Régulation de canaux par linéarisation et discrétisation des équations de Saint-Venant

Student thesis: Master typesMaster in Mathematics

Abstract

The subject of this master thesis deals, on the one hand with the Saint-Venant equation, and on the other hand with the stabilization problem of open-channel hydraulic systems modelized by these equations. The first part is devoted to the study of these equations. The assumptions leading to these equations are developped, together with the corresponding boundary conditions, and their physical interpretation. The second part is concerned with the system modelized by these equations. The hydrodynamics of such a system are governed by these non linear partial differential equations. The stabilization problem is studied for such system by means of linear control with state feedback and estimated state feedback. In the purpose of using these controls, the system is approximated by a linear finite dimensional system obtained by linearization around a fixed equilibrium state and by spatial discretization. Control methods are applied to the system for different types of initial conditions.
Date of Award18 Jan 2011
Original languageFrench
SupervisorJoseph Winkin (Supervisor), Timoteo Carletti (Jury), André Fuzfa (Jury) & Anne Lemaitre (Jury)

Cite this

Régulation de canaux par linéarisation et discrétisation des équations de Saint-Venant
KLEFFERT, M. (Author). 18 Jan 2011

Student thesis: Master typesMaster in Mathematics