Event-based control of linear hyperbolic systems of conservation laws

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.
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Nicolás Espitia, Antoine Girard, Nicolas Marchand, Christophe Prieur. Event-based control of linear hyperbolic systems of conservation laws. Automatica, Elsevier, 2016, 70, pp.275-287. ⟨https://doi.org/10.1016/j.automatica.2016.04.009⟩. ⟨10.1016/j.automatica.2016.04.009⟩. ⟨hal-01309671⟩

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