Adaptive observer based fault-tolerant chaotic synchronization comunication design

This paper deals with the fault tolerant adaptive synchronization problem of the drive-driven type chaotic systems via a scalar transmitted signal. Given certain structural conditions of chaotic systems, a fault tolerant adaptive observer-based driven system is presented to synchronize the drive system whose dynamics are affected by the system´s disturbances, some unknown parameters and loss of effectiveness in actuator. By appropriately selecting the observer gains, the synchronization and stability of the overall systems can be achieved by an Lyapunov-like analysis. Finally, a well-known chaotic systems-Chua´s circuit is considered as an illustrative example to demonstrate the effectiveness of the proposed scheme.