Journal
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
Volume 48, Issue 8, Pages 4846-4873Publisher
SIAM PUBLICATIONS
DOI: 10.1137/090757976
Keywords
infinite-dimensional systems; infinite-dimensional exosystems; robust regulation; strong stabilization
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In this paper a robust regulation problem for infinite-dimensional systems with infinite-dimensional exosystems is discussed. The input and output spaces are also allowed to be infinite-dimensional. A new definition of internal model in terms of the controller parameters is given. It is shown that there exists a feedback controller containing an internal model of the exosystem, which robustly regulates the class of signals generated by the exosystem and strongly or weakly stabilizes the closed-loop system. As far as the authors know, the results are new even for finite-dimensional systems with infinite-dimensional exosystems.
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