Boundary Control of Quasi-Linear Hyperbolic Initial Boundary-Value Problem


Première édition

The thesis presents different control design approaches for stabilizing networks of quasi-linear hyperbolic partial differential equations. These equations are usually conservative, which gives them interesting properties to design stabilizing control laws.

Two main design approaches are developed: a methodology based on entropies and Lyapunov functions and a methodology based on the Riemann invariants. The stability theorems are illustrated using numerical simulations. Two practical applications of these methodologies are presented. Network of navigation channels are modelled using the Saint-Venant equation (also known as the Shallow Water Equations). The stabilization problem of such system has an industrial importance in order to satisfy the navigation constraints and to optimize the production of electricity in hydroelectric plants, usually located at each hydraulic gate. A second application deals with the regulation of water waves in moving tanks. This problem is also modelled by a modified version of the shallow water equations and appears in a number industrial fields which deal with liquid moving parts.


Livre broché - En anglais 14,00 €

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Spécifications


Éditeur
Presses universitaires de Louvain
Partie du titre
Numéro 41
Auteur
Jonathan de Halleux,
Collection
Thèses de l'École polytechnique de Louvain
Langue
anglais
Catégorie (éditeur)
Sciences appliquées
BISAC Subject Heading
TEC000000 TECHNOLOGY & ENGINEERING
Code publique Onix
06 Professionnel et académique
CLIL (Version 2013-2019 )
3069 TECHNIQUES ET SCIENCES APPLIQUEES
Date de première publication du titre
2004
Type d'ouvrage
Thèse

Livre broché


Date de publication
2004
ISBN-13
9782930344690
Ampleur
Nombre de pages de contenu principal : 142
Code interne
2930344695
Format
16 x 24 x 0,8 cm
Poids
244 grammes
Prix
14,00 €
ONIX XML
Version 2.1, Version 3

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