Table of Contents
Journal of Nonlinear Dynamics
Volume 2014, Article ID 861727, 15 pages
Research Article

Control and Synchronization of Chaotic and Hyperchaotic Lorenz Systems via Extended Backstepping Techniques

1Nonlinear Dynamics Research Group, Department of Physics, Federal University of Agriculture, PMB 2240, Abeokuta, Nigeria
2Department of Physics, University of Lagos, Akoka, Lagos, Nigeria

Received 10 September 2013; Revised 15 November 2013; Accepted 17 November 2013; Published 6 May 2014

Academic Editor: Giovanni P. Galdi

Copyright © 2014 O. S. Onma 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.


We propose novel controllers for stabilization and tracking of chaotic and hyperchaotic Lorenz systems using extended backstepping techniques. Based on the proposed approach, generalized weighted controllers were designed to control chaotic behaviour as well as to achieve synchronization in chaotic and hyperchaotic Lorenz systems. The effectiveness and feasibility of the proposed weighted controllers were verified numerically and showed their robustness against noise.