Mathematical Problems in Engineering
Volume 2009 (2009), Article ID 649401, 10 pages
doi:10.1155/2009/649401
Research Article

Robust Controller Design for Modified Projective Synchronization of Chen-Lee Chaotic Systems with Nonlinear Inputs

Jui-sheng Lin,1 Neng-Sheng Pai,2 and Her-Terng Yau2

1Department of Electrical Engineering, Far-East University, Tainan 744, Taiwan
2Department of Electrical Engineering, National Chin-Yi University of Technology, Taichung 411, Taiwan

Received 10 April 2009; Accepted 25 July 2009

Academic Editor: Mohammad Younis

Copyright © 2009 Jui-sheng Lin 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

This study demonstrates the modified projective synchronization in Chen-Lee chaotic system. The variable structure control technology is used to design the synchronization controller with input nonlinearity. Based on Lyapunov stability theory, a nonlinear controller and some generic sufficient conditions can be obtained to guarantee the modified projective synchronization, including synchronization, antisynchronization, and projective synchronization in spite of the input nonlinearity. The numerical simulation results show that the synchronization and antisynchronization can coexist in Chen-Lee chaotic systems. It demonstrates the validity and feasibility of the proposed controller.