Necessary and Sufficient Condition for solvability of Output Regulation Problem for Hybrid Linear Systems with Unpredictable Jumps

In this paper the output regulation problem for a class of hybrid linear systems in the presence of time-driven jumps and uncertain time domain is considered. More specifically, a generalized family of hybrid time domains, not known a priori to the controller, is analyzed, allowing for the possibility of multiple jumps occurring at the same time instant, namely simultaneous jumps. The geometric characterization of the relevant regulation manifolds is provided by means of necessary and sufficient conditions, within the full information setting. Finally, the theory is illustrated and validated through numerical examples.