Definition of Essential Order on Descriptor Systems and its Bond Graph Determination
| Autor: | Julien Lagnier, Damien Eberard, Wilfrid Marquis-Favre, Didier Rémond, Michael Di Loreto |
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| Přispěvatelé: | Ampère, Département Méthodes pour l'Ingénierie des Systèmes (MIS), Ampère (AMPERE), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE)-École Centrale de Lyon (ECL), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE), Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne] (LaMCoS), Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Université de Lyon-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Discrete mathematics
Descriptor Systems 0209 industrial biotechnology Descriptor systems Inverse Model Inverse Algebraic extension 010103 numerical & computational mathematics 02 engineering and technology Structural Analysis 01 natural sciences Transfer matrix Bicausal Bond Graph [SPI.AUTO]Engineering Sciences [physics]/Automatic 020901 industrial engineering & automation Specification Matrix pencil 0101 mathematics Invariant (mathematics) Structure at Infinity Bond graph Generalized Essential Order (GEO) Mathematics |
| Zdroj: | Proceedings of the International Conference on Bond Graph Modeling and Simulation ICBGM'16, International Conference on Bond Graph Modeling and Simulation ICBGM'16, International Conference on Bond Graph Modeling and Simulation, Jul 2016, Montréal, Canada. pp.133-142, ⟨10.22360/SummerSim.2016.ICBGM.015⟩ ICBGM@SummerSim |
| Popis: | International audience; In the context of model inversion, a structural invariant of the transfer matrix, the essential order, is used as a model specification criterion to determine the highest time-differentiation order reached by an output in the inverse model. Originally defined for linear time-invariant (LTI) regular systems, we propose an algebraic extension to the class of LTI descriptor systems with regular matrix pencil and show that, from a descriptor system inversion viewpoint, this invariant characterizes the highest time-differentiation of the output like in the regular case. A bond graph determination procedure on the direct model is given using (bi)causal path inspection and the notion of families of different causal paths. |
| Databáze: | OpenAIRE |
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