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 dAscq Cedex France {nicolas.guijarro,gdt}@ec-lille.fr
** Laboratoire dAutomatique 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

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