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Journal of Control Science and Engineering
Volume 2011, Article ID 524602, 9 pages
Research Article

Slave System Dimension Expansion Approach for Robust Synchronization of Chaotic Systems with Unknown Phase Difference

1Department of Computer Science and Engineering, Chongqing University, Chongqing 400030, China
2Departement of Logistics Engineering, Wuhan University of Technology, Hubei 430070, China

Received 18 September 2010; Revised 21 January 2011; Accepted 25 February 2011

Academic Editor: Onur Toker

Copyright © 2011 Huanhuan Mai 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.


A technique which increased the dimension of slave system is adopted for robust synchronization of chaotic systems with unknown phase difference. The phase difference plays a great role in variation of dynamic behavior of the coupled systems. The phase difference of the sinusoidal forcing term is always assumed to be known in the majority of the existing literature. However, unknown parameter error value has always existed in real problems. This method uses the properties of the triangular function and increases the number of dimensions in the slave system to match the phase of forcing term in the master system. Numerical simulations show that the flexible control variable we first investigated is very important. We expect our results to be of some broader applicabilities.