A method for adaptive hybrid output regulation of linear systems

摘要

Abstract: In this paper we deal with the problem of adaptive output regulation for a class of uncertain hybrid linear systems whose state jumps periodically according to a known clock. The goal is to present a design methodology for internal model-based hybrid regulators in presence of hybrid exosystems that are unknown both in the flow dynamics and jump map, which are assumed to range in a finite set. The arguments used in this paper strongly rely on the ones recently presented in Cox et al. 2016 and, in particular, on the notion of visibility of the “hybrid steady-state generator”. The design methodology is then applied to the practical case of torque control of a DC-motor in presence of an uncontrolled rectifier.