Hybrid Output Regulation for Minimum Phase Linear Systems

We consider the hybrid output regulation problem for minimum phase linear systems with relative degree greater than one. In the hybrid output regulation problem, the disturbances, which are assumed to be matched with the control input, evolve through a hybrid dynamical system that experiences jumps periodically. In constructing an output regulator for this problem, we combine recent work on necessary conditions for hybrid output regulation with classical ideas related to high-gain output feedback and high-gain observers. The output regulator we design achieves global exponential stability of a compact set in which the output of the system is zero.