Title :

Event-triggered boundary control of constant-parameter reaction-diffusion PDEs: a small-gain approach

Author(s) :

Espitia, Nicolas [Auteur]
Centre National de la Recherche Scientifique [CNRS]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Karafyllis, Iasson [Auteur]
National Technical University of Athens [Athens] [NTUA]
Krstic, Miroslav [Auteur]
University of California [San Diego] [UC San Diego]

Journal title :

Automatica

Publisher :

Elsevier

Publication date :

2021-06

ISSN :

0005-1098

English keyword(s) :

reaction-diffusion systems
backstepping control design
event-triggered control

HAL domain(s) :

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

English abstract : [en]

This paper deals with an event-triggered boundary control of constant-parameters reaction-diffusion PDE systems. The approach relies on the emulation of backstepping control along with a suitable triggering condition which ...
Show more >This paper deals with an event-triggered boundary control of constant-parameters reaction-diffusion PDE systems. The approach relies on the emulation of backstepping control along with a suitable triggering condition which establishes the time instants at which the control value needs to be updated. In this paper, it is shown that under the proposed event-triggered boundary control, there exists a minimal dwell-time (independent of the initial condition) between two triggering times and furthermore the well-posedness and global exponential stability are guaranteed. The analysis follows small-gain arguments and builds on recent papers on sampled-data control for this kind of PDE. A simulation example is presented to validate the theoretical results.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