Abstract
This paper deals with the output regulation problem for a class of SISO infinite dimensional systems with an uncertain exosystem. For these systems, a concept of relative degree is firstly introduced and used to construct a transformation which leads to the canonical form of output feedback systems. Then, based on this canonical form, by means of an internal model and a recursive adaptive control, the authors obtain an adaptive regulator which solves the problem. It should be pointed out that the proposed regulator is finite dimensional while it is usually infinite dimensional in existing literatures.
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