%0 Journal Article %T Lyapunov-Schmidt method dedicated to the observer analysis and design %A D. Benmerzouk %A J. P. Barbot %J Mathematical Problems in Engineering %D 2006 %I Hindawi Publishing Corporation %R 10.1155/mpe/2006/43681 %X 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. %U http://www.hindawi.com/journals/mpe/2006/043681/abs/