Towards Integrating Hybrid DAEs with a High-Index DAE Solver

Nedialko S. Nedialkov 1 Nacim Ramdani 2, *
* Auteur correspondant
2 COPRIN - Constraints solving, optimization and robust interval analysis
CRISAM - Inria Sophia Antipolis - Méditerranée , ENPC - École des Ponts ParisTech
Abstract : J.D. Pryce and N.S. Nedialkov have developed a Taylor series method and a C++ package, DaeTs, for solving numerically an initial-value problem differential-algebraic equation (DAE) that can be of high index, high order, nonlinear, and fully implicit. Numerical results have shown this method to be efficient and very accurate, and particularly suitable for problems that are of too high an index for present DAE solvers. However, DaeTs cannot be applied to systems of DAEs that change at points it time, also called hybrid or multi-mode DAEs. This paper presents methods for extending Daets with the capability to integrate hybrid DAEs. Methods for event location and consistent initializations are given. Daets is applied to simulate a model of a parallel robot: a hybrid system of index-3 DAEs with closed-loop control.
Type de document :
Rapport
[Research Report] RR-6834, INRIA. 2009, pp.16
Liste complète des métadonnées

Littérature citée [16 références]  Voir  Masquer  Télécharger

https://hal.inria.fr/inria-00360999
Contributeur : Nacim Ramdani <>
Soumis le : vendredi 13 février 2009 - 09:47:25
Dernière modification le : samedi 7 avril 2018 - 01:18:09
Document(s) archivé(s) le : mardi 8 juin 2010 - 22:20:47

Fichier

RR-6834.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : inria-00360999, version 1

Collections

Citation

Nedialko S. Nedialkov, Nacim Ramdani. Towards Integrating Hybrid DAEs with a High-Index DAE Solver. [Research Report] RR-6834, INRIA. 2009, pp.16. 〈inria-00360999〉

Partager

Métriques

Consultations de la notice

227

Téléchargements de fichiers

172