Laguerre-Gram Reduced-Order Modeling - Université de Bretagne Occidentale Access content directly
Journal Articles IEEE Transactions on Automatic Control Year : 2005

Laguerre-Gram Reduced-Order Modeling

Abstract

We present an efficient model reduction procedure based on the Laguerre description of the system to be approximated. Using a one-order operator defined in the Laplace domain we construct a pencil of functions and formulate the problem as the minimization of the ( L²) criterion. The use of a weight function in the inner product definition allows a control of the time-error spreading in model reduction procedure. We show how the required Gram matrix can be computed efficiently and prove that the impulse response of the reduced model is also in ( L²). The transfer function approach allows an immediate and promising application in model reduction of infinite dimensional systems. An extension to multiple-input-multiple-output systems is also given.
Fichier principal
Vignette du fichier
LaguerreGram_ReducedOrderModeling.pdf (135.41 Ko) Télécharger le fichier
Origin Files produced by the author(s)
Loading...

Dates and versions

hal-00424216 , version 1 (20-02-2014)

Identifiers

Cite

Ahmed Amghayrir, Noël Tanguy, Pascale Bréhonnet, Pierre Vilbé, Léon-Claude Calvez. Laguerre-Gram Reduced-Order Modeling. IEEE Transactions on Automatic Control, 2005, 50 (9), pp.1432-1435. ⟨10.1109/TAC.2005.854653⟩. ⟨hal-00424216⟩
234 View
443 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More