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Avtomatika i Telemekhanika, 2011, Issue 11, Pages 157–173 (Mi at2868)  
This article is cited in 12 scientific papers (total in 12 papers)

Stochastic Systems

Linear-quadratic parametrization of stabilizing controls in discrete-time 2D systems

P. V. Pakshina, K. Gałkowskib, E. Rogersc

a Polytechnic Institute of Alekseev State Technical University, Arzamas, Russia
b Institute of Control and Computation Engineering, University of Zielona Góra, Zielona Góra, Poland
c School of Electronics and Computer Science, University of Southampton, Southampton, United Kingdom
Full-text PDF (265 kB) Citations (12)
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Abstract: This paper considers a class of linear discrete-time 2D systems in the form of repetitive processes with uncertain parameters. Using LQR theory ideas a parametric description of stabilizing controls via output feedback is developed, which leads to the development of efficient LMI-based algorithms for computation of the gain matrix. The results are extended to repetitive processes with Markovian jumps, and a numerical example is given to demonstrate the application of the algorithm developed to the synthesis of stabilizing control laws.
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 2364–2378
DOI: https://doi.org/10.1134/S0005117911110117
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: P. V. Pakshin, K. Gałkowski, E. Rogers, “Linear-quadratic parametrization of stabilizing controls in discrete-time 2D systems”, Avtomat. i Telemekh., 2011, no. 11, 157–173; Autom. Remote Control, 72:11 (2011), 2364–2378
Citation in format AMSBIB
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\paper Linear-quadratic parametrization of stabilizing controls in discrete-time 2D systems
\jour Avtomat. i Telemekh.
\yr 2011
\issue 11
\pages 157--173
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\transl
\jour Autom. Remote Control
\yr 2011
\vol 72
\issue 11
\pages 2364--2378
\crossref{https://doi.org/10.1134/S0005117911110117}
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  • https://www.mathnet.ru/eng/at/y2011/i11/p157
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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