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Nonlinear observers for locally uniformly observable systems

Published online by Cambridge University Press:  15 September 2003

Hassan Hammouri  and
M. Farza
Hassan Hammouri
Affiliation:
LAGEP, UMR 5007 du CNRS, Université Lyon 1, ESCPE Lyon, bâtiment 308G, 43 boulevard du 11 novembre 1918, 69622 Villeurbanne Cedex, France; hammouri@lagep.cpe.fr.
M. Farza
Affiliation:
LAP, EA 2611, ISMRA, Université de Caen, 6 boulevard du Maréchal Juin, 14050 Caen Cedex, France.
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Abstract

This paper deals with the observability analysis and the observer synthesis of a class of nonlinear systems. In the single output case, it is known [4-6] that systems which are observable independently of the inputs, admit an observable canonical form. These systems are called uniformly observable systems. Moreover, a high gain observer for these systems can be designed on the basis of this canonical form. In this paper, we extend the above results to multi-output uniformly observable systems. Corresponding canonical forms are presented and sufficient conditions which permit the design of constant and high gain observers for these systems are given.

Keywords

Nonlinear systemsuniform observabilitynonlinear observer.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 9 , January 2003 , pp. 353 - 370
Copyright
© EDP Sciences, SMAI, 2003

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