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


First Edition

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.


Paperback - In English 14.00 €

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Specifications


Publisher
Presses universitaires de Louvain
Title Part
Numéro 41
Author
Jonathan de Halleux,
Collection
Thèses de l'École polytechnique de Louvain
Language
English
Publisher Category
Applied Sciences
BISAC Subject Heading
TEC000000 TECHNOLOGY & ENGINEERING
Onix Audience Codes
06 Professional and scholarly
CLIL (Version 2013-2019)
3069 TECHNIQUES ET SCIENCES APPLIQUEES
Title First Published
2004
Type of Work
Thesis

Livre broché


Product Detail
1
Publication Date
23 July 2020
ISBN-13
0353809202005
Code
0353809202005
Dimensions
16 x 25 cm
List Price
12.00 €
ONIX XML
Version 2.1, Version 3

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