A method for adaptive hybrid output regulation of linear systems

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.