Adaptive Observer for a Class of Parabolic PDEs

Tarek Ahmed-Ali; Fouad Giri; Laurent Burlion; Miroslav Krstic; Françoise Lamnabhi-Lagarrigue

doi:10.1109/tac.2015.2500237

Adaptive Observer for a Class of Parabolic PDEs

Tarek Ahmed-Ali Fouad Giri ¹ Laurent Burlion ² Miroslav Krstic Françoise Lamnabhi-Lagarrigue ³

1 Equipe Automatique - Laboratoire GREYC - UMR6072

GREYC - Groupe de Recherche en Informatique, Image, Automatique et Instrumentation de Caen

2 Toulouse - ONERA - The French Aerospace Lab

3 L2S - Laboratoire des signaux et systèmes

Abstract : The problem of state observation, based on spatially-sampled output measurements, is addressed for a class of infinite dimensional systems, modelled by a semi-linear heat equation augmented with a structured uncertain part involving a set of unknown parameters. An adaptive observer is designed that provides online estimates of the system (spatially distributed) state and unknown parameters based on sampled data (in space). Sufficient conditions for the observer to be exponentially convergent are established. These include an ad-hoc persistent excitation condition as well as a condition on how the observer gain must be selected in relation with the space sampling interval.

Type de document :

Article dans une revue

IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2016, 61 (10), pp.3083-3090. 〈10.1109/tac.2015.2500237 〉

Domaine :

Informatique [cs]

Sciences de l'ingénieur [physics] / Automatique / Robotique

Liste complète des métadonnées

https://hal-centralesupelec.archives-ouvertes.fr/hal-01260172
Contributeur : Myriam Baverel <>
Soumis le : jeudi 21 janvier 2016 - 16:03:02
Dernière modification le : mardi 24 avril 2018 - 01:45:36

Adaptive Observer for a Class of Parabolic PDEs

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Adaptive Observer for a Class of Parabolic PDEs

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