Journal of Applied Mathematics
Volume 2013 (2013), Article ID 321253, 11 pages
http://dx.doi.org/10.1155/2013/321253
Research Article

Robust Synchronization of Incommensurate Fractional-Order Chaotic Systems via Second-Order Sliding Mode Technique

Hua Chen,1 Wen Chen,2,3 Binwu Zhang,1 and Haitao Cao1

1Mathematics and Physics Department, Hohai University, Changzhou Campus, Changzhou 213022, China
2College of Mechanics and Materials, Hohai University, Nanjing 210098, China
3State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210098, China

Received 21 February 2013; Revised 15 June 2013; Accepted 23 June 2013

Academic Editor: Kai Diethelm

Copyright © 2013 Hua Chen et al. 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

A second-order sliding mode (SOSM) controller is proposed to synchronize a class of incommensurate fractional-order chaotic systems with model uncertainties and external disturbances. Based on the chattering free SOSM control scheme, it can be rigorously proved that the dynamics of the synchronization error is globally asymptotically stable by using the Lyapunov stability theorem. Finally, numerical examples are provided to illustrate the effectiveness of the proposed controller design approach.