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Avtomatika i Telemekhanika, 2011, Issue 3, Pages 81–97 (Mi at1491)  

This article is cited in 17 scientific papers (total in 17 papers)

Robust and Adaptive Systems

Using the method of invariant ellipsoids for linear robust output stabilization of spacecraft

S. Gonzalez-Garciaa, A. E. Polyakovb, A. S. Poznyaka

a The Research and Advanced Studies Center of the National Polytechnic Institute (CINVESTAV), Mexico City, Mexico
b Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
References:
Abstract: Consideration was given to the problem of robust output stabilization of the nonlinear system using the method of invariant ellipsoids on assumption that the system satisfies a Lipschitz-like condition and the system output is subjected to bounded external disturbances. It was reduced to a special optimization problem with solution based on the theory of linear matrix inequalities. The proposed approach was illustrated by an example of stabilization of a spacecraft with elastic dynamic elements. The designed control represents a combination of the “accelerate-decelerate” algorithm and a linear feedback obtained using the method of invariant ellipsoids.
Presented by the member of Editorial Board: B. T. Polyak

Received: 24.09.2008
English version:
Automation and Remote Control, 2011, Volume 72, Issue 3, Pages 540–555
DOI: https://doi.org/10.1134/S0005117911030064
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. Gonzalez-Garcia, A. E. Polyakov, A. S. Poznyak, “Using the method of invariant ellipsoids for linear robust output stabilization of spacecraft”, Avtomat. i Telemekh., 2011, no. 3, 81–97; Autom. Remote Control, 72:3 (2011), 540–555
Citation in format AMSBIB
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\by S.~Gonzalez-Garcia, A.~E.~Polyakov, A.~S.~Poznyak
\paper Using the method of invariant ellipsoids for linear robust output stabilization of spacecraft
\jour Avtomat. i Telemekh.
\yr 2011
\issue 3
\pages 81--97
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\zmath{https://zbmath.org/?q=an:1229.93138}
\transl
\jour Autom. Remote Control
\yr 2011
\vol 72
\issue 3
\pages 540--555
\crossref{https://doi.org/10.1134/S0005117911030064}
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  • https://www.mathnet.ru/eng/at1491
  • https://www.mathnet.ru/eng/at/y2011/i3/p81
  • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Avtomatika i Telemekhanika
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    Full-text PDF :104
    References:32
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