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Avtomatika i Telemekhanika, 2011, Issue 9, Pages 61–73 (Mi at2274)  

This article is cited in 8 scientific papers (total in 8 papers)

Topical issue

Simultaneous stabilization: Universal controller synthesis

S. K. Korovin, A. S. Fursov

Moscow State University, Moscow, Russia
Full-text PDF (231 kB) Citations (8)
References:
Abstract: We consider the simultaneous stabilization problem for linear time-invariant stationary objects of arbitrary order. For such objects, we formulate numerically verifiable necessary and sufficient simultaneous stabilization conditions and show a constructive algorithm for the construction of a stabilizing controller with minimal restrictions on the structure and parameters of the stabilized objects. We give a general scheme of studying simultaneous stabilizability of a family of objects and analyze in detail a numerical algorithm for finding a stabilizing controller with applied interval analysis. To solve the problem, we use an approach based on the study of affine transformations of controller parameter spaces into the spaces of coefficients of denominators of closed-loop objects.
Presented by the member of Editorial Board: L. B. Rapoport

Received: 12.04.2011
English version:
Automation and Remote Control, 2011, Volume 72, Issue 9, Pages 1852–1863
DOI: https://doi.org/10.1134/S0005117911090074
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. K. Korovin, A. S. Fursov, “Simultaneous stabilization: Universal controller synthesis”, Avtomat. i Telemekh., 2011, no. 9, 61–73; Autom. Remote Control, 72:9 (2011), 1852–1863
Citation in format AMSBIB
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\by S.~K.~Korovin, A.~S.~Fursov
\paper Simultaneous stabilization: Universal controller synthesis
\jour Avtomat. i Telemekh.
\yr 2011
\issue 9
\pages 61--73
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\zmath{https://zbmath.org/?q=an:1230.93071}
\transl
\jour Autom. Remote Control
\yr 2011
\vol 72
\issue 9
\pages 1852--1863
\crossref{https://doi.org/10.1134/S0005117911090074}
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Linking options:
  • https://www.mathnet.ru/eng/at2274
  • https://www.mathnet.ru/eng/at/y2011/i9/p61
  • This publication is cited in the following 8 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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    Abstract page:372
    Full-text PDF :154
    References:54
    First page:21
     
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