Event-based stabilization of linear systems of conservation laws using a dynamic triggering condition. Issue 18 (2016)

• Record Type: Journal Article
• Authors: Espitia, Nicolás; Girard, Antoine; Marchand, Nicolas; Prieur, Christophe
• Is Part Of: IFAC-PapersOnLine. Volume 49:Issue 18(2016)
• Page Start: 362
• Page End: 367
• Publication Date: 2016
• Subjects: Event-based control -- hyperbolic systems -- Lyapunov techniques -- triggering conditions -- piecewise continuous functions; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2016.10.192
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: This paper deals with a new event-based stabilization strategy for a class of linear hyperbolic systems of conservation laws. It includes an internal dynamics which serves as a filter mechanism for the event-triggered condition previously introduced in Espitia et al. (2016). The well-posedness as well as the global exponential stability of the resulting closed-loop system is studied. Some numerical simulations are performed to validate the theoretical results.