A novel differentiator:A compromise between super twisting and linear algorithms

Ghanes, Malek; Barbot, Jean-Pierre; Fridman, Leonid; Levant, Arie

Document type :

Autre communication scientifique (congrès sans actes - poster - séminaire...): Communication dans un congrès avec actes

Title :

A novel differentiator:A compromise between super twisting and linear algorithms

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]

Conference title :

IEEE CDC

City :

Melbourne

Country :

Australie

Start date of the conference :

2017-12-17

Publication date :

2017-12-10

HAL domain(s) :

Sciences de l'ingénieur [physics]

English abstract : [en]

Based on the frequency argument, a novel secondorder sliding mode differentiator with a variable exponent is proposed in this article. The super twisting differentiator(exponent = 0, 5) is not sensible to perturbation but ...
Show more >Based on the frequency argument, a novel secondorder sliding mode differentiator with a variable exponent is proposed in this article. The super twisting differentiator(exponent = 0, 5) is not sensible to perturbation but its accuracy isdegraded when the signal is affected by the noise. The linearobserver (exponent= 1) has better property in the presence of noisebut is less robust to perturbations. The goal of this paper isto propose a trade-off between the exact differentiator andlinear observer. To reach this objective, the exponent parameter ismade variable. In the absence of noise exponent goes to 0; 5 andtends to 1 when the noise increases. In free-noise case andwith or without perturbation, the novel differentiator behavesas a super twisting differentiator (exact differentiation). Whenthe signal is affected by noise, only a practical stability of thedifferentiator is ensured. Finally simulation results are givento show that the novel differentiator has better performancescompared to differentiators having exponent fixed.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

A novel differentiator:A compromise between ... BibTeX CSV Excel RIS

A novel differentiator:A compromise between ...

BibTeX

CSV

Excel

RIS