Date/heure
28 janvier 2022
11:00 - 12:00
Oratrice ou orateur
Cheng-Zhong Xu
Catégorie d'évènement Séminaire EDP, Analyse et Applications (Metz)
Résumé
In this talk we present the problem of designing infinite-dimensional observers for infinite-dimensional systems. We consider the situation where only boundary measurement is available. Infinite-dimensional Luenberger-like observers are elaborated to infinite-dimensional dynamical systems in the abstract framework of semigroup systems. Exponential convergence of the proposed observers is guaranteed in the abstract framework by using the Lyapunov techniques. As examples explicit observers are worked out for PDE systems such as Euler-Bernoulli elastic beam systems and water wave systems. Thanks to observability property exponential or strong convergence of the designed observers is established with the convergence rate estimated in function of parameters of the observed systems, which is a desirable property for practical applications.