Synchronization of unidirectional coupled chaotic systems with unknown channel time-delay: Adaptive robust observer-based approach

In this paper, an adaptive robust observer-based scheme for the synchronization of unidirectional coupled chaotic systems with unknown channel time-delay and system uncertainties is proposed. The effects of time-delay arise from the physical characteristics of coupled channel, while the system uncertainties arise due to unknown but bounded external disturbances and parametric perturbations. By appropriately selecting the observer controller and adaptation mechanism, the master–slave chaotic synchronization can be guaranteed by Lyapunov approach. Finally, the Chua’s circuit is used as an illustrative example, where simulation results are given to demonstrate the effectiveness of the proposed scheme.