Stability Analysis for A Class of Linear Hyperbolic System of Balance Laws with Sampled-data Control

Wang, Xinyong; Tang, Ying; Fiter, Christophe; Hetel, Laurentiu

Document type :

Autre communication scientifique (congrès sans actes - poster - séminaire...): Communication dans un congrès avec actes

Title :

Stability Analysis for A Class of Linear Hyperbolic System of Balance Laws with Sampled-data Control

Author(s) :

Wang, Xinyong [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Tang, Ying [Auteur]

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

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

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

Conference title :

IFAC World Congress

City :

Berlin

Country :

Allemagne

Start date of the conference :

2020-07-12

English keyword(s) :

Lyapunov fuction
LMIs methods
Linear hyperbolic system
sampled-data control
Rε-stability

HAL domain(s) :

Sciences de l'ingénieur [physics]/Automatique / Robotique
Informatique [cs]/Systèmes et contrôle [cs.SY]

English abstract : [en]

The stability for a class of linear hyperbolic systems with distributed sampled-data controllers is discussed in this paper. The original sampled-data system is firstly transformed into a new equivalent system by modelling ...
Show more >The stability for a class of linear hyperbolic systems with distributed sampled-data controllers is discussed in this paper. The original sampled-data system is firstly transformed into a new equivalent system by modelling the sampling induced error as a reset integrator operator. Then we construct an appropriate Lyapunov function and obtain sufficient conditions for the Rε-stability of the system based on linear matrix inequalities (LMIs). A numerical example illustates our results: when the sampling interval is within the allowable range, the solution of the system converges from the domain of attraction to a positive invariant set.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

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

Source :

Harvested from HAL

Files

https://hal.archives-ouvertes.fr/hal-02491857v2/document
Open access
Access the document

https://hal.archives-ouvertes.fr/hal-02491857v2/document
Open access
Access the document

https://hal.archives-ouvertes.fr/hal-02491857v2/document
Open access
Access the document

document
Open access
Access the document

IFAC_C.pdf
Open access
Access the document

Stability Analysis for A Class of Linear ... BibTeX CSV Excel RIS

Files

Stability Analysis for A Class of Linear ...

BibTeX

CSV

Excel

RIS