Event-triggered gain scheduling of reaction-diffusion PDEs

Karafyllis, Iasson; Espitia, Nicolas; Krstic, Miroslav

Document type :

Compte-rendu et recension critique d'ouvrage

Title :

Event-triggered gain scheduling of reaction-diffusion PDEs

Author(s) :

Karafyllis, Iasson [Auteur]
National Technical University of Athens [Athens] [NTUA]
Espitia, Nicolas [Auteur]

Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Krstic, Miroslav [Auteur]
Department of Mechanical and Aerospace Engineering [Univ California San Diego] [MAE - UC San Diego]

Journal title :

SIAM Journal on Control and Optimization

Publisher :

Society for Industrial and Applied Mathematics

Publication date :

2021-06-08

ISSN :

0363-0129

HAL domain(s) :

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

English abstract : [en]

This paper deals with the problem of boundary stabilization of 1D reaction-diffusion PDEs with a time- and space- varying reaction coefficient. The boundary control design relies on the backstepping approach. The gains of ...
Show more >This paper deals with the problem of boundary stabilization of 1D reaction-diffusion PDEs with a time- and space- varying reaction coefficient. The boundary control design relies on the backstepping approach. The gains of the boundary control are scheduled under two suitableevent-triggered mechanisms. More precisely, gains are computed/updated on events according to two state-dependent event-triggering conditions: static-based and dynamic-based conditions, under which, the Zeno behavior is avoided and well-posedness, as well as exponential stability of the closed-loop system, are guaranteed. Numerical simulations are presented to illustrate the results.Show less >

Language :

Anglais

Popular science :

Non

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