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Journal Articles Systems and Control Letters Year : 2017

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

Une approche par la réprésenation fractionnaire du problème de régulation robuste pour les sysèmes SISO

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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.

Dates and versions

hal-01666142 , version 1 (18-12-2017)

Identifiers

Cite

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