A general synchronization approach for fuzzy chaotic systems based on impulsive differential theory

This paper provides a novel general impulsive synchronization scheme for fuzzy chaotic systems in the form of T-S models. Based on the impulsive differential theory and Lyapunov stability theory, the criteria for the exponential and asymptotical stability of the synchronization error system at the origin are derived. The proposed impulsive synchronization scheme has a simple control structure and need less control energy than other continuous ones for the synchronization of T-S fuzzy chaotic systems. Furthermore, it is suitable for the synchronization problem of most kinds of chaotic or hyperchaotic systems. Simulation results demonstrate the effectiveness of the proposed synchronization method.