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Fault tolerant synchronization for a class of uncertain chaotic systems versus external disturbances using fuzzy sliding mode control

In this paper, fault tolerant synchronization (FTS) for a class of uncertain chaotic systems is investigated. The FTS system is to increase the safety and reliability of synchronization when the slave system is subjected to actuator and sensor faults. In this paper, the faulty slave system is considered with model uncertainty and external disturbances. A sliding surface is adopted to ensure the stability of the synchronization dynamics and employed to design a fuzzy control system. Based on Lyapunov stability theory and fuzzy rules, the nonlinear controller and some generic sufficient conditions for global asymptotic synchronization are attained. The fuzzy rules are directly constructed subject to a defined Lyapunov function such that the synchronization error dynamics of two identical chaotic motions satisfy stability in the Lyapunov sense. The fuzzy sliding control system can compensate the actuator faults, model uncertainties, and disturbances occurred in the slave system. The proposed method is applied to two chaotic systems; Genesio and Duffing systems. Numerical simulation results demonstrate the validity and feasibility of the proposed FTS method.