Automatica, Vol.74, 90-98, 2016
Semi-global stabilization by an output feedback law from a hybrid state controller
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 explicitly this hybrid output feedback law. This last result is illustrated for linear systems with reset saturated controls. (C) 2016 Elsevier Ltd. All rights reserved.