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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Bibliographic Details
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
Description
Summary: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.
ISSN:1024-123X
1563-5147