Titre :

Synthesis on a class of algebraic differentiators and application to nonlinear observation

Auteur(s) :

Liu, Da-Yan [Auteur]
Laboratoire Pluridisciplinaire de Recherche en Ingénierie des Systèmes, Mécanique et Energétique [2008-2013] [PRISME]
Gibaru, Olivier [Auteur]
Laboratoire des Sciences de l'Information et des Systèmes [LSIS]
Non-Asymptotic estimation for online systems [NON-A]
Perruquetti, Wilfrid [Auteur]
Centrale Lille
Systèmes Non Linéaires et à Retards [SyNeR]
Non-Asymptotic estimation for online systems [NON-A]

Titre de la manifestation scientifique :

The 33rd Chinese Control Conference (CCC)

Ville :

Nanjing

Pays :

Chine

Date de début de la manifestation scientifique :

2014-07-28

Date de publication :

2014-07

Discipline(s) HAL :

Sciences de l'ingénieur [physics]/Automatique / Robotique
Mathématiques [math]/Analyse numérique [math.NA]

Résumé en anglais : [en]

The recent algebraic parametric method proposed by Fliess and Sira-Ramirez has been extended to numerical differentiation problem in noisy environment. The obtained algebraic differentiators are non-asymptotic and robust ...
Lire la suite >The recent algebraic parametric method proposed by Fliess and Sira-Ramirez has been extended to numerical differentiation problem in noisy environment. The obtained algebraic differentiators are non-asymptotic and robust against corrupting noises. Among these algebraic differentiators, the Jacobi differentiators has been used in many applications. In this paper, we summarize some existing error analysis results to give a strategy on how to chose the design parameters for the Jacobi differentiators. Then, we provide new algorithms which are more robust against the numerical errors produced with negative design parameters' values. Finally, we consider an application to nonlinear observation, where we compare the Jacobi differentiators to the high gain observer and the high order sliding modes differentiator.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