Fuzzy asymptotic lag synchronization of Nadolschi hyperchaotic systems with channel delays

In this paper, a T-S fuzzy synchronization method is proposed to synchronize two identical Nadolschi hyperchaotic systems with channel delays. Firstly, the T-S fuzzy model of the considered Nadolschi hyperchaotic system is constructed. The simple T-S fuzzy model with four IF-THEN rules can represent the hyperchaotic systems accurately. Then, a simple fuzzy state feedback controller is designed. By choosing appropriate controller gain matrices, the asymptotic lag synchronization can be reached. Finally, simulation results are given to verify the effectiveness of the proposed lag synchronization method.