Chaos and its synchronization has become a hot topic. With the need of fractional-order chaotic system modeling

many results have been achieved in the synchronization control of fractional low-order chaotic systems. Studies on the synchronization control of fractional high-dimensional chaotic systems at home and abroad are still very rare. In this paper

the influence of uncertainties and external disturbances is considered. The self-adaptive sliding mode synchronization of high-dimension fractional-order chaotic systems is studied based on self-adaptive sliding mode methods. The sliding mode functions are funded and controllers are designed based on synchronization control theory. The sufficient conditions are obtained for high-dimension fractional-order uncertain chaotic systems getting self-adaptive sliding mode synchronization. The conclusion demonstrate that high-dimension fractional-order uncertain chaotic systems can get self-adaptive sliding mode synchronization under appropriate sliding mode functions

controllers and adaptive rules. And we extend the conclusions of fractional-order high-dimension uncertain chaotic system to integer-order. The sufficient conditions for fractional-order high-dimension chaotic systems getting sliding mode synchronization are verified to be correct using numerical simulation examples.