Titre :

Non-asymptotic state estimation for a class of linear time-varying systems with unknown inputs

Auteur(s) :

Liu, Da-Yan [Auteur]
Laboratoire Pluridisciplinaire de Recherche en Ingénierie des Systèmes, Mécanique et Energétique [2008-2013] [PRISME]
Laleg-Kirati, Taous-Meriem [Auteur]
Perruquetti, Wilfrid [Auteur]
Centrale Lille
Laboratoire d'Automatique, Génie Informatique et Signal [LAGIS]
Non-Asymptotic estimation for online systems [NON-A]
Gibaru, Olivier [Auteur]
Laboratoire des Sciences de l'Information et des Systèmes [LSIS]
Non-Asymptotic estimation for online systems [NON-A]

Titre de la manifestation scientifique :

the 19th World Congress of the International Federation of Automatic Control 2014

Ville :

Cape Town

Pays :

Afrique du Sud

Date de début de la manifestation scientifique :

2014-08-24

Date de publication :

2014-08

Discipline(s) HAL :

Sciences de l'ingénieur [physics]/Automatique / Robotique

Résumé en anglais : [en]

In this paper, we extend the modulating functions method to estimate the state and the unknown input of a linear time-varying system defined by a linear differential equation. We first estimate the unknown input by taking ...
Lire la suite >In this paper, we extend the modulating functions method to estimate the state and the unknown input of a linear time-varying system defined by a linear differential equation. We first estimate the unknown input by taking a truncated Jacobi orthogonal series expansion with unknown coefficients which can be estimated by the modulating functions method. Then, we estimate the state by using extended modulating functions and the estimated input. Both input and state estimators are given by exact integral formulae involving modulating functions and the noisy output. Hence, estimations at different instants can be non-asymptotically obtained using a sliding window of finite length. Numerical results are given to show the accuracy and the robustness of the proposed estimators against corrupting noises.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Collections :

• Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL