Discussion about sliding mode algorithms, Zeno phenomena and observability

Yu, Lei; Barbot, Jean-Pierre; Benmerzouk, Djamila; Boutat, Driss; Floquet, Thierry; Zheng, Gang

Type de document :

Partie d'ouvrage: Chapitre

Titre :

Discussion about sliding mode algorithms, Zeno phenomena and observability

Auteur(s) :

Yu, Lei [Auteur]
Barbot, Jean-Pierre [Auteur]
Non-Asymptotic estimation for online systems [NON-A]
Électronique et Commande des Systèmes Laboratoire [ECS-Lab]
Benmerzouk, Djamila [Auteur]
Boutat, Driss [Auteur]
Laboratoire Pluridisciplinaire de Recherche en Ingénierie des Systèmes, Mécanique et Energétique [2008-2013] [PRISME]
Floquet, Thierry [Auteur]

Systèmes Non Linéaires et à Retards [SyNeR]
Non-Asymptotic estimation for online systems [NON-A]
Zheng, Gang [Auteur]

Non-Asymptotic estimation for online systems [NON-A]

Éditeur(s) ou directeur(s) scientifique(s) :

Fridman
Leonid; Moreno
Jaime; Iriarte
Rafael (Eds.)

Titre de l’ouvrage :

Lecture Notes in Control and Information Sciences, 2012, Volume 412

Éditeur :

Springer

Date de publication :

2012-02-01

Discipline(s) HAL :

Mathématiques [math]/Systèmes dynamiques [math.DS]

Résumé en anglais : [en]

This chapter is devoted to a discussion about the relations between first and high order slidingmode algorithms and both types of Zeno (Chattering and Genuinely) behaviors of switched dynamical systems. Firstly, the ...
Lire la suite >This chapter is devoted to a discussion about the relations between first and high order slidingmode algorithms and both types of Zeno (Chattering and Genuinely) behaviors of switched dynamical systems. Firstly, the Henstock-Kurzweil integral is recalled in order to set up the problem of switched systems with Zeno phenomena, which enables to include Filippov solution and take into account some singularities. Then, observer designs based on the well-known super twisting algorithm are proposed. For this kind of problems, the importance of finite time convergence of the observation error is studied, and some simulations are given to highlight the discussion. Lastly, the two tanks example is given in order to point out the differences between both Zeno phenomena types, to show that there is life after Zeno and that a higher order sliding mode observer can be efficient before, during and after both Zeno phenomena types.Lire moins >

Langue :

Anglais

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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