An exact robust hyperexponential differentiator

Efimov, Denis; Polyakov, Andrey; Zimenko, Konstantin; Wang, Jian

Type de document :

Communication dans un congrès avec actes

Titre :

An exact robust hyperexponential differentiator

Auteur(s) :

Efimov, Denis [Auteur]

Finite-time control and estimation for distributed systems [VALSE]
Polyakov, Andrey [Auteur]

Finite-time control and estimation for distributed systems [VALSE]
Zimenko, Konstantin [Auteur]
ITMO University [Russia]
Wang, Jian [Auteur]
College of Computer Science [Hangzhou] [HDU]

Titre de la manifestation scientifique :

Proc. 61th IEEE Conference on Decision and Control (CDC)

Ville :

Cancún

Pays :

Mexique

Date de début de la manifestation scientifique :

2022-12-06

Discipline(s) HAL :

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

Résumé en anglais : [en]

A simple differentiator is proposed, which is modeled by a second order time-varying linear differential equation. It is shown that for any signal of interest, whose second derivative is an essentially bounded function of ...
Lire la suite >A simple differentiator is proposed, which is modeled by a second order time-varying linear differential equation. It is shown that for any signal of interest, whose second derivative is an essentially bounded function of time, the differentiation error converges to zero with a hyperexponential rate (faster than any exponential). An implicit discretization scheme of the differentiator is given, which preserves all main properties of the continuous-time counterpart. In addition, the differentiation error is robustly stable with respect to the measurement noise with a linear gain. The efficiency of the suggested differentiator is illustrated through comparison in numeric experiments with popular alternatives.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

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An exact robust hyperexponential differentiator

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Excel

RIS