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Avtomatika i Telemekhanika, 2019, Issue 9, Pages 156–172
DOI: https://doi.org/10.1134/S0005231019090113 (Mi at15347) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Synthesis of anisotropic suboptimal PID controller for linear discrete time-invariant system with scalar control input and measured output

M. M. Tchaikovskyab, V. N. Timinb, A. P. Kurdyukovb

a Academician Pilyugin Center, Moscow, Russia
b Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.1134/S0005231019090113
Abstract: This paper considers the problem of synthesis of a proportional-integral-derivative control law (PID controller) for a linear discrete time-invariant system with scalar control input and measured output operating under influence of the stochastic disturbances with uncertainty described in terms of the mean anisotropy. The closed-loop system abilities to attenuate the disturbances are quantitatively characterized by the anisotropic norm. Sufficient existence conditions for the anisotropic suboptimal controller that stabilizes the closed-loop system and guarantees that its anisotropic norm is strictly bounded by a given threshold value are derived.
Keywords: PID controller, mean anisotropy, norm, suboptimal control, convex optimization.
Funding agency Grant number
Russian Foundation for Basic Research 17-08-00185_а
Russian Academy of Sciences - Federal Agency for Scientific Organizations 15
This work is partially supported by Program 15 of Division of Power Engineering, MachineBuilding, Mechanics and Control Processes of Russian Academy of Sciences and Russian Foundation for Basic Research, project no. 17-08-00185.

Received: 28.06.2018
Revised: 09.09.2018
Accepted: 08.11.2018
English version:
Automation and Remote Control, 2019, Volume 80, Issue 9, Pages 1681–1693
DOI: https://doi.org/10.1134/S0005117919090091
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. M. Tchaikovsky, V. N. Timin, A. P. Kurdyukov, “Synthesis of anisotropic suboptimal PID controller for linear discrete time-invariant system with scalar control input and measured output”, Avtomat. i Telemekh., 2019, no. 9, 156–172; Autom. Remote Control, 80:9 (2019), 1681–1693
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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