Title :

Observer-based event-triggered boundary control of a linear 2 × 2 hyperbolic systems

Author(s) :

Espitia, Nicolas [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]

Journal title :

Systems and Control Letters

Pages :

104668

Publisher :

Elsevier

Publication date :

2020-04

ISSN :

0167-6911

English keyword(s) :

output feedback
observers
linear hyperbolic 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 observer-based event-triggered boundary control for a coupled 2×2 linear hyperbolic system. The approach builds on an output feedback controller depending on estimated states along with a dynamic ...
Show more >This paper deals with an observer-based event-triggered boundary control for a coupled 2×2 linear hyperbolic system. The approach builds on an output feedback controller depending on estimated states along with a dynamic triggering condition which establishes the time instants at which the control value needs to be sampled/updated. This work combines some recent results on boundary stabilization via the backstepping approach with some event-triggered control strategies for this kind of PDE system. In this paper, it is shown that under the proposed event-triggered boundary control, there exists a minimal dwell-time (independent on initial conditions) between two triggering times and furthermore the well-posedness and global exponential stability are guaranteed. A simulation example is presented to validate the theoretical results with further discussions on the advantages of the proposed scheme.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