Abstract: We studied self-adaptive sliding mode synchronization of fractional-order nonlinear chaotic system, and considered the outer disturbances and uncertainty. We gave the construction and  self-adaptive rules of sliding mode functions and controllers, and obtained the sufficient conditions for self-adaptive sliding mode synchronization of fractional-order nonlinear chaotic systems. The conclusions of the same order were extended to different cases, and the correctness of the conclusions was verified by using MATLAB numerical simulations.

Key words: fractional-order, nonlinear, sliding mode, synchronization