Study on Chaotic Fault Tolerant Synchronization Control Based on Adaptive Observer

Abstract

Aiming at the abrupt faults of the chaotic system, an adaptive observer is proposed to trace the states of the master system. The sufficient conditions for synchronization of such chaotic systems are also derived. Then the feasibility and effectiveness of the proposed method are illustrated via numerical simulations of chaotic Chen system. Finally, the proposed synchronization schemes are applied to secure communication system successfully. The experimental results demonstrate that the employed observer can manage real-time fault diagnosis and parameter identification as well as states tracing of the master system, and so the synchronization of master system and slave system is achieved.

Chaotic Tolerant Synchronization Analysis with Propagation Delay and Actuator Faults

“…After the extended transformation ( ) → ( ), system (7) is turned into system (12). Based on the Lyapunov functional in [15][16][17][18][19][20][21], we take Lyapunov functional…”

“…But, in practical chaotic secure communication systems, sensors, actuators, and inner components may inevitably fail, which can lead to sharp performance decline of chaotic secure. For the reason, fault tolerant synchronization and control [14][15][16][17][18][19][20] of chaotic systems have been the hot topic of intensive researches recently.…”