Event-triggered sampling algorithms based on a Lyapunov function

Alexandre Seuret 1 Christophe Prieur 2
1 NECS - Networked Controlled Systems
Inria Grenoble - Rhône-Alpes, GIPSA-DA - Département Automatique
2 GIPSA-SYSCO - SYSCO
GIPSA-DA - Département Automatique
Abstract : Usually feedback laws are implemented in a periodic fashion on digital hardware. The main reason for using this periodicity in the hardware comes from the difficulties to analyze the stability of aperiodic or asynchronous systems. However it also seems natural to hold the same control input longer if the system behaves in a suitable way or shorter if the system requires an updated input. In this paper, an algorithm is suggested to sample the control input based on the behavior of a Lyapunov-like function. This algorithm is called event-triggered since the Lyapunov-like function directly depends on the state of the systems.
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Alexandre Seuret, Christophe Prieur. Event-triggered sampling algorithms based on a Lyapunov function. 50th IEEE Conference on Decision and Control and European Control Conference (IEEE CDC-ECC 2011), Dec 2011, Orlando, Floride, United States. pp.6. ⟨hal-00610542⟩

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