synchronization design for generalized Lorenz system. (English)
[J] Phys. Lett., A 373, No. 47, 4368-4375 (2009). ISSN 0375-9601

Summary: This Letter proposes an adaptive fuzzy bilinear observer (FBO) based synchronization design for generalized Lorenz system (GLS). The GLS can be described to TS fuzzy bilinear generalized Lorenz model (FBGLM) with their states immeasurable and their parameters unknown. We design an adaptive FBO based on TS FBGLM for synchronization. Lyapunov theory is employed to guarantee the stability of error dynamic system via linear matrix equalities (LMIs) and to derive the adaptive laws to estimate unknown parameters. Numerical example is given to demonstrate the validity of our proposed adaptive FBO approach for synchronization.

MSC 2000:: *34A34 Nonlinear ODE and systems, general
34D06
93C40 Adaptive control systems
37B25 Lyapunov functions and stability
34A07

Keywords: generalized Lorenz system; TS fuzzy bilinear model; fuzzy bilinear observer; adaptive synchronization

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