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Avtomatika i Telemekhanika, 2011, Issue 11, Pages 9–59 (Mi at2859)  
This article is cited in 78 scientific papers (total in 78 papers)

Surveys

Optimization of linear systems subject to bounded exogenous disturbances: The invariant ellipsoid technique

M. V. Khlebnikova, B. T. Polyaka, V. M. Kuntsevichb

a Trapeznikov Institute of Control Science, Russian Academy of Science, Moscow, Russia
b Institute of Space Research, National Academy of Sciences and National Space Agency, Kiev, Ukraine
Full-text PDF (626 kB) Citations (78)
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Abstract: This survey covers a variety of results associated with control of systems subjected to arbitrary bounded exogenous disturbances. The method of invariant ellipsoids reduces the design of optimal controllers to finding the smallest invariant ellipsoid of the closed-loop dynamical system. The main tool of this approach is the linear matrix inequality technique. This simple yet versatile approach has high potential in extensions and generalizations; it is equally applicable to both the continuous and discrete time versions of the problems.
Presented by the member of Editorial Board: A. P. Kurdyukov

Received: 06.06.2011
English version:
Automation and Remote Control, 2011, Volume 72, Issue 11, Pages 2227–2275
DOI: https://doi.org/10.1134/S0005117911110026
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. V. Khlebnikov, B. T. Polyak, V. M. Kuntsevich, “Optimization of linear systems subject to bounded exogenous disturbances: The invariant ellipsoid technique”, Avtomat. i Telemekh., 2011, no. 11, 9–59; Autom. Remote Control, 72:11 (2011), 2227–2275
Citation in format AMSBIB
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\paper Optimization of linear systems subject to bounded exogenous disturbances: The invariant ellipsoid technique
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\pages 9--59
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    • This publication is cited in the following 78 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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