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The Scientific World Journal
Volume 2014, Article ID 935163, 5 pages
Research Article

Multisynchronization of Chaotic Oscillators via Nonlinear Observer Approach

1CINVESTAV-IPN, Avenida Instituto Politécnico Nacional 2508, 07360 San Pedro Zacatenco, DF, Mexico
2Academia de Mecatrónica, UPIITA-IPN, Avenida Instituto Politécnico Nacional 2580, Barrio La Laguna Ticomán, Gustavo A. Madero 07340, México. DF, Mexico

Received 15 August 2013; Accepted 28 October 2013; Published 21 January 2014

Academic Editors: G. Dai and Y. Hara

Copyright © 2014 Ricardo Aguilar-López 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.


The goal of this work is to synchronize a class of chaotic oscillators in a master-slave scheme, under different initial conditions, considering several slaves systems. The Chen oscillator is employed as a benchmark model and a nonlinear observer is proposed to reach synchronicity between the master and the slaves’ oscillators. The proposed observer contains a proportional and integral form of a bounded function of the synchronization error in order to provide asymptotic synchronization with a satisfactory performance. Numerical experiments were carried out to show the operation of the considered methodology.