Table of Contents
ISRN Applied Mathematics
Volume 2013, Article ID 320180, 6 pages
http://dx.doi.org/10.1155/2013/320180
Research Article

Sliding Mode Control in Finite Time Stabilization for Synchronization of Chaotic Systems

1School of Computer Science and Software Engineering, Tianjin Polytechnic University, Tianjin 300387, China
2State Key Laboratory of Computer Science, Institute of Software, Chinese Academy of Sciences, Beijing 100190, China
3Tianjin Vocational Institute, Tianjin 300410, China

Received 1 August 2013; Accepted 16 September 2013

Academic Editors: M. Sun and L. Wu

Copyright © 2013 Zhan-Shan Zhao 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

An adaptive sliding mode control for chaotic systems synchronization is considered. The design of robust finite time convergent controller is based on geometric homogeneity and integral sliding mode manifold. The knowledge of the upper bound of the system uncertainties is not prior required. The chaos synchronization is presented to system stability based on the Lyapunov stability theory. The simulation results show the effectiveness of the proposed method.