Stabilisation par backstepping de systèmes à paramètres répartis

  • Denis NOËL

Student thesis: Master typesMaster in Mathematics

Abstract

The subject of this thesis consists in a heuristic approach of the stabilization of dynamical described systems by the backstepping method. In the introduction, the backstepping method is presented in the framework of ordinary differential equations to enable a better understanding of what the backstepping fundamentally is. This method is then applied to distributed parameter systems (described by partial differential equations) with an increasing complexity. The first of these systems is a system whose dynamics are described by a reaction-diffusion equation with constants coefficients which is a direct extension of the introducting example. The most complicated one is described by a reaction-advection-diffusion equation with variable coefficients. The different cases studied in the previous chapter lead to a backstepping controller for a model of biochemical reactor by means of analytical and numerical developments described in the last chapter.
Date of Award30 Aug 2010
Original languageFrench
SupervisorJoseph WINKIN (Supervisor), Bouchra Abouzaid (Jury), Philippe TOINT (Jury) & Anne LEMAITRE (Jury)

Cite this

Stabilisation par backstepping de systèmes à paramètres répartis
NOËL, D. (Author). 30 Aug 2010

Student thesis: Master typesMaster in Mathematics