musique contemporaine

Ircam - articles scientifiques notice originale

On the convergence of Volterra series of finite dimensional quadratic MIMO systems

Type

text
 

Genre(s)

article
 

Forme(s)

document numérique
 

Accès sur site

  • Version numérique intégrale de l'article
 

Cette ressource est disponible chez l'organisme suivant : Ircam - Centre Pompidou

Identification

Titre

On the convergence of Volterra series of finite dimensional quadratic MIMO systems
 

Nom(s)

Helie, Thomas (auteur)
 
Laroche, Béatrice (auteur)
 

Publication

2008
 

Description

Résumé

In this paper, the Volterra series decomposition of a class of quadratic, time invariant single-input finite dimensional systems is analyzed. The kernels are given by a recursive sequence of linear PDEs in the time domain, and an equivalent algebraic recursion in the Laplace domain. This is used to prove the convergence of the Volterra series to a (possibly weak) trajectory of the system, to provide a practicable value for the radius of convergence of the input in L^oo(R+) and to compute a guaranteed error bound in L^oo(R+) for the truncated series. The result is then extended to MIMO systems. A numerical simulation is performed on an academic SISO example, to illustrate how easily the truncated Volterra series can be implemented.
 

Note(s)

Article paru dans : International Journal of Control, special issue in Honor of Michel Fliess 60 th-birthday vol. 81 n°3
 

Localisation

Envoyer la notice

Bookmark and Share 
 

Identifiant OAI

 

Date de la notice

2010-02-25 01:00:00
 

Identifiant portail

 

Contact