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

P. Laakkonen 1 Alban Quadrat 2
2 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : 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.
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https://hal.inria.fr/hal-01666142
Contributor : Alban Quadrat <>
Submitted on : Monday, December 18, 2017 - 10:26:54 AM
Last modification on : Tuesday, September 29, 2020 - 12:24:10 PM

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P. Laakkonen, Alban Quadrat. A fractional representation approach to the robust regulation problem for SISO systems. Systems and Control Letters, Elsevier, 2017, 103, pp.32-37. ⟨10.1016/j.sysconle.2017.02.006⟩. ⟨hal-01666142⟩

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