A second order sliding mode differentiator ...
Document type :
Communication dans un congrès avec actes
Title :
A second order sliding mode differentiator with a variable exponent
Author(s) :
Ghanes, Malek [Auteur]
Laboratoire des Sciences du Numérique de Nantes [LS2N]
Barbot, Jean-Pierre [Auteur]
Laboratoire QUARTZ [QUARTZ ]
Non-Asymptotic estimation for online systems [NON-A]
Fridman, Leonid [Auteur]
Departamento de Ingenieria de Control y Robotica
Levant, Arie [Auteur]
School of Mathematical Sciences [Tel Aviv] [TAU]
Laboratoire des Sciences du Numérique de Nantes [LS2N]
Barbot, Jean-Pierre [Auteur]
Laboratoire QUARTZ [QUARTZ ]
Non-Asymptotic estimation for online systems [NON-A]
Fridman, Leonid [Auteur]
Departamento de Ingenieria de Control y Robotica
Levant, Arie [Auteur]
School of Mathematical Sciences [Tel Aviv] [TAU]
Conference title :
ACC 2017 - IEEE American Control Conference
Conference organizers(s) :
IEEEE
City :
Seattle, WA,
Country :
Etats-Unis d'Amérique
Start date of the conference :
2017-05-24
Journal title :
American Control Conference (ACC), 2017
Publication date :
2017-07-03
English keyword(s) :
Differentiator
Noise measurement
Pollution measurement
Convergence
Measurement uncertainty
Eigenvalues and eigenfunctions
Observers
Stability analysis
Noise measurement
Pollution measurement
Convergence
Measurement uncertainty
Eigenvalues and eigenfunctions
Observers
Stability analysis
HAL domain(s) :
Sciences de l'ingénieur [physics]/Automatique / Robotique
English abstract : [en]
In this article, a new second order sliding mode differentiator with a variable exponent is proposed. Inspired by the classical super twisting differentiator, the dedicated differentiator allows to give a solution for ...
Show more >In this article, a new second order sliding mode differentiator with a variable exponent is proposed. Inspired by the classical super twisting differentiator, the dedicated differentiator allows to give a solution for reducing the effect of variable noise of sensor output measurement. To achieve this objective, the parameter α that is fixed in a super twisting differentiator is made variable in the proposed differentiator. First of all, the proposed differentiator is presented in free noise case, after that the extension to the case with output noise is given in details. In both cases the practical convergences of the observation error are guaranteed. In the first the radius of the practical stability is depending on the considered unknown input while in the second case this radius depends also on the noise. Finally some simulation results are given in order to show the performances and the effectiveness of the proposed differentiator compared to existing one.Show less >
Show more >In this article, a new second order sliding mode differentiator with a variable exponent is proposed. Inspired by the classical super twisting differentiator, the dedicated differentiator allows to give a solution for reducing the effect of variable noise of sensor output measurement. To achieve this objective, the parameter α that is fixed in a super twisting differentiator is made variable in the proposed differentiator. First of all, the proposed differentiator is presented in free noise case, after that the extension to the case with output noise is given in details. In both cases the practical convergences of the observation error are guaranteed. In the first the radius of the practical stability is depending on the considered unknown input while in the second case this radius depends also on the noise. Finally some simulation results are given in order to show the performances and the effectiveness of the proposed differentiator compared to existing one.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
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