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Frequency domain robust regulation of signals generated by an infinite-dimensional exosystem

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Details

Original languageEnglish
Pages (from-to)139-166
Number of pages28
JournalSIAM Journal on Control and Optimization
Volume53
Issue number1
DOIs
Publication statusPublished - 2015
Publication typeA1 Journal article-refereed

Abstract

This paper deals with frequency domain robust regulation of signals generated by an infinite-dimensional exosystem. The problem is formulated and the stability types are chosen so that one can generalize the existing finite-dimensional theory to more general classes of infinite-dimensional systems and signals. The main results of this article are extensions of the internal model principle, of a necessary and sufficient solvability condition for the robust regulation problem, and of Davison's simple servo compensator for stable plants in the chosen algebraic framework.

Keywords

  • Frequency domain, Infinite-dimensional exosystems, Infinite-dimensional systems, Internal model, Robust regulation

Publication forum classification

Field of science, Statistics Finland