Fault tolerant synchronization of chaotic systems with time delay based on the double event-triggered sampled control

This paper is concerned with the fault tolerant synchronization of the master-slave chaotic system. Based on the double event-triggered scheme, the sampled controller, which yellow includes the fault compensator and state feedback controller, is designed to achieve the fault tolerant synchronization. When the fault exceeds the threshold value, the fault compensator can eliminate its effect in synchronized chaotic system. The double event-triggered scheme is composed of the system trigger and fault trigger, which can judge whether or not the newly sampled signal should be transmitted to the fault compensator and state feedback controller. It can make more appropriate use of network resources and increase the robustness of synchronized chaotic system. Based on the input delay method, the solution of the controller is converted to guarantee the stability of chaotic errors system. By constructing the Lyapunov-Krasovskii functional and employing the Wirtingerbrk inequality, sufficient conditions for asymptotical stability of the chaotic error system are derived for achieving the fault tolerant synchronization through linear matrix inequality approach. Finally, a numerical simulation example is discussed to prove the practical utility of this method.