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Avtomatika i Telemekhanika, 2018, Issue 6, Pages 49–68 (Mi at15086)  
This article is cited in 1 scientific paper (total in 1 paper)

Topical issue

Multicriteria robust generalized $H_2$ and $\gamma_0$ controllers with application to stabilization of a rotor in electromagnetic bearings

D. V. Balandina, M. M. Koganb

a Lobachevsky Nizhny Novgorod State University, Nizhny Novgorod, Russia
b Nizhny Novgorod State University of Architecture and Civil Engineering, Nizhny Novgorod, Russia
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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 $H_2$ or $\gamma_0$ 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.
Keywords: Pareto optimal control, robust control, generalized $H_2$ norm, generalized $\gamma_0$ norm, Germeier convolution, rotor, electromagnetic bearing.
Funding agency Grant number
Russian Science Foundation 16-19-10279
This work was supported by the Russian Science Foundation, project no. 16-19-10279.
Presented by the member of Editorial Board: A. P. Kurdyukov

Received: 09.11.2017
English version:
Automation and Remote Control, 2018, Volume 79, Issue 6, Pages 996–1012
DOI: https://doi.org/10.1134/S0005117918060024
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. V. Balandin, M. M. Kogan, “Multicriteria robust generalized $H_2$ and $\gamma_0$ controllers with application to stabilization of a rotor in electromagnetic bearings”, Avtomat. i Telemekh., 2018, no. 6, 49–68; Autom. Remote Control, 79:6 (2018), 996–1012
Citation in format AMSBIB
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\by D.~V.~Balandin, M.~M.~Kogan
\paper Multicriteria robust generalized $H_2$ and $\gamma_0$ controllers with application to stabilization of a~rotor in electromagnetic bearings
\jour Avtomat. i Telemekh.
\yr 2018
\issue 6
\pages 49--68
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\elib{https://elibrary.ru/item.asp?id=35718005}
\transl
\jour Autom. Remote Control
\yr 2018
\vol 79
\issue 6
\pages 996--1012
\crossref{https://doi.org/10.1134/S0005117918060024}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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