Output regulation theory for distributed parameter systems with unbounded control and observation

In this paper we consider the theory of robust out-put regulation for distributed parameter systems with infinite-dimensional exosystems. The main purpose of the paper is to extend selected results of the existing state space theory to allow plants with unbounded control and observation operators. In particular, we show that under suitable assumptions on the closed-loop system, the solvability of the output regulation problem can be characterized using the solvability of the regulator equations. The theoretic results are illustrated with an example where we consider output tracking for a heat equation with point observation.