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Exponential nonlinear observer for parametric identification and synchronization of chaotic systems
Authors:Lizeth Torres,Gildas Besanç  on,Didier Georges,Cristina Verde
Affiliation:1. Instituto de Ingeniería, UNAM, 04510 DF México, Mexico;2. Control systems Department of Grenoble Gipsa-lab, Grenoble Univ., BP 46, 38402 Saint-Martin d’Hères, France;3. Institut Universitaire de France, France
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.
Keywords:High gain observer   Extended Kalman filter   Synchronization   Parameter estimation   Chaotic systems
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