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Discrete Dynamics in Nature and Society
Volume 2013, Article ID 732503, 6 pages
Research Article

Synchronization of an Uncertain Fractional-Order Chaotic System via Backstepping Sliding Mode Control

1College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266590, China
2State Key Laboratory for Novel Software Technology, Nanjing University, Nanjing 210093, China

Received 19 March 2013; Accepted 7 June 2013

Academic Editor: Sridhar Seshagiri

Copyright © 2013 Zhen Wang. 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.


Backstepping control approach combined with sliding mode control (SMC) technique is utilized to realize synchronization of uncertain fractional-order strict-feedback chaotic system. A backstepping SMC method is presented to compensate the uncertainty which occurs in the slave system. Moreover, the newly proposed control scheme is applied to implement synchronization of fractional-order Duffing-Holmes system. The simulation results demonstrate that the backstepping SMC method is robust against the modeling uncertainties and external disturbances.