Title :

Local stabilization conditions for discrete-time switched affine systems

Author(s) :

Khodja, Ghania [Auteur]
Centrale Lille
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Fiter, Christophe [Auteur]
Université de Lille
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Hetel, Laurentiu [Auteur]
Centrale Lille
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Floquet, Thierry [Auteur]
Centrale Lille
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]

Journal title :

Automatica

Pages :

111679

Publisher :

Elsevier

Publication date :

2024

ISSN :

0005-1098

English keyword(s) :

Discrete-time switched affine systems
local stability
uniform ultimate boundedness
bilinear systems

HAL domain(s) :

Sciences de l'ingénieur [physics]

English abstract : [en]

This paper deals with the switching law design problem for discrete-time switched affine systems. While the existing literatureaddresses the case of globally stabilizing switching laws, in discrete time, many switched ...
Show more >This paper deals with the switching law design problem for discrete-time switched affine systems. While the existing literatureaddresses the case of globally stabilizing switching laws, in discrete time, many switched affine systems can only be stabilizedlocally. In this work, methods are proposed for the design of switching control laws ensuring the local uniform ultimateboundedness of the equilibrium. The approach is based on the existence of a stabilizing continuous state feedback for abilinear system. Estimates of the domain of attraction and of the invariant attractive neighborhood of the equilibrium aregiven. Numerical methods that allows a simple implementation of the proposed results are given.Show less >

Language :

Anglais

Popular science :

Non

Collections :

• Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL