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Mathematical Problems in Engineering
Volume 2015, Article ID 850612, 6 pages
http://dx.doi.org/10.1155/2015/850612
Research Article

Chaos Synchronization of Two Chaotic Nonlinear Gyros Using Backstepping Design

School of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210003, China

Received 28 September 2015; Revised 17 November 2015; Accepted 26 November 2015

Academic Editor: Jonathan N. Blakely

Copyright © 2015 Rostand M. Davy Loembe-Souamy 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

We investigate the chaos synchronization of two certain chaotic gyros using the backstepping approach. We design a simple controller and verify the stability of the error system by using proper Lyapunov functions. The designed control laws ensure stable controlled and synchronized states for two chaotic nonlinear gyros. Numerical simulations are implemented for illustration and verification of the effectiveness of the backstepping technique.