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Robust regulation of SISO systems : the fractional ideal approach

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.
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Submitted on : Thursday, January 21, 2016 - 1:02:41 PM
Last modification on : Wednesday, September 16, 2020 - 5:26:13 PM

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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. ⟨10.1137/1.9781611974072.43⟩. ⟨hal-01259973⟩



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