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Adaptive fuzzy bilinear observer based synchronization design for generalized Lorenz system. (English) Zbl 1234.34012
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:
34A34Nonlinear ODE and systems, general
34D06Synchronization
93C40Adaptive control systems
37B25Lyapunov functions and stability; attractors, repellers
34A07Fuzzy differential equations
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