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Adaptive fuzzy synchronization for a class of uncertain chaotic systems having triangular structure based on high-gain observer

This paper addresses the synchronization problem of a class of uncertain chaotic systems with triangular structure based on adaptive high-gain observer. The states of the master chaotic system are not available for feedback. Based on the Lyapunov stability criterion, an observer is designed to estimate the states of the master system. Fuzzy logic systems are used to estimate the unknown nonlinear functions online, and a fuzzy high-gain based observer is constructed. Based on the backstepping approach, an adaptive fuzzy controller is designed recursively. Finally simulation studies are given to confirm our synchronization method.