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Adaptive observer based synchronization of a class of uncertain chaotic systems. (English) Zbl 1165.34389
Summary: This study addresses the adaptive synchronization of a class of uncertain chaotic systems in the drive-response framework. For a class of uncertain chaotic systems with parameter mismatch and external disturbances, a robust adaptive observer based on the response system is constructed to practically synchronize the uncertain drive chaotic system. Lyapunov stability theory ensures the practical synchronization between the drive and response systems even if Lipschitz constants on function matrices and bounds on uncertainties are unknown. Numerical simulation of two illustrative examples are given to verify the effectiveness of the proposed method.
MSC:
34H05ODE in connection with control problems
34D05Asymptotic stability of ODE
34C28Complex behavior, chaotic systems (ODE)
93C40Adaptive control systems
93B07Observability