15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
APPROXIMATION, REDUCTION AND REALIZATION OF PASSIVE DELAY SYSTEMS
Nicolas Guijarro* Laurent Lefèvre** Geneviève Dauphin-Tanguy*
* L.A.I.L.
Ecole Centrale de Lille, Cité Scientifique, BP48
59651 Villeneuve d’Ascq Cedex France
{nicolas.guijarro,gdt}@ec-lille.fr
** Laboratoire d’Automatique de Grenoble (I.N.P.G.)
ESISAR, 50 rue Barthélémy de Laffemas, BP 54
26902 Valence Cedex 9 France
laurent.lefevre@esisar.inpg.fr

In this paper, a technique to approximate a class of passive delay systems by a bond graph model is investigated. This method is designed to preserve the passivity of the initial model. Through interconnections of passive elementary blocks (passivity is stable under interconnections), a finite dimensional passive approximant is constructed. This finite dimensional model, if need be, is reduced thanks to a Krylov-Lanczos process. Finally, a bond graph realization of this reduced-order model is given and an example demonstrates the usefulness of the whole approximation procedure.
Keywords: modelling, reduced-order models, passive elements, distributed models, delay elements, bond graphs
Session slot T-We-M18: Controller reduction and design/Area code 2b : Linear Systems