An exact robust hyperexponential differentiator

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

Document type :

Communication dans un congrès avec actes

Title :

An exact robust hyperexponential differentiator

Author(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]

Conference title :

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

City :

Cancún

Country :

Mexique

Start date of the conference :

2022-12-06

HAL domain(s) :

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

English abstract : [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 ...
Show more >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.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

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An exact robust hyperexponential differentiator

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