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

Polyakov, Andrey; Efimov, Denis; Brogliato, Bernard

Document type :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1137/18M1197345

Title :

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

Author(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]

Journal title :

SIAM Journal on Control and Optimization

Pages :

78-103

Publisher :

Society for Industrial and Applied Mathematics

Publication date :

2019

ISSN :

0363-0129

HAL domain(s) :

Informatique [cs]/Automatique

English abstract : [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 ...
Show more >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.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

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

Collections :