Optimal damping stabilisation based on LQR synthesis

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Optimal damping stabilisation based on LQR synthesis. / Veremey, Evgeny I.

In: International Journal of Systems Science, Vol. 52, No. 7, 2021, p. 1359 - 1372.

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

Author

Veremey, Evgeny I. / Optimal damping stabilisation based on LQR synthesis. In: International Journal of Systems Science. 2021 ; Vol. 52, No. 7. pp. 1359 - 1372.

BibTeX

@article{8c57224dda6e4d0eb3f7121fe0f6e96d,

title = "Optimal damping stabilisation based on LQR synthesis",

abstract = "Significant attention is currently being paid to the synthesis of stabilising controllers for nonlinear and non-autonomous plants. We aimed to present a new method for nonlinear time-dependent control law design based on the application of Zubov{\textquoteright}s optimal damping concept. This theory is used to reduce significant computational costs in solving optimal stabilisation problems. The main contribution is the proposition of a new methodology for selecting the functional to be damped. The central idea is to perform parameterisation of a set of admissible items for the mentioned functional. As a particular case, a new method of this parameterisation has been developed, which can be used for constructing an approximate solution of the classical optimisation problem. The emphasis is on the specific choice of the functional to be damped using LQR control to provide the desirable stability and performance features of the closed-loop connection. The applicability and effectiveness of the proposed approach are confirmed using a practical numerical example of the convey-crane control.",

keywords = "damping control, Feedback, functional, optimisation, stability",

author = "Veremey, {Evgeny I.}",

note = "Funding Information: This work was supported by the Russian Foundation for Basic Research (RFBR) [research project number 20-07-00531] controlled by the Government of Russian Federation. Publisher Copyright: {\textcopyright} 2020 Informa UK Limited, trading as Taylor & Francis Group. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",

year = "2021",

doi = "10.1080/00207721.2020.1856969",

language = "English",

volume = "52",

pages = "1359 -- 1372",

journal = "International Journal of Systems Science",

issn = "0020-7721",

publisher = "Taylor & Francis",

number = "7",

}

RIS

TY - JOUR

T1 - Optimal damping stabilisation based on LQR synthesis

AU - Veremey, Evgeny I.

N1 - Funding Information: This work was supported by the Russian Foundation for Basic Research (RFBR) [research project number 20-07-00531] controlled by the Government of Russian Federation. Publisher Copyright: © 2020 Informa UK Limited, trading as Taylor & Francis Group. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2021

Y1 - 2021

N2 - Significant attention is currently being paid to the synthesis of stabilising controllers for nonlinear and non-autonomous plants. We aimed to present a new method for nonlinear time-dependent control law design based on the application of Zubov’s optimal damping concept. This theory is used to reduce significant computational costs in solving optimal stabilisation problems. The main contribution is the proposition of a new methodology for selecting the functional to be damped. The central idea is to perform parameterisation of a set of admissible items for the mentioned functional. As a particular case, a new method of this parameterisation has been developed, which can be used for constructing an approximate solution of the classical optimisation problem. The emphasis is on the specific choice of the functional to be damped using LQR control to provide the desirable stability and performance features of the closed-loop connection. The applicability and effectiveness of the proposed approach are confirmed using a practical numerical example of the convey-crane control.

AB - Significant attention is currently being paid to the synthesis of stabilising controllers for nonlinear and non-autonomous plants. We aimed to present a new method for nonlinear time-dependent control law design based on the application of Zubov’s optimal damping concept. This theory is used to reduce significant computational costs in solving optimal stabilisation problems. The main contribution is the proposition of a new methodology for selecting the functional to be damped. The central idea is to perform parameterisation of a set of admissible items for the mentioned functional. As a particular case, a new method of this parameterisation has been developed, which can be used for constructing an approximate solution of the classical optimisation problem. The emphasis is on the specific choice of the functional to be damped using LQR control to provide the desirable stability and performance features of the closed-loop connection. The applicability and effectiveness of the proposed approach are confirmed using a practical numerical example of the convey-crane control.

KW - damping control

KW - Feedback

KW - functional

KW - optimisation

KW - stability

UR - http://www.scopus.com/inward/record.url?scp=85097519804&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/19c1df8d-f0eb-3ae4-92e1-e3bac3a08ff8/

U2 - 10.1080/00207721.2020.1856969

DO - 10.1080/00207721.2020.1856969

M3 - Article

AN - SCOPUS:85097519804

VL - 52

SP - 1359

EP - 1372

JO - International Journal of Systems Science

JF - International Journal of Systems Science

SN - 0020-7721

IS - 7

ER -

ID: 72071256