Dissipative state formulations and numerical simulation of a porous medium for boundary absorbing control of aeroacoustic waves

Céline Casenave 1 Emmanuel Montseny 2
1 LAAS-MRS
LAAS - Laboratoire d'analyse et d'architecture des systèmes [Toulouse]
2 LAAS-DISCO - Équipe DIagnostic, Supervision et COnduite
LAAS - Laboratoire d'analyse et d'architecture des systèmes [Toulouse]
Abstract : The problem under consideration relates to a model of porous wall devoted to aircraft motor noise reduction. For such a medium, the parameters of the propagation equation depend on the frequency, so the corresponding time-model involves non rational convolution operators. Consequently, the impedance of the wall is a non rational function of the frequency. On the basis of complex analysis and causality properties, we introduce infinite dimensional state formulations of these operators. The coupling of the so-obtained model with a standard aeroacoustic one then leads to a time-local system the analysis of which is simplified thanks to the existence of an energy functional in the sense of which the global dissipativity is insured. Some numerical results are given to illustrate the theoretical results.
Keywords : porous medium aeroacoustic waves boundary control diffusive representation state representation non rational operators energy functional energy balance
Type de document :
Communication dans un congrès
17th IFAC World Congress, Jul 2008, Seoul, South Korea. pp.13432--13437, 2008, 〈10.3182/20080706-5-KR-1001.02275〉
Liste complète des métadonnées

Littérature citée [6 références]  Voir  Masquer  Télécharger
https://hal.inria.fr/hal-01061508
Contributeur : Céline Casenave <>
Soumis le : dimanche 7 septembre 2014 - 08:21:04
Dernière modification le : mercredi 28 février 2018 - 10:23:14
Document(s) archivé(s) le : lundi 8 décembre 2014 - 10:11:00

Fichier

Preprint_Casenave_et_Montseny_...
Fichiers produits par l'(les) auteur(s)

Identifiants

Collections

LAAS | LAAS-DISCO | LAAS-DECISION-ET-OPTIMISATION | UNIV-TLSE3 | TDS-MACS | INSA-TOULOUSE

Citation

Céline Casenave, Emmanuel Montseny. Dissipative state formulations and numerical simulation of a porous medium for boundary absorbing control of aeroacoustic waves. 17th IFAC World Congress, Jul 2008, Seoul, South Korea. pp.13432--13437, 2008, 〈10.3182/20080706-5-KR-1001.02275〉. 〈hal-01061508〉

Exporter

BibTeX TEI DC DCterms EndNote

Partager

Métriques

Consultations de la notice

137

Téléchargements de fichiers

59

Contact


archive-ouverte@inria.fr