Generalized projective synchroization of time-delayed chaotic systems via sliding adaptive fuzzy control

In this paper, generalized projective synchronization (GPS) of two time-delayed chaotic systems using sliding adaptive fuzzy control (SAFC) is investigated. The proposed method combines the advantages of the adaptive control, fuzzy systems and sliding mode control theory. Lyapunov stability theory is employed to guarantee the stability of error dynamics. Assuming that the parameters of the chaotic drive system are unknown, recursive least square (RLS) method is applied to estimate these unknown parameters. Simulation results show the validity and effectiveness of the proposed method for synchronization of two identical and nonidentical time-delayed chaotic systems.