Synchronization of Discrete-Time Chaotic Systems Based on Takagi-Sugeno Fuzzy Model

This paper proposes a new fuzzy control scheme for synchronization of discrete-time chaotic systems based on Takagi-Sugeno (T-S) fuzzy model and parallel distributed compensation (PDC). Some simple but generic criteria for synchronization of discrete-time chaotic systems are derived. The proposed scheme offers systematic design method for synchronization of discrete-time chaotic/hyperbolic systems, which implies much complicated high-order chaotic systems can be used to improve the security in chaos communications. The technique has been successfully applied to 3D generalized Henon map. Numerical simulations verify the effectiveness and feasibility of the proposed method.