Abstract：A sliding mode controller is proposed for the adaptive synchronization of a class of fractional-order four-wings chaotic systems with uncertainties.The Caputo' s fractional derivative is adopted. A non-singular fractional-order sliding surface is introduced and a fractional-order controller is created to obtain the sufficient conditions for chaotic systems. Research shows that the chaos synchronization is achieved for master-slave systems of fractional-order uncertainty four-wings chaotic systems when proper fractional-order sliding mode surface and controllers chosen.In the paper the strict proof and reasoning process are given and a numerical simulation is presented to verifies the efficacy of the scheme presented.
2018, Vol. 52 
