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Avtomatika i Telemekhanika, 2011, Issue 4, Pages 43–56 (Mi at1688)  

This article is cited in 13 scientific papers (total in 13 papers)

Nonlinear Systems

Control of nonlinear plants with state-dependent coefficients

V. N. Afanas'ev

Moscow State Institute of Electronics and Mathematics, Moscow, Russia
References:
Abstract: The theoretical fundamentals for solving the linear quadratic problems may be sometimes used to design the control actions for the nonlinear systems. The method relying on the Riccati equation with state-dependent coefficients is one of the promising and rapidly developing tools for design of the nonlinear controllers. The set of possible suboptimal solutions is generated by the ambiguous representation of the nonlinear system as a linearly structured system with state-dependent coefficients and the lack of sufficiently universal algorithms to solve the Riccati equation also having state-dependent coefficients. The paper proposed a method to design a guaranteed control for the uncertain nonlinear plant with state-dependent parameters. An example of designing the controller for an uncertain nonlinear system was presented.
Presented by the member of Editorial Board: A. L. Fradkov

Received: 01.04.2010
English version:
Automation and Remote Control, 2011, Volume 72, Issue 4, Pages 713–726
DOI: https://doi.org/10.1134/S0005117911040047
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. N. Afanas'ev, “Control of nonlinear plants with state-dependent coefficients”, Avtomat. i Telemekh., 2011, no. 4, 43–56; Autom. Remote Control, 72:4 (2011), 713–726
Citation in format AMSBIB
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\paper Control of nonlinear plants with state-dependent coefficients
\jour Avtomat. i Telemekh.
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\pages 43--56
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\transl
\jour Autom. Remote Control
\yr 2011
\vol 72
\issue 4
\pages 713--726
\crossref{https://doi.org/10.1134/S0005117911040047}
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Linking options:
  • https://www.mathnet.ru/eng/at1688
  • https://www.mathnet.ru/eng/at/y2011/i4/p43
  • This publication is cited in the following 13 articles:
    1. Yulia Danik, Mikhail Dmitriev, 2024 International Russian Smart Industry Conference (SmartIndustryCon), 2024, 845  crossref
    2. Danik Yu. Dmitriev M., “Symbolic Regulator Sets For a Weakly Nonlinear Discrete Control System With a Small Step”, Mathematics, 10:3 (2022), 487  crossref  isi
    3. Yulia Danik, Mikhail Dmitriev, 2022 International Russian Automation Conference (RusAutoCon), 2022, 587  crossref
    4. Mikhail Dmitriev, Zainelkhriet Murzabekov, Gulbanu Mirzakhmedova, 2021 17th International Asian School-Seminar "Optimization Problems of Complex Systems (OPCS), 2021, 23  crossref
    5. Yulia Danik, Mikhail Dmitriev, 2021 14th International Conference Management of large-scale system development (MLSD), 2021, 1  crossref
    6. G. K. Shadrin, “Synthesis of a Control Algorithm for Nonlinear Plant Using Correction of Controlled Plant Dynamics and Compensation of Perturbations”, Mehatronika, avtomatizaciâ, upravlenie, 21:12 (2020), 667  crossref
    7. Kabanov A.A., Dubovik S.A., International Conference: Information Technologies in Business and Industry, Journal of Physics Conference Series, 1333, eds. Martyushev N., Malozemov B., Faerman V., IOP Publishing Ltd, 2019  crossref  isi  scopus
    8. Proletarsky A.V., Neusypin K.A., Shen K., Selezneva M.S., Grout V., “Development and Analysis of the Numerical Criterion For the Degree of Observability of State Variables in Nonlinear Systems”, Proceedings of the 2017 7Th International Conference Internet Technologies and Applications (Ita), eds. Picking R., Cunningham S., Houlden N., Oram D., Grout V., Mayers J., AbdAlhameed R., Liggett S., Vag, IEEE, 2017, 150–154  crossref  isi
    9. Dmitriev M.G., Makarov D.A., “The Suboptimality of Stabilizing Regulator in a Quasilinear System With State-Depended Coefficients”, IEEE International Siberian Conference on Control and Communications, SIBCON 2016, ed. Stukach O., IEEE, 2016  isi
    10. M. G. Dmitriev, D. A. Makarov, 2016 International Siberian Conference on Control and Communications (SIBCON), 2016, 1  crossref
    11. V. N. Afanasev, A. A. Semion, “Regulyator s diskretno izmenyaemymi parametrami”, Probl. upravl., 5 (2014), 14–19  mathnet
    12. V. N. Andryukhina, V. N. Afanasev, “Garantiruyuschee upravlenie v zadache primeneniya antivirusnykh preparatov i rezultaty matematicheskogo modelirovaniya”, Probl. upravl., 3 (2012), 41–48  mathnet
    13. Afanasiev V.N., “Guaranteed Control of Feedback Linearizable Nonlinear Object”, 9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences (Icnpaa 2012), AIP Conference Proceedings, 1493, ed. Sivasundaram S., Amer Inst Physics, 2012, 13–19  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
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