Output Regulation for General Infinite-Dimensional Exosystems

In this paper we study output regulation of distributed parameter systems with infinite-dimensional exosystems. The purpose of the paper is to find simple and minimal conditions on the signal generator under which the solvability of the output regulation problem can be characterized by the solvability of the regulator equations. We also study the properties of the dynamic steady state of the closed-loop system and the uniqueness of the solution of Sylvester operator equations. The presented results have applications in robust regulation of infinite-dimensional systems.