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A fractional representation approach to the robust regulation problem for SISO systems

Research output: Contribution to journalArticleScientificpeer-review


Original languageEnglish
Pages (from-to)32-37
Number of pages6
JournalSystems and Control Letters
Publication statusPublished - 1 May 2017
Publication typeA1 Journal article-refereed


The purpose of this article is to develop a new approach to the robust regulation problem for plants which do not necessarily admit coprime factorizations. The approach is purely algebraic and allows us dealing with a very general class of systems in a unique simple framework. We formulate the famous internal model principle in a form suitable for plants defined by fractional representations which are not necessarily coprime factorizations. By using the internal model principle, we are able to give necessary and sufficient solvability conditions for the robust regulation problem and to parameterize all robustly regulating controllers.


  • Fractional representation approach, Linear systems, Robust regulation

Publication forum classification

Field of science, Statistics Finland