26450 articles – 20328 Notices  [english version]
Fiche détaillée Communications avec actes
17th World Congress The International Federation of Automatic Control, Seoul : Corée, République De (2008)
On the numerical investigation of a Luenberger type observer for infinite-dimensional vibrating systems
Xiao-Dong Li1, Cheng-Zhong Xu1, Yue-Jun Peng2, Marius Tucsnak3, 4

In this paper we present an infinite-dimensional Luenberger type observer for a class of vibrating systems. We undertake numerical investigations of the observer based on the Euler-Bernoulli model of elastic beam. The finite element method is adopted. The spatial interval is subdivided into a finite number N of smaller intervals. On each small interval we use hermitian shape functions of degree 3 to approximate the unknown function which is the solution of the system under study. Numerical simulations are carried out to illustrate the convergence of the designed observer.
1 :  LAGEP - Laboratoire d'automatique et de génie des procédés
2 :  Laboratoire de Mathématiques
3 :  IECN - Institut Elie Cartan Nancy
4 :  INRIA Nancy - Grand Est / IECN / LMAM - CORIDA
Observers – exponentially stable – linear systems – finite element method.