• English
    • français
  • Help
  •  | 
  • Contact
  •  | 
  • About
  •  | 
  • Login
  • HAL portal
  •  | 
  • Pages Pro
  • EN
  •  / 
  • FR
View Item 
  •   LillOA Home
  • Liste des unités
  • Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
  • View Item
  •   LillOA Home
  • Liste des unités
  • Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

A continuous-time framework for least ...
  • BibTeX
  • CSV
  • Excel
  • RIS

Document type :
Article dans une revue scientifique
DOI :
10.1016/j.automatica.2014.10.055
Title :
A continuous-time framework for least squares parameter estimation
Author(s) :
Riachy, Samer [Auteur correspondant]
Laboratoire QUARTZ [QUARTZ ]
Non-Asymptotic estimation for online systems [NON-A]
Journal title :
Automatica
Pages :
6
Publisher :
Elsevier
Publication date :
2014-10-27
ISSN :
0005-1098
English keyword(s) :
least squares
parameter estimation
estimation under noise
Sobolev spaces
Evolution equations
HAL domain(s) :
Informatique [cs]/Automatique
English abstract : [en]
This paper proposes a continuous-time framework for the least-squares parameter estimation method through evolution equations. Nonlinear systems in the standard state space representation that are linear in the unknown, ...
Show more >
This paper proposes a continuous-time framework for the least-squares parameter estimation method through evolution equations. Nonlinear systems in the standard state space representation that are linear in the unknown, constant parameters are investigated. Two estimators are studied. The first one consists of a linear evolution equation while the second one consists of an impulsive linear evolution equation. The paper discusses some theoretical aspects related to the proposed estimators: uniqueness of a solution and an attractive equilibrium point which solves for the unknown parameters. A deterministic framework for the estimation under noisy measurements is proposed using a Sobolev space with negative index to model the noise. The noise can be of large magnitude. Concrete signals issued from an electronic device are used to discuss numerical aspects.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
Files
Thumbnail
  • https://hal.inria.fr/hal-01080376/document
  • Open access
  • Access the document
Thumbnail
  • https://hal.inria.fr/hal-01080376/document
  • Open access
  • Access the document
Thumbnail
  • https://hal.inria.fr/hal-01080376/document
  • Open access
  • Access the document
Université de Lille

Mentions légales
Université de Lille © 2017