Email this article Multicriteria Robust Generalized H2 and γ0 Controllers with Application to Stabilization of a Rotor in Electromagnetic Bearings
- Authors: Balandin D.V.1, Kogan M.M.2
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Affiliations:
- Lobachevsky Nizhny Novgorod State University
- Nizhny Novgorod State University of Architecture and Civil Engineering
- Issue: Vol 79, No 6 (2018)
- Pages: 996-1012
- Section: Topical Issue
- URL: https://journals.rcsi.science/0005-1179/article/view/150913
- DOI: https://doi.org/10.1134/S0005117918060024
- ID: 150913
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Abstract
For linear plants with unstructured or structured uncertainty of bounded norm, this paper designs Pareto optimal robust controllers in terms of linear matrix inequalities in multicriteria control problems with the generalized H2 or γ0 norms. The controller design procedure is based on optimization of a scalar objective function (Germeier convolution) and semi-definite programming. The developed theory is used to design multicriteria robust controllers in the stabilization problem for a rotor in electromagnetic bearings.
About the authors
D. V. Balandin
Lobachevsky Nizhny Novgorod State University
Author for correspondence.
Email: dbalandin@yandex.ru
Russian Federation, Nizhny Novgorod
M. M. Kogan
Nizhny Novgorod State University of Architecture and Civil Engineering
Email: dbalandin@yandex.ru
Russian Federation, Nizhny Novgorod
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