On the numerical investigation of a Luenberger type observer for infinite-dimensional vibrating systems
Résumé
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.