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Mathematical Problems in Engineering
Volume 2015, Article ID 848203, 11 pages
Research Article

A Solution for the Generalized Synchronization of a Class of Chaotic Systems Based on Output Feedback

1Instituto Politécnio Nacional-CIC, Avenida Juan de Dios Bátiz, s/n, 07738 México, DF, Mexico
2Department of Automatic Control, CINVESTAV-IPN, Avenida Instituto Politécnico Nacional 2508, 07360 México, DF, Mexico
3Faculty of Sciences, Autonomous University of Baja California, Km. 103 Carretera Tijuana-Ensenada, 22860 Ensenada, BCN, Mexico
4Instituto Politécnio Nacional-ESCOM, Avenida Juan de Dios Bátiz Esquina Miguel Othón de Mendizábal, 07738 México, DF, Mexico

Received 9 June 2015; Revised 4 September 2015; Accepted 6 September 2015

Academic Editor: Rafael Morales

Copyright © 2015 Carlos Aguilar-Ibanez 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.


A solution to the output-feedback generalized synchronization problem for two chaotic systems, namely, the master and the slave, is presented. The solution assumes that the slave is controlled by a single input, and the states of each system are partially known. To this end, both systems are expressed in their corresponding observable generalized canonical form, through their differential primitive element. The nonavailable state variables of both systems are recovered using a suitable Luenberger observer. The convergence analysis was carried out using the linear control approach in conjunction with the Lyapunov method. Convincing numerical simulations are presented to assess the effectiveness of the obtained solution.