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Robust Regulation of SISO Systems: The Fractional Ideal Approach

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Original languageEnglish
Title of host publicationProceedings of the SIAM Conference on Control and Its Applications (CT15)
PublisherSIAM, Society for Industrial and Applied Mathematics
Number of pages8
ISBN (Electronic)978-1-611973-92-1
Publication statusPublished - 2015
Publication typeA4 Article in a conference publication
EventSIAM Conference on Control and Its Applications - Paris, France
Duration: 1 Jan 200010 Jul 2015


ConferenceSIAM Conference on Control and Its Applications


We solve the robust regulation problem for single-input single-output plants by using the fractional ideal approach and without assuming the existence of coprime factorizations. In particular, we are able to formulate the famous internal model principle for stabilizable plants which do not necessarily admit coprime factorizations. We are able to give a necessary and suffcient solvability condition for the robust regulation problem, which leads to a design method for a robustly regulating controller. The theory is illustrated by examples.

Publication forum classification

Field of science, Statistics Finland