Consistent Discretization of Finite-time and Fixed-time Stable Systems

Polyakov, Andrey; Efimov, Denis; Brogliato, Bernard

Type de document :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1137/18M1197345

Titre :

Consistent Discretization of Finite-time and Fixed-time Stable Systems

Auteur(s) :

Polyakov, Andrey [Auteur]

Finite-time control and estimation for distributed systems [VALSE]
Efimov, Denis [Auteur]

Finite-time control and estimation for distributed systems [VALSE]
Brogliato, Bernard [Auteur]
Modélisation, simulation et commande des systèmes dynamiques non lisses [TRIPOP]

Titre de la revue :

SIAM Journal on Control and Optimization

Pagination :

78-103

Éditeur :

Society for Industrial and Applied Mathematics

Date de publication :

2019

ISSN :

0363-0129

Discipline(s) HAL :

Informatique [cs]/Automatique

Résumé en anglais : [en]

Algorithms of implicit discretization for generalized homogeneous systems having discontinuity only at the origin are developed. They are based on the transformation of the original system to an equivalent one which admits ...
Lire la suite >Algorithms of implicit discretization for generalized homogeneous systems having discontinuity only at the origin are developed. They are based on the transformation of the original system to an equivalent one which admits an implicit or a semi-implicit discretization schemes preserving the stability properties of the continuous-time system. Namely, the discretized model remains finite-time stable (in the case of negative homogeneity degree), and practically fixed-time stable (in the case of positive homogeneity degree). The theoretical results are supported with numerical examples.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Projet ANR :

Différentiateurs et commandes homogènes par modes glissants multivalués en temps discret: l'approche implicite

Collections :