Semi-global stabilization by an output feedback law from a hybrid state controller

Swann Marx (1) , Vincent Andrieu (2) , Christophe Prieur (1)

1 GIPSA-SYSCO - GIPSA - Systèmes non linéaires et complexité
2 LAGEP - Laboratoire d'automatique et de génie des procédés

This article suggests a design method of a hybrid output feedback for SISO continuous systems. We focus on continuous systems for which there exists a hybrid state feedback law. A local hybrid stabilizability and a (global) complete uniform observability are assumed to achieve the stabilization of an equilibrium with a hybrid output feedback law. This is an existence result. Moreover, assuming the existence of a robust Lyapunov function instead of a stabilizability assumption allows to design explicitely this hybrid output feedback law. This last result is illustrated for linear systems with reset saturated controls.

Mots clés: Hybrid systems; Output feedback; Observers

Domaines: Automatique / Robotique

Swann Marx, Vincent Andrieu, Christophe Prieur. Semi-global stabilization by an output feedback law from a hybrid state controller. Automatica, 2016. ⟨hal-01368193v1⟩