Predictive Projective Synchronization of Fractional-order Chaotic Systems Based on Takagi-Sugeno Fuzzy Models

In this study, we investigated the projective synchronization problem of fractional-order chaotic systems. Based on the Takagi-Sugeno (T-S) fuzzy model and prediction-based feedback control, we propose a new fuzzy predictive projective synchronization method for synchronizing fractional-order chaotic systems. To derive the predictive projective synchronization criteria of fractional-order chaotic systems, we use the fractional-order Lyapunov direct method. Compared with existing methods, this derived method has the advantages of a simple structure, low control cost and high generality. Furthermore, this method can be applied to a large class of fractional-order chaotic systems, as identified in the chaos research literature. We employ two fractional-order chaotic systems to demonstrate the effectiveness of the proposed projective synchronization method.