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

  • Magali KLEFFERT

    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), Andre 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