Reset control systems: stabilization by nearly-periodic reset

Hetel, Laurentiu; Daafouz, Jamal; Tarbouriech, Sophie; Prieur, Christophe

Document type :

Communication dans un congrès avec actes

Title :

Reset control systems: stabilization by nearly-periodic reset

Author(s) :

Hetel, Laurentiu [Auteur]

Systèmes Non Linéaires et à Retards [SyNeR]
Daafouz, Jamal [Auteur]
Centre de Recherche en Automatique de Nancy [CRAN]
Tarbouriech, Sophie [Auteur]
Équipe Méthodes et Algorithmes en Commande [LAAS-MAC]
Prieur, Christophe [Auteur]
GIPSA - Systèmes non linéaires et complexité [GIPSA-SYSCO]

Conference title :

IFAC WC 2011 - 18th IFAC World Congress

City :

Milan

Country :

Italie

Start date of the conference :

2011-08-28

Book title :

Preprints of the 18th IFAC World Congress

Publication date :

2011-08-28

HAL domain(s) :

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

English abstract : [en]

In this paper the class of linear impulsive systems is considered. These systems are those with a continuous linear dynamics for all time, except at a sequence of instants. When such a discrete time occurs, the state ...
Show more >In this paper the class of linear impulsive systems is considered. These systems are those with a continuous linear dynamics for all time, except at a sequence of instants. When such a discrete time occurs, the state undergoes a jump, or more precisely follows a discrete linear dynamics. The sequence of time instants, when a discrete dynamics occurs, is nearly- periodic only, i.e. it is distant from a periodic sequence to an uncertain distance. This paper succeeds to state tractable conditions to analyze the stability, and to design reset matrices such that the hybrid system is globally asymptotically stable to the origin. The approach is based on a polytopic embedding of the uncertain dynamics. An example illustrates the main stability result.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Comment :

CDROM

Collections :

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

Source :

Harvested from HAL

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