LMI-based design of dynamic event-triggering mechanism for linear systems

Sophie Tarbouriech (1) , Antoine Girard (2)

1 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande
2 L2S - Laboratoire des signaux et systèmes

This paper deals with the design of an event-triggering mechanism using local information for a linear system controlled by an observer-based feedback controller. The event-triggered control strategy is based on a new dynamic triggering mechanism, which is introduced through an internal dynamic variable. Sufficient conditions based on linear matrix inequalities are proposed to ensure the asymptotic stability of the closed loop together with the avoidance of Zeno behavior. A convex optimization problem leans on these conditions to determine the parameters of the event-trigger rule aiming at reducing the number of control updates. Discussion with respect to the simpler state feedback case is drawn.

Domaines: Automatique / Robotique

Sophie Tarbouriech, Antoine Girard. LMI-based design of dynamic event-triggering mechanism for linear systems. 57th IEEE Conference on Decision and Control (CDC 2018), Dec 2018, Miami Beach, United States. pp.121-126, ⟨10.1109/CDC.2018.8619103⟩. ⟨hal-02268566⟩