Insights on event-triggered control for linear systems subject to norm-bounded uncertainty

Sophie Tarbouriech 1 Alexandre Seuret 1 Christophe Prieur 2 Luca Zaccarian 1
1 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande
LAAS - Laboratoire d'analyse et d'architecture des systèmes
2 GIPSA-SYSCO - SYSCO
GIPSA-DA - Département Automatique
Abstract : The chapter deals with the design of event-triggered rules to stabilize a class of uncertain linear control systems. The uncertainty affecting the plant is norm-bounded. The event-triggering rule uses only local information, namely it uses only the output signals available to the controller. The approach proposed combines a hybrid framework to describe the closed-loop system with techniques based on looped functionals. The proposed design conditions are formulated in terms of linear matrix inequalities (LMIs), ensuring global robust asymptotic stability of the closed-loop system. A tunable parameter allows guaranteeing an adjustable dwell-time property of the solutions. The effectiveness of the approach is evaluated on an example taken from the literature.
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Sophie Tarbouriech, Alexandre Seuret, Christophe Prieur, Luca Zaccarian. Insights on event-triggered control for linear systems subject to norm-bounded uncertainty. S.Tarbouriech, A. Girard, and L. Hetel Control subject to computational and communication constraints, Springer, pp.181-196, 2018, 978-3-319-78449-6. ⟨hal-01827110⟩

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