Event-Triggered Stabilizing Controllers Based on an Exponentially Decreasing Threshold

Fairouz Zobiri (1, 2) , Nacim Meslem (2) , Brigitte Bidégaray-Fesquet (1)

1 EDP - Equations aux Dérivées Partielles
2 GIPSA-SYSCO - GIPSA - Systèmes non linéaires et complexité

In this paper, we introduce a new policy for the event-based stabilizing controller for linear time-invariant systems. It relies on the definition, in transient time, of a Lyapunov-like function; a positive definite function that vanishes only at the origin. However, whereas a regular Lyapunov function is decaying in time, the Lyapunov-like function is allowed to increase, provided that it remains bounded, in order to get larger inter-event times. An upper threshold is thus fixed in the form of an exponentially decaying function, the rate of decay of which is set by solving a generalized eigenvalue problem. In the vicinity of the steady state, the Lyapunov function is prevented from increasing in time to ensure a faster convergence with less control updates.

Domaines: Automatique / Robotique

Fairouz Zobiri, Nacim Meslem, Brigitte Bidégaray-Fesquet. Event-Triggered Stabilizing Controllers Based on an Exponentially Decreasing Threshold. EBCCSP 2017 - 3rd IEEE Conference on Event-Based Control Communication and Signal Processing, May 2017, Funchal, Portugal. pp.1-8, ⟨10.1109/EBCCSP.2017.8022821⟩. ⟨hal-01514134⟩