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L'école d'ingénieur en systèmes avancés et réseaux

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Automatique des systèmes à paramètres distribués - 5AMAC561

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  • Volumes horaires

    • CM : 18.0
    • TD : 3.0
    • TP : 6.0
    Crédits ECTS : 2.5

Objectifs

This course is an introduction to distributed parameters systems i.e. systems governed by state space partial differential equations. Rather than a formal introduction to the theory (semigroup approach), we prefer an intuitive and operational introduction to basic definitions from partial differential equations and reduction/discretization methods. Then the students are requested to develop a project which includes a modelling, a numerical and a control parts on an example selected jointly with the teacher.

Contact Laurent LEFEVRE

Contenu

Basic definitions regarding partial differential equations (PDEs) - State space modelling with PDEs, including classical systems of conservation laws and port-based approaches - Discretization and spatial reduction methods (finite difference schemes, pseudo-spectral methods, frequency domain approaches) - student project. Examples from previous projects subjects are: membranes (electro-accoustic speakers) or beam (vibrations) control problems, diffusion problems (counterfeit money detection and localization, heat diffusion control, disease propagation and epidemiology), population dynamics (spatially distributed prey-predators models, ecosystems management, population age distribution), plasma control problems, shallow water flows and water management problems, traffic control, …



Prérequis

Analyse numérique (MA347)
AC321 : représentation d'état

Contrôles des connaissances

E1: Evaluation par projet
Matière non rattrapable



Informations complémentaires

Cursus ingénieur->Filière EIS->Semestre 5

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mise à jour le 25 juin 2015

Grenoble INP Institut d'ingénierie Univ. Grenoble Alpes