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К теории конструктивного построения линейного регулятора. / Kamachkin, A. M.; Stepenko, N. A.; Chitrov, G. M.

In: Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya, Vol. 16, No. 3, 2020, p. 326-344.

Research output: Contribution to journal › Article › peer-review

Harvard

Kamachkin, AM, Stepenko, NA & Chitrov, GM 2020, 'К теории конструктивного построения линейного регулятора', Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya, vol. 16, no. 3, pp. 326-344. https://doi.org/10.21638/11701/SPBU10.2020.309

APA

Kamachkin, A. M., Stepenko, N. A., & Chitrov, G. M. (2020). К теории конструктивного построения линейного регулятора. Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya, 16(3), 326-344. https://doi.org/10.21638/11701/SPBU10.2020.309

Vancouver

Kamachkin AM, Stepenko NA, Chitrov GM. К теории конструктивного построения линейного регулятора. Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya. 2020;16(3):326-344. https://doi.org/10.21638/11701/SPBU10.2020.309

Author

Kamachkin, A. M. ; Stepenko, N. A. ; Chitrov, G. M. / К теории конструктивного построения линейного регулятора. In: Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya. 2020 ; Vol. 16, No. 3. pp. 326-344.

BibTeX

@article{061f9ca736bb43448150736206e465b6,
title = "К теории конструктивного построения линейного регулятора",
abstract = "The classical problem of stationary stabilization with respect to the state of a linear stationary control system is investigated. Efficient, easily algorithmic methods for constructing controllers of controlled systems are considered: the method of V. I. Zubov and the method of P. Brunovsky. The most successful modifications are indicated to facilitate the construction of a linear controller. A new modification of the construction of a linear regulator is proposed using the transformation of the matrix of the original system into a block-diagonal form. This modification contains all the advantages of both V. I. Zubov's method and P. Brunovsky's method, and allows one to reduce the problem with multidimensional control to the problem of stabilizing a set of independent subsystems with scalar control for each subsystem.",
keywords = "Controllable canonical forms, Linear regulator, Stabilization of movements, stabilization of movements, linear regulator, controllable canonical forms, FORMS",
author = "Kamachkin, {A. M.} and Stepenko, {N. A.} and Chitrov, {G. M.}",
note = "Publisher Copyright: {\textcopyright} 2020 Saint Petersburg State University. All rights reserved. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",
year = "2020",
doi = "10.21638/11701/SPBU10.2020.309",
language = "русский",
volume = "16",
pages = "326--344",
journal = " ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ",
issn = "1811-9905",
publisher = "Издательство Санкт-Петербургского университета",
number = "3",

}

RIS

TY - JOUR

T1 - К теории конструктивного построения линейного регулятора

AU - Kamachkin, A. M.

AU - Stepenko, N. A.

AU - Chitrov, G. M.

N1 - Publisher Copyright: © 2020 Saint Petersburg State University. All rights reserved. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020

Y1 - 2020

N2 - The classical problem of stationary stabilization with respect to the state of a linear stationary control system is investigated. Efficient, easily algorithmic methods for constructing controllers of controlled systems are considered: the method of V. I. Zubov and the method of P. Brunovsky. The most successful modifications are indicated to facilitate the construction of a linear controller. A new modification of the construction of a linear regulator is proposed using the transformation of the matrix of the original system into a block-diagonal form. This modification contains all the advantages of both V. I. Zubov's method and P. Brunovsky's method, and allows one to reduce the problem with multidimensional control to the problem of stabilizing a set of independent subsystems with scalar control for each subsystem.

AB - The classical problem of stationary stabilization with respect to the state of a linear stationary control system is investigated. Efficient, easily algorithmic methods for constructing controllers of controlled systems are considered: the method of V. I. Zubov and the method of P. Brunovsky. The most successful modifications are indicated to facilitate the construction of a linear controller. A new modification of the construction of a linear regulator is proposed using the transformation of the matrix of the original system into a block-diagonal form. This modification contains all the advantages of both V. I. Zubov's method and P. Brunovsky's method, and allows one to reduce the problem with multidimensional control to the problem of stabilizing a set of independent subsystems with scalar control for each subsystem.

KW - Controllable canonical forms

KW - Linear regulator

KW - Stabilization of movements

KW - stabilization of movements

KW - linear regulator

KW - controllable canonical forms

KW - FORMS

UR - http://www.scopus.com/inward/record.url?scp=85097465694&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/ffcd6d62-632c-3508-b9fa-73c9e48c1668/

U2 - 10.21638/11701/SPBU10.2020.309

DO - 10.21638/11701/SPBU10.2020.309

M3 - статья

AN - SCOPUS:85097465694

VL - 16

SP - 326

EP - 344

JO - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ

JF - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ

SN - 1811-9905

IS - 3

ER -

ID: 72034872