Algorithm for the quenching of several spacecraft oscillations of the same frequency

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Algorithm for the quenching of several spacecraft oscillations of the same frequency. / Babadzanjanz, L. K.; Pototskaya, I. Yu ; Pupysheva, Yu Yu ; Alesova, I. M.

In: International Multidisciplinary Scientific GeoConference Surveying Geology and Mining Ecology Management, SGEM, Vol. 2020-August, No. 6.1, 2020, p. 687-694.

Research output: Contribution to journal › Conference article › peer-review

Author

Babadzanjanz, L. K. ; Pototskaya, I. Yu ; Pupysheva, Yu Yu ; Alesova, I. M. / Algorithm for the quenching of several spacecraft oscillations of the same frequency. In: International Multidisciplinary Scientific GeoConference Surveying Geology and Mining Ecology Management, SGEM. 2020 ; Vol. 2020-August, No. 6.1. pp. 687-694.

BibTeX

@article{e376047692b8452b9c3e408a25c81e19,

title = "Algorithm for the quenching of several spacecraft oscillations of the same frequency",

abstract = "The problem of quenching small vibrations of a mechanical system near its equilibrium position is considered. A method for finding switching points of piecewise constant control for simultaneous damping of several vibrations of the same frequency is proposed. As an optimized functional {"}the Expenditure{"}is considered. The method leads to explicit formulas. All results of research are formulated as the theorem. As an example the problem of stabilizing the spacecraft's rotation axis is considered. The mathematical model of this problem coincides with the problem of a solid body rotational motion in a uniform gravity field (the {"}sleeping top{"}problem). Presented results can be applied not only in mechanical controlled systems, but also in any problem that can be described by the system of ordinary differential equations with control.",

keywords = "Expenditure optimization, Optimal control of mechanical systems, Optimization of consummation, Piecewise constant control",

author = "Babadzanjanz, {L. K.} and Pototskaya, {I. Yu} and Pupysheva, {Yu Yu} and Alesova, {I. M.}",

note = "Publisher Copyright: Copyright {\textcopyright} SGEM WORLD SCIENCE (SWS) Society 2020. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.; 20th International Multidisciplinary Scientific Geoconference ; Conference date: 18-08-2020 Through 24-08-2020",

year = "2020",

doi = "10.5593/sgem2020/6.1/s28.089",

language = "English",

volume = "2020-August",

pages = "687--694",

journal = "International Multidisciplinary Scientific GeoConference-SGEM",

issn = "1314-2704",

publisher = "International Multidisciplinary Scientific Geoconference",

number = "6.1",

url = "https://vk.com/geoconference, https://www.sgem.org/",

}

RIS

TY - JOUR

T1 - Algorithm for the quenching of several spacecraft oscillations of the same frequency

AU - Babadzanjanz, L. K.

AU - Pototskaya, I. Yu

AU - Pupysheva, Yu Yu

AU - Alesova, I. M.

N1 - Conference code: 20

PY - 2020

Y1 - 2020

N2 - The problem of quenching small vibrations of a mechanical system near its equilibrium position is considered. A method for finding switching points of piecewise constant control for simultaneous damping of several vibrations of the same frequency is proposed. As an optimized functional "the Expenditure"is considered. The method leads to explicit formulas. All results of research are formulated as the theorem. As an example the problem of stabilizing the spacecraft's rotation axis is considered. The mathematical model of this problem coincides with the problem of a solid body rotational motion in a uniform gravity field (the "sleeping top"problem). Presented results can be applied not only in mechanical controlled systems, but also in any problem that can be described by the system of ordinary differential equations with control.

AB - The problem of quenching small vibrations of a mechanical system near its equilibrium position is considered. A method for finding switching points of piecewise constant control for simultaneous damping of several vibrations of the same frequency is proposed. As an optimized functional "the Expenditure"is considered. The method leads to explicit formulas. All results of research are formulated as the theorem. As an example the problem of stabilizing the spacecraft's rotation axis is considered. The mathematical model of this problem coincides with the problem of a solid body rotational motion in a uniform gravity field (the "sleeping top"problem). Presented results can be applied not only in mechanical controlled systems, but also in any problem that can be described by the system of ordinary differential equations with control.

KW - Expenditure optimization

KW - Optimal control of mechanical systems

KW - Optimization of consummation

KW - Piecewise constant control

UR - http://www.scopus.com/inward/record.url?scp=85099754228&partnerID=8YFLogxK

U2 - 10.5593/sgem2020/6.1/s28.089

DO - 10.5593/sgem2020/6.1/s28.089

M3 - Conference article

AN - SCOPUS:85099754228

VL - 2020-August

SP - 687

EP - 694

JO - International Multidisciplinary Scientific GeoConference-SGEM

JF - International Multidisciplinary Scientific GeoConference-SGEM

SN - 1314-2704

IS - 6.1

T2 - 20th International Multidisciplinary Scientific Geoconference

Y2 - 18 August 2020 through 24 August 2020

ER -

ID: 76121071