LINEACT-CESI, ENSICAEN
vendredi 20 septembre 2024, 10h
Salle des commissions
Campus Saint-Jérôme
Adaptive observers: From finite to infinite dimensional systems
Abstract:
This talk is devoted to adaptive observers for some classes of distributed parameters systems. We will show that several existing results for finite dimensional systems can be extended to infinite dimensional systems More precisely, new finite-dimensional adaptive observers are proposed for uncertain heat equation and a class of linear Kuramoto-Sivashinsky equation (KSE) with local output. The observers are based on the modal decomposition approach and use a classical persistent excitation condition to ensure prac tical exponential convergence of both states and parameters estimation. An important challenge of this work is that it treats the case when the function φ1(·,t) of the unknown part in the PDE model, depends on the spatial variable and φ1(·,t) ∈ L2(0,1) .