Lyapunov-Schmidt method dedicated to the observer analysis and design

Lyapunov-Schmidt method dedicated to the observer analysis and design

An analysis of observation error dynamics and an observer design are presented using the so-called Lyapunov-Schmidt method, firstly in order to analyze the solution's bifurcation of the observation error dynamics, and secondly in order to propose a robust observer with respect to such solution&...

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Main Authors: D. Benmerzouk, J. P. Barbot
Format: Article
Language:English
Published: Hindawi Limited 2006-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/MPE/2006/43681
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spelling doaj-66699b8da53b4474a76a31977bf835862020-11-25T00:29:16ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472006-01-01200610.1155/MPE/2006/4368143681Lyapunov-Schmidt method dedicated to the observer analysis and designD. Benmerzouk0J. P. Barbot1Département de Mathématique et d'Informatique, Institut de Mathèmatique, Université Abou Bekr Belkaid Tlemcen, BP 119, Tlemcen 13000, AlgeriaEquipe Commande des Systèmes (ECS)-EA 3649, ENSEA, 6 Avenue du Ponceau, Cergy-Pontoise Paris 95014, FranceAn analysis of observation error dynamics and an observer design are presented using the so-called Lyapunov-Schmidt method, firstly in order to analyze the solution's bifurcation of the observation error dynamics, and secondly in order to propose a robust observer with respect to such solution's bifurcation. Two numerical examples based on the Galerkin method show the pertinence of the proposed approach.http://dx.doi.org/10.1155/MPE/2006/43681
collection DOAJ
language English
format Article
sources DOAJ
author D. Benmerzouk
J. P. Barbot
spellingShingle D. Benmerzouk
J. P. Barbot
Lyapunov-Schmidt method dedicated to the observer analysis and design
Mathematical Problems in Engineering
author_facet D. Benmerzouk
J. P. Barbot
author_sort D. Benmerzouk
title Lyapunov-Schmidt method dedicated to the observer analysis and design
title_short Lyapunov-Schmidt method dedicated to the observer analysis and design
title_full Lyapunov-Schmidt method dedicated to the observer analysis and design
title_fullStr Lyapunov-Schmidt method dedicated to the observer analysis and design
title_full_unstemmed Lyapunov-Schmidt method dedicated to the observer analysis and design
title_sort lyapunov-schmidt method dedicated to the observer analysis and design
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2006-01-01
description An analysis of observation error dynamics and an observer design are presented using the so-called Lyapunov-Schmidt method, firstly in order to analyze the solution's bifurcation of the observation error dynamics, and secondly in order to propose a robust observer with respect to such solution's bifurcation. Two numerical examples based on the Galerkin method show the pertinence of the proposed approach.
url http://dx.doi.org/10.1155/MPE/2006/43681
work_keys_str_mv AT dbenmerzouk lyapunovschmidtmethoddedicatedtotheobserveranalysisanddesign
AT jpbarbot lyapunovschmidtmethoddedicatedtotheobserveranalysisanddesign
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