2935 articles  [english version]
HAL : hal-00366232, version 1

Fiche concise  Récupérer au format
Dynamic practical stabilization of sampled-data linear distributed parameter systems
Tan Y., Trélat E., Chitour Y., Nesic D.
http://hal.archives-ouvertes.fr/hal-00366232
Preprint, Working Paper, Document sans référence, etc.
Mathématiques/Equations aux dérivées partielles
Mathématiques/Analyse numérique
Dynamic practical stabilization of sampled-data linear distributed parameter systems
Ying Tan () 1, Emmanuel Trélat () 2, Yacine Chitour 3, Dragan Nesic () 1
1 :  Electrical and Electronic Engineering Department
The University of Melbourne
VIC 3010, Australia
Australie
2 :  Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO)
http://www.univ-orleans.fr/mapmo/
Université d'Orléans – CNRS : UMR7349
Fédération Denis Poisson, Bâtiment de Mathématiques, B.P. 6759, 45067 Orléans cedex 2
France
3 :  Laboratoire de Mathématiques d'Orsay (LM-Orsay)
http://www.math.u-psud.fr
CNRS : UMR8628 – Université Paris XI - Paris Sud
France
In this paper, dynamic practical stability properties of infinite-dimensional sampled-data systems are discussed. A family of finite-dimensional discrete-time controllers are first designed to uniformly exponentially stabilize numerical approximate models that are obtained from space and time discretization. Sufficient conditions are provided to ensure that these controllers can be used to drive trajectories of infinite-dimensional sampled-data systems to a neighborhood of the origin by properly tuning the sampling period, space and time discretization parameters and choosing an appropriate filtering process for initial conditions.
Anglais
2009

Liste des fichiers attachés à ce document : 
PDF
CDC_sampled09.pdf(164.5 KB)