Titre :

Event-triggered boundary control of an unstable reaction diffusion PDE with input delay

Auteur(s) :

Koudohode, Florent [Auteur correspondant]
Équipe Méthodes et Algorithmes en Commande [LAAS-MAC]
Espitia, Nicolas [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Krstic, Miroslav [Auteur]
University of California [San Diego] [UC San Diego]

Titre de la revue :

Systems and Control Letters

Éditeur :

Elsevier

Date de publication :

2024-03-21

ISSN :

0167-6911

Mot(s)-clé(s) en anglais :

reaction-diffusion systems
first order hyperbolic equation
backstepping control design
event-triggered control
small-gain analysis

Discipline(s) HAL :

Sciences de l'ingénieur [physics]

Résumé en anglais : [en]

In chemical, biological, or population (epidemiological) processes the feedback action may be considerably delayed by time-consuming chemical measurements or biological tests. With such large delays on the control action ...
Lire la suite >In chemical, biological, or population (epidemiological) processes the feedback action may be considerably delayed by time-consuming chemical measurements or biological tests. With such large delays on the control action in mind, and motivated by the fact that in some of these systems only piecewise-constant inputs can be applied between time instants at which measurements trigger changes in control, we consider the problem of event-triggered stabilization of 1-D reaction-diffusion PDE systems with input delay. The approach relies on reformulating the delay problem as an actuated transport PDE which cascades into the reaction-diffusion PDE, and on the emulation of backstepping control. The paper proposes a static (state-dependent) triggering condition which establishes the time instants at which the control value needs to be updated. It is shown that under the proposed event-triggered boundary control, there exists a minimal dwelltime (independent of the initial conditions) between two triggering times which allows to guarantee the well-posedness of the closed-loop system, and the exponential stability. The stability analysis is based on Input-to-State stability theory for PDEs and small-gain arguments. A simulation example is presented to validate the theoretical results.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Collections :

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

Source :

Harvested from HAL