Robust regulation of SISO systems : the fractional ideal approach

P. Laakkonen 1 Alban Quadrat 2
2 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France, SUPELEC, CNRS - Centre National de la Recherche Scientifique : UMR8506
Abstract : 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 sufficient solvability condition for the robust regulation problem, which leads to a design method for a robustly regulating controller. The theory is illustrated by examples.
Type de document :
Communication dans un congrès
2015 SIAM Conference on Control and its Applications , Jul 2015, Paris, France. 2015, Proceedings of the 2015 SIAM Conference on Control and its Applications 〈10.1137/1.9781611974072.43〉
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https://hal-centralesupelec.archives-ouvertes.fr/hal-01259973
Contributeur : Myriam Baverel <>
Soumis le : jeudi 21 janvier 2016 - 13:02:41
Dernière modification le : jeudi 5 avril 2018 - 12:30:13

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P. Laakkonen, Alban Quadrat. Robust regulation of SISO systems : the fractional ideal approach. 2015 SIAM Conference on Control and its Applications , Jul 2015, Paris, France. 2015, Proceedings of the 2015 SIAM Conference on Control and its Applications 〈10.1137/1.9781611974072.43〉. 〈hal-01259973〉

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