Original article: Exponential nonlinear observer for parametric identification and synchronization of chaotic systems

Authors:
Lizeth Torres;Gildas Besançon;Didier Georges;Cristina Verde
Affiliations:
Instituto de Ingeniería, UNAM, 04510 DF México, Mexico;Control systems Department of Grenoble Gipsa-lab, Grenoble Univ., BP 46, 38402 Saint-Martin d'Hères, France and Institut Universitaire de France, France;Control systems Department of Grenoble Gipsa-lab, Grenoble Univ., BP 46, 38402 Saint-Martin d'Hères, France;Instituto de Ingeniería, UNAM, 04510 DF México, Mexico
Venue:
Mathematics and Computers in Simulation
Year:
2012

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Abstract

This work proposes the use of a new exponential nonlinear observer for the purpose of parametric identification and synchronization of chaotic systems. The exponential convergence of the observer is guaranteed by a persistent excitation condition. This approach is shown to be suitable for a wide variety of chaotic systems. In order to illustrate the observer design procedure, several examples with simulation results are presented.