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Mathematical Problems in Engineering
Volume 2016, Article ID 7404652, 7 pages
http://dx.doi.org/10.1155/2016/7404652
Research Article

Synchronization for a Class of Uncertain Fractional Order Chaotic Systems with Unknown Parameters Using a Robust Adaptive Sliding Mode Controller

Department of Mathematics and Physics, North China Electric Power University, 619 Yonghua North Street, Baoding, Hebei 071003, China

Received 10 March 2016; Revised 16 May 2016; Accepted 30 May 2016

Academic Editor: Riccardo Caponetto

Copyright © 2016 Yan Yan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper deals with the synchronization of a class of fractional order chaotic systems with unknown parameters and external disturbance. Based on the Lyapunov stability theory, a fractional order sliding mode is constructed and a controller is proposed to realize chaos synchronization. The presented method not only realizes the synchronization of the considered chaotic systems but also enhances the robustness of sliding mode synchronization. Finally, some simulation results demonstrate the effectiveness and robustness of the proposed method.