Error analysis for a class of numerical ...
Document type :
Communication dans un congrès avec actes
Title :
Error analysis for a class of numerical differentiator: application to state observation
Author(s) :
Liu, Da-Yan [Auteur]
Algebra for Digital Identification and Estimation [ALIEN]
Laboratoire d'Automatique, Génie Informatique et Signal [LAGIS]
Gibaru, Olivier [Auteur]
Laboratoire de Métrologie et de Mathématiques Appliquées [L2MA]
Algebra for Digital Identification and Estimation [ALIEN]
Perruquetti, Wilfrid [Auteur]
Systèmes Non Linéaires et à Retards [SyNeR]
Algebra for Digital Identification and Estimation [ALIEN]
Algebra for Digital Identification and Estimation [ALIEN]
Laboratoire d'Automatique, Génie Informatique et Signal [LAGIS]
Gibaru, Olivier [Auteur]
Laboratoire de Métrologie et de Mathématiques Appliquées [L2MA]
Algebra for Digital Identification and Estimation [ALIEN]
Perruquetti, Wilfrid [Auteur]

Systèmes Non Linéaires et à Retards [SyNeR]
Algebra for Digital Identification and Estimation [ALIEN]
Conference title :
48th IEEE Conference on Decision and Control
City :
Shanghai
Country :
Chine
Start date of the conference :
2009-12-16
Publication date :
2009
HAL domain(s) :
Mathématiques [math]/Analyse numérique [math.NA]
Informatique [cs]/Automatique
Informatique [cs]/Automatique
English abstract : [en]
In this note, firstly a modified numerical differentiation scheme is presented. The obtained scheme is rooted in the numerical differentiation method of Mboup M., Join C., Fliess M. and uses the same algebraic approach ...
Show more >In this note, firstly a modified numerical differentiation scheme is presented. The obtained scheme is rooted in the numerical differentiation method of Mboup M., Join C., Fliess M. and uses the same algebraic approach based on operational calculus. Secondly an analysis of the error due to a corrupting noise in this estimation is conducted and some upper-bounds are given on this error. Lastly a convincing simulation example gives an estimation of the state variable of a nonlinear system where the measured output is noisy.Show less >
Show more >In this note, firstly a modified numerical differentiation scheme is presented. The obtained scheme is rooted in the numerical differentiation method of Mboup M., Join C., Fliess M. and uses the same algebraic approach based on operational calculus. Secondly an analysis of the error due to a corrupting noise in this estimation is conducted and some upper-bounds are given on this error. Lastly a convincing simulation example gives an estimation of the state variable of a nonlinear system where the measured output is noisy.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
Collections :
Source :
Files
- https://hal.inria.fr/inria-00437129/document
- Open access
- Access the document
- https://hal.inria.fr/inria-00437129/document
- Open access
- Access the document
- https://hal.inria.fr/inria-00437129/document
- Open access
- Access the document
- https://hal.inria.fr/inria-00437129/document
- Open access
- Access the document
- document
- Open access
- Access the document
- cdc09DL.pdf
- Open access
- Access the document