A unifying Lyapunov-based framework for the event-triggered control of nonlinear systems

Romain Postoyan (1) , Adolfo Anta (2) , Dragan Nesic (3) , Paulo Tabuada (4)

1 CRAN - Centre de Recherche en Automatique de Nancy
2 TU - Technical University of Berlin / Technische Universität Berlin
3 Department of Electrical and Electronic Engineering [Melbourne]
4 Cyber-Physical Systems Laboratory

We present a prescriptive framework for the event-triggered control of nonlinear systems. Rather than closing the loop periodically, as traditionally done in digital control, in event-triggered implementations the loop is closed according to a state-dependent criterion. Event-triggered control is especially well suited for embedded systems and networked control systems since it reduces the amount of resources needed for control such as communication bandwidth. By modeling the event-triggered implementations as hybrid systems, we provide Lyapunov-based conditions to guarantee the stability of the resulting closed-loop system and explain how they can be utilized to synthesize event-triggering rules. We illustrate the generality of the approach by showing how it encompasses several existing event-triggering policies and by developing new strategies which further reduce the resources needed for control.

Mots clés: Hybrid systems; event-triggered control; nonlinear systems; stabilization

Domaines: Automatique / Robotique

Romain Postoyan, Adolfo Anta, Dragan Nesic, Paulo Tabuada. A unifying Lyapunov-based framework for the event-triggered control of nonlinear systems. 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011, Dec 2011, Orlando, United States. pp.CDROM. ⟨hal-00637977⟩