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Avtomatika i Telemekhanika, 2007, Issue 2, Pages 81–94 (Mi at940)  
This article is cited in 2 scientific papers (total in 2 papers)

Systems with Distributed Parameters

Motion control of a rotor with a cavity with a viscous fluid

A. A. Gurchenkova, A. S. Esenkovb, V. I. Tsurkova

a Dorodnitsyn Computer Center, Russian Academy of Sciences, Moscow, Russia
b Moscow Institute of Physics and Technology
Full-text PDF (232 kB) Citations (2)
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Abstract: A formulation and solution procedure of optimal control problems for perturbed relative uniform motion of a body with a cavity filled with a viscous incompressible fluid are proposed. In this paper, the case with a cylinder is considered; however, this approach is basically true for the a cavity of an arbitrary form. The formula for the angular velocity of perturbed motion depending on an external perturbing element is devised. After that, we have a possibility to set different optimal control problems and apply the formalism elaborated in the optimal control theory. Two illustrated problems are given.
Presented by the member of Editorial Board: V. N. Bukov

Received: 19.04.2006
English version:
Automation and Remote Control, 2007, Volume 68, Issue 2, Pages 284–295
DOI: https://doi.org/10.1134/S0005117907020087
Bibliographic databases:
Document Type: Article
PACS: 02.30.Yy
Language: Russian
Citation: A. A. Gurchenkov, A. S. Esenkov, V. I. Tsurkov, “Motion control of a rotor with a cavity with a viscous fluid”, Avtomat. i Telemekh., 2007, no. 2, 81–94; Autom. Remote Control, 68:2 (2007), 284–295
Citation in format AMSBIB
\Bibitem{GurEseTsu07}
\by A.~A.~Gurchenkov, A.~S.~Esenkov, V.~I.~Tsurkov
\paper Motion control of a~rotor with a~cavity with a~viscous fluid
\jour Avtomat. i Telemekh.
\yr 2007
\issue 2
\pages 81--94
\mathnet{http://mi.mathnet.ru/at940}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2301548}
\zmath{https://zbmath.org/?q=an:1126.93039}
\transl
\jour Autom. Remote Control
\yr 2007
\vol 68
\issue 2
\pages 284--295
\crossref{https://doi.org/10.1134/S0005117907020087}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33947122827}
Linking options:
  • https://www.mathnet.ru/eng/at940
  • https://www.mathnet.ru/eng/at/y2007/i2/p81
    • This publication is cited in the following 2 articles:
    1. Anatoly A. Gurchenkov, Ivan A. Matveev, “Dynamics of Fluids in the Cavity of a Rotating Body: A Review of Analytical Solutions”, Physics, 6:1 (2024), 426  crossref
    2. Gurchenkov A.A., Esenkov A.S., Nosov M.V., “Upravlenie dvizheniem rotora s polostyu, chastichno zapolnennoi idealnoi zhidkostyu”, Mekhatronika, avtomatizatsiya, upravlenie, 2013, no. 3, 41–47 A control for a rotor with a cavity containing an ideal liquid with a free surface  elib
    Citing articles in Google Scholar: Russian citations, English citations
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    Full-text PDF :126
    References:64
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