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Abstract and Applied Analysis
Volume 2014, Article ID 517916, 8 pages
Research Article

Robust Synchronization of Fractional-Order Hyperchaotic Systems Subjected to Input Nonlinearity and Unmatched External Perturbations

1Department of Engineering Science, National Cheng Kung University, Tainan 70101, Taiwan
2Department of Computer and Communication, Shu-Te University, Kaohsiung City 82445, Taiwan

Received 3 January 2014; Accepted 22 March 2014; Published 10 April 2014

Academic Editor: Stanislaw Migorski

Copyright © 2014 Teh-Lu Liao 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.


This paper investigates the robust synchronization problem for a class of fractional-order hyperchaotic systems subjected to unmatched uncertainties and input nonlinearity. Based on the sliding mode control (SMC) technique, this approach only uses a single controller to achieve chaos synchronization, which reduces the cost and complexity for synchronization control implementation. As expected, the error states can be driven to zero or into predictable bounds for matched and unmatched perturbations, respectively, even with input nonlinearity.