Title :

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

Author(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]

Conference title :

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

City :

Cape Town

Country :

Afrique du Sud

Start date of the conference :

2014-08-24

Publication date :

2014-08

HAL domain(s) :

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

English abstract : [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 ...
Show more >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.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

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

Source :

Harvested from HAL