Event-based control of linear hyperbolic systems of conservation laws. (August 2016)

• Record Type: Journal Article
• Authors: Espitia, Nicolás; Girard, Antoine; Marchand, Nicolas; Prieur, Christophe
• Is Part Of: Automatica. Volume 70(2016)
• Page Start: 275
• Page End: 287
• Publication Date: 2016-08
• Subjects: Linear hyperbolic systems -- Lyapunov techniques -- Triggering conditions -- Piecewise continuous functions; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2016.04.009
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: In this article, we introduce event-based boundary controls for 1-dimensional linear hyperbolic systems of conservation laws. Inspired by event-triggered controls developed for finite-dimensional systems, an extension to the infinite dimensional case by means of Lyapunov techniques, is studied. The main contribution of the paper lies in the definition of two event-triggering conditions, by which global exponential stability and well-posedness of the system under investigation is achieved. Some numerical simulations are performed for the control of a system describing traffic flow on a roundabout.