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Avtomatika i Telemekhanika, 2022, Issue 3, Pages 7–32
DOI: https://doi.org/10.31857/S0005231022030023 (Mi at15821) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Linear Systems

Observer-aided output feedback synthesis as an optimization problem

B. T. Polyakab, M. V. Khlebnikovba

a Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, 117997 Russia
b Moscow Institute of Physics and Technology, Dolgoprudnyi, Moscow oblast, 141701 Russia
Full-text PDF (480 kB) First page Citations (5)
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DOI: https://doi.org/10.31857/S0005231022030023
Abstract: A new approach is proposed for solving the problem of suppressing nonrandom bounded exogenous disturbances in linear control systems using dynamic output feedback. The approach is based on reducing the problem to a matrix optimization problem with the feedback matrix and the observer matrix as the variables. A gradient method for finding dynamic output feedback is written out and justified. A number of examples are considered.
Keywords: linear system, exogenous disturbance, output feedback, observer, optimization, Lyapunov equation, gradient method, Newton method, convergence.
Funding agency Grant number
Russian Science Foundation 21-71-30005
This work was supported by the Russian Science Foundation, project no. 21-71-30005.
Presented by the member of Editorial Board: P. S. Shcherbakov

Received: 02.11.2021
Revised: 10.12.2021
Accepted: 24.12.2021
English version:
Automation and Remote Control, 2022, Volume 83, Issue 3, Pages 303–324
DOI: https://doi.org/10.1134/S0005117922030018
Document Type: Article
Language: Russian
Citation: B. T. Polyak, M. V. Khlebnikov, “Observer-aided output feedback synthesis as an optimization problem”, Avtomat. i Telemekh., 2022, no. 3, 7–32; Autom. Remote Control, 83:3 (2022), 303–324
Citation in format AMSBIB
\Bibitem{PolKhl22}
\by B.~T.~Polyak, M.~V.~Khlebnikov
\paper Observer-aided output feedback synthesis as an optimization problem
\jour Avtomat. i Telemekh.
\yr 2022
\issue 3
\pages 7--32
\mathnet{http://mi.mathnet.ru/at15821}
\crossref{https://doi.org/10.31857/S0005231022030023}
\transl
\jour Autom. Remote Control
\yr 2022
\vol 83
\issue 3
\pages 303--324
\crossref{https://doi.org/10.1134/S0005117922030018}
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  • https://www.mathnet.ru/eng/at/y2022/i3/p7
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    This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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