Observability of the discrete state for dynamical piecewise hybrid systems

Chaib, Salim; Boutat, Driss; Benali, Abderraouf; Pierre Barbot, Jean

Document type :

Article dans une revue scientifique: Article original

DOI :

10.1016/j.na.2005.05.028

Title :

Observability of the discrete state for dynamical piecewise hybrid systems

Author(s) :

Chaib, Salim [Auteur]
Laboratoire Pluridisciplinaire de Recherche en Ingénierie des Systèmes, Mécanique et Energétique [2008-2013] [PRISME]
Boutat, Driss [Auteur]
Laboratoire Pluridisciplinaire de Recherche en Ingénierie des Systèmes, Mécanique et Energétique [2008-2013] [PRISME]
Benali, Abderraouf [Auteur]
Laboratoire Pluridisciplinaire de Recherche en Ingénierie des Systèmes, Mécanique et Energétique [2008-2013] [PRISME]
Pierre Barbot, Jean [Auteur]
Non-Asymptotic estimation for online systems [NON-A]
Électronique et Commande des Systèmes Laboratoire [ECS-Lab]

Journal title :

Annales de l'Institut Henri Poincaré C, Analyse non linéaire

Pages :

423-438

Publisher :

EMS

Publication date :

2005-11-01

ISSN :

0294-1449

English keyword(s) :

Observability
Hybrid system
Piecewise-affine systems
Switching function
Transversality

HAL domain(s) :

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

English abstract : [en]

In this paper, we deal with the observability of piecewise-affine hybrid systems. Our aim is to give sufficient conditions to observe the discrete and continuous states, in terms of algebraic and geometrical conditions. ...
Show more >In this paper, we deal with the observability of piecewise-affine hybrid systems. Our aim is to give sufficient conditions to observe the discrete and continuous states, in terms of algebraic and geometrical conditions. Firstly, we will give the algebraic conditions to observe the discrete state based on the switch function reconstruction for linear hybrid systems. Secondly, we will give a geometrical condition based on the transversality concept for nonlinear hybrid systems. Throughout this paper, we illustrate our propositions with examples and simulations.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :