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The Scientific World Journal
Volume 2016, Article ID 8342089, 7 pages
http://dx.doi.org/10.1155/2016/8342089
Research Article

A New Finite-Time Observer for Nonlinear Systems: Applications to Synchronization of Lorenz-Like Systems

1CINVESTAV-IPN, Departamento de Biotecnología y Bioingeniería, Av. IPN 2508, Col. San Pedro Zacatenco, Del. Gustavo A. Madero, Ciudad de México, Mexico
2Instituto Politécnico Nacional, Unidad Profesional Interdisciplinaria en Ingeniería y Tecnologías Avanzadas, Academia de Mecatrónica, Av. IPN 2580, Col. Laguna Ticomán, Del. Gustavo A. Madero, Ciudad de México, Mexico

Received 8 April 2016; Revised 8 August 2016; Accepted 30 August 2016

Academic Editor: Oh-Min Kwon

Copyright © 2016 Ricardo Aguilar-López and Juan L. Mata-Machuca. 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

This paper proposes a synchronization methodology of two chaotic oscillators under the framework of identical synchronization and master-slave configuration. The proposed methodology is based on state observer design under the frame of control theory; the observer structure provides finite-time synchronization convergence by cancelling the upper bounds of the main nonlinearities of the chaotic oscillator. The above is showed via an analysis of the dynamic of the so called synchronization error. Numerical experiments corroborate the satisfactory results of the proposed scheme.