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Avtomatika i Telemekhanika, 2011, Issue 10, Pages 39–51 (Mi at2288)  

This article is cited in 1 scientific paper (total in 1 paper)

Topical issue

Synthesis of digital $H_\infty$-controllers for multidimensional systems with given accuracy with the mean squared criterion

Zh. V. Zatsepilovaa, V. N. Chestnovb

a Moscow State Institute of Steel and Alloys, Moscow, Russia
b Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (275 kB) Citations (1)
References:
Abstract: We consider linear multidimensional objects subject to power bounded polyharmonic perturbances and measurement noise that contains an arbitrary number of harmonics with unknown amplitudes and frequencies. For such objects, we propose a synthesis method for digital state controllers and controllers with respect to measurable output. The problem of guaranteeing a desired accuracy is formulated as the problem of guaranteeing a given mean squared radius of the stabilized state [1]; our solution of this problem is based on the choice of weight matrices in the minimal quadratic functional of a discrete $H_\infty$-optimization problem. We give a synthesis algorithm for a digital controller in the LMI Control Toolbox package and a numerical example for an interconnected electric drive.
Presented by the member of Editorial Board: B. T. Polyak

Received: 14.04.2011
English version:
Automation and Remote Control, 2011, Volume 72, Issue 10, Pages 2041–2052
DOI: https://doi.org/10.1134/S0005117911100055
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Zh. V. Zatsepilova, V. N. Chestnov, “Synthesis of digital $H_\infty$-controllers for multidimensional systems with given accuracy with the mean squared criterion”, Avtomat. i Telemekh., 2011, no. 10, 39–51; Autom. Remote Control, 72:10 (2011), 2041–2052
Citation in format AMSBIB
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\by Zh.~V.~Zatsepilova, V.~N.~Chestnov
\paper Synthesis of digital $H_\infty$-controllers for multidimensional systems with given accuracy with the mean squared criterion
\jour Avtomat. i Telemekh.
\yr 2011
\issue 10
\pages 39--51
\mathnet{http://mi.mathnet.ru/at2288}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2905980}
\zmath{https://zbmath.org/?q=an:1229.93061}
\transl
\jour Autom. Remote Control
\yr 2011
\vol 72
\issue 10
\pages 2041--2052
\crossref{https://doi.org/10.1134/S0005117911100055}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000297404900005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80155123532}
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  • https://www.mathnet.ru/eng/at2288
  • https://www.mathnet.ru/eng/at/y2011/i10/p39
  • This publication is cited in the following 1 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:274
    Full-text PDF :66
    References:47
    First page:12
     
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