Approximation of linear distributed parameter systems by delay systems
| Autor: | Michael Di Loreto, Damien Eberard, Xavier Brun, Sérine Damak |
|---|---|
| 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), ANR-11-JS03-0004,AIDS,Approximation des Systèmes de Dimension Infinie(2011) |
| Rok vydání: | 2016 |
| Předmět: |
Time-delay systems
0209 industrial biotechnology Work (thermodynamics) Partial differential equation Numerical analysis 010102 general mathematics 02 engineering and technology 01 natural sciences Constructive Stabilization [SPI.AUTO]Engineering Sciences [physics]/Automatic 020901 industrial engineering & automation Coprime factorization Control and Systems Engineering Distributed parameter system Control theory Distributed parameter systems Topological graph theory Applied mathematics 0101 mathematics Electrical and Electronic Engineering Approximation Realization (systems) Mathematics |
| Zdroj: | Automatica Automatica, Elsevier, 2016, 68, pp.162-168. ⟨10.1016/j.automatica.2016.01.065⟩ |
| ISSN: | 0005-1098 |
| Popis: | International audience; The present work addresses continuous-time approximation of distributed parameter systems governed by linear one-dimensional partial differential equations. While approximation is usually realized by lumped systems, that is finite dimensional systems, we propose to approximate the plant by a time-delay system. Within the graph topology, we prove that, if the plant admits a coprime factorization in the algebra of BIBO-stable systems, any linear distributed parameter plant can be approximated by a time-delay system, governed by coupled differential–difference equations. Considerations on stabilization and state- space realization are carried out. A numerical method for constructive approximation is also proposed and illustrated. |
| Databáze: | OpenAIRE |
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