Adaptive sliding mode synchronisation for fractional‐order non‐linear systems in the presence of time‐varying actuator faults

This paper presents an adaptive sliding mode synchronisation scheme for a class of fractional order non‐linear systems in the presence of unknown parameters, actuator faults and disturbances. The designed adaptive controller compensates a general class of actuator faults without the need for any explicit fault detection. The parameters, times and patterns of the considered faults are completely unknown. The proposed adaptive sliding mode synchronisation scheme can guarantee the asymptotic convergence of the synchronisation errors to the origin despite the presence of actuator faults and uncertainties. The simulation results show the correctness and effectiveness of the proposed adaptive sliding mode fault compensation approach.