Table of Contents
Journal of Nonlinear Dynamics
Volume 2016, Article ID 3512917, 9 pages
http://dx.doi.org/10.1155/2016/3512917
Research Article

Finite-Time Synchronization for Uncertain Master-Slave Chaotic System via Adaptive Super Twisting Algorithm

1Department of Mathematics, Faculty of Science, Kasetsart University, Bangkok 10900, Thailand
2Department of Mathematics, Faculty of Applied Science, King Mongkut’s University North Bangkok, Bangkok 10800, Thailand

Received 23 March 2016; Accepted 2 June 2016

Academic Editor: Marius-F. Danca

Copyright © 2016 P. Siricharuanun and C. Pukdeboon. 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

A second-order sliding mode control for chaotic synchronization with bounded disturbance is studied. A robust finite-time controller is designed based on super twisting algorithm which is a popular second-order sliding mode control technique. The proposed controller is designed by combining an adaptive law with super twisting algorithm. New results based on adaptive super twisting control for the synchronization of identical Qi three-dimensional four-wing chaotic system are presented. The finite-time convergence of synchronization is ensured by using Lyapunov stability theory. The simulations results show the usefulness of the developed control method.