ISS Interval Observers for Nonlinear Systems Transformed Into Triangular Systems

Frédéric Mazenc 1 Olivier Bernard 2
1 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France, SUPELEC, CNRS - Centre National de la Recherche Scientifique : UMR8506
2 BIOCORE - Biological control of artificial ecosystems
INRA - Institut National de la Recherche Agronomique, CRISAM - Inria Sophia Antipolis - Méditerranée , LOV - Laboratoire d'océanographie de Villefranche
Abstract : Designing an interval observer with stability properties for nonlinear systems, which are not cooperative and not globally Lipschitz, is an open problem. This paper studies a general canonical structure for which interval observers with input to state stability (ISS) properties can be derived. This canonical block triangular nonlinear structure is rather general and may result from a change of coordinates or an output injection. We provide a general method for explicitly constructing framers for systems for which can be given such a structure. We also construct ISS interval observers when additional properties are satisfied. The systems we consider are in general not cooperative and not globally Lipschitz. We illustrate the constructions by designing a framer and an ISS interval observer for two models of bioreactors. Copyright © 2012 John Wiley & Sons, Ltd.
Keywords : interval observer robust estimation biological system
Type de document :
Article dans une revue
International Journal of Robust and Nonlinear Control, Wiley, 2014, 24 (7), pp.1241-1261. 〈10.1002/rnc.2937〉
Liste complète des métadonnées
https://hal.inria.fr/hal-01088143
Contributeur : Frederic Mazenc <>
Soumis le : jeudi 27 novembre 2014 - 14:41:07
Dernière modification le : mardi 4 décembre 2018 - 01:25:28

Lien texte intégral

istex

Identifiants

Collections

SUPELEC | SUP_LSS | SUP_SYSTEMES | INRIA | INRA | UPMC | INSU | L2S | SORBONNE-UNIVERSITE

Citation

Frédéric Mazenc, Olivier Bernard. ISS Interval Observers for Nonlinear Systems Transformed Into Triangular Systems. International Journal of Robust and Nonlinear Control, Wiley, 2014, 24 (7), pp.1241-1261. 〈10.1002/rnc.2937〉. 〈hal-01088143〉

Exporter

BibTeX TEI DC DCterms EndNote

Partager

Métriques

Consultations de la notice

538

Contact


archive-ouverte@inria.fr