Optimal damping of fast-linear oscillations of stationary satellite with the flywheel

Standard

Optimal damping of fast-linear oscillations of stationary satellite with the flywheel. / Babadzanjanz, Levon K.; Pototskaya, Irina Yu ; Pupysheva, Yulia Yu.

International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015. ed. / Theodore E. Simos; Theodore E. Simos; Charalambos Tsitouras; Theodore E. Simos. American Institute of Physics, 2016. 160009 (AIP Conference Proceedings; Vol. 1738).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Harvard

Babadzanjanz, LK , Pototskaya, IY & Pupysheva, YY 2016, Optimal damping of fast-linear oscillations of stationary satellite with the flywheel. in TE Simos, TE Simos, C Tsitouras & TE Simos (eds), International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015., 160009, AIP Conference Proceedings, vol. 1738, American Institute of Physics, International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015, Rhodes, Greece, 23/09/15. https://doi.org/10.1063/1.4951942

APA

Babadzanjanz, L. K., Pototskaya, I. Y., & Pupysheva, Y. Y. (2016). Optimal damping of fast-linear oscillations of stationary satellite with the flywheel. In T. E. Simos, T. E. Simos, C. Tsitouras, & T. E. Simos (Eds.), International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015 [160009] (AIP Conference Proceedings; Vol. 1738). American Institute of Physics. https://doi.org/10.1063/1.4951942

Vancouver

Babadzanjanz LK , Pototskaya IY , Pupysheva YY. Optimal damping of fast-linear oscillations of stationary satellite with the flywheel. In Simos TE, Simos TE, Tsitouras C, Simos TE, editors, International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015. American Institute of Physics. 2016. 160009. (AIP Conference Proceedings). https://doi.org/10.1063/1.4951942

Author

Babadzanjanz, Levon K. ; Pototskaya, Irina Yu ; Pupysheva, Yulia Yu. / Optimal damping of fast-linear oscillations of stationary satellite with the flywheel. International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015. editor / Theodore E. Simos ; Theodore E. Simos ; Charalambos Tsitouras ; Theodore E. Simos. American Institute of Physics, 2016. (AIP Conference Proceedings).

BibTeX

@inproceedings{d61d4f4e23804651973fc4f0b49ab42a,

title = "Optimal damping of fast-linear oscillations of stationary satellite with the flywheel",

abstract = "The problem of damping of the satellite fast-linear oscillations about its center of mass on yaw and roll channels is considered. The satellite is moving along a stationary orbit and equipped with a hard spun flywheel with a kinematic momentum H. The controlled motion of the satellite can be represented by the linear ODE system with constant coefficients. The admissible control is a piecewise constant function that blanks fast frequency components of the solution of linear equations at the moment T. As {"}the expenditure{"} functional we use the integral of the sum of the modules of coordinates of the control along the interval [0, T]. The problem under consideration is to construct an admissible control which minimizes the expenditure. To solve this problem the method is proposed which leads to explicit formulas.",

keywords = "bang-bang control, control with expenditure criteria, controlled motion, fast-linear oscillations, vibrations nearby an equilibrium point",

author = "Babadzanjanz, {Levon K.} and Pototskaya, {Irina Yu} and Pupysheva, {Yulia Yu}",

note = "Publisher Copyright: {\textcopyright} 2016 Author(s). Copyright: Copyright 2016 Elsevier B.V., All rights reserved.; International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015, ICNAAM ; Conference date: 23-09-2015 Through 29-09-2015",

year = "2016",

month = jun,

day = "8",

doi = "10.1063/1.4951942",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics",

editor = "Simos, {Theodore E.} and Simos, {Theodore E.} and Charalambos Tsitouras and Simos, {Theodore E.}",

booktitle = "International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015",

address = "United States",

url = "https://elibrary.ru/item.asp?id=26404479, http://history.icnaam.org/icnaam_2015/index-2.html",

}

RIS

TY - GEN

T1 - Optimal damping of fast-linear oscillations of stationary satellite with the flywheel

AU - Babadzanjanz, Levon K.

AU - Pototskaya, Irina Yu

AU - Pupysheva, Yulia Yu

PY - 2016/6/8

Y1 - 2016/6/8

N2 - The problem of damping of the satellite fast-linear oscillations about its center of mass on yaw and roll channels is considered. The satellite is moving along a stationary orbit and equipped with a hard spun flywheel with a kinematic momentum H. The controlled motion of the satellite can be represented by the linear ODE system with constant coefficients. The admissible control is a piecewise constant function that blanks fast frequency components of the solution of linear equations at the moment T. As "the expenditure" functional we use the integral of the sum of the modules of coordinates of the control along the interval [0, T]. The problem under consideration is to construct an admissible control which minimizes the expenditure. To solve this problem the method is proposed which leads to explicit formulas.

AB - The problem of damping of the satellite fast-linear oscillations about its center of mass on yaw and roll channels is considered. The satellite is moving along a stationary orbit and equipped with a hard spun flywheel with a kinematic momentum H. The controlled motion of the satellite can be represented by the linear ODE system with constant coefficients. The admissible control is a piecewise constant function that blanks fast frequency components of the solution of linear equations at the moment T. As "the expenditure" functional we use the integral of the sum of the modules of coordinates of the control along the interval [0, T]. The problem under consideration is to construct an admissible control which minimizes the expenditure. To solve this problem the method is proposed which leads to explicit formulas.

KW - bang-bang control

KW - control with expenditure criteria

KW - controlled motion

KW - fast-linear oscillations

KW - vibrations nearby an equilibrium point

UR - http://www.scopus.com/inward/record.url?scp=84984572919&partnerID=8YFLogxK

U2 - 10.1063/1.4951942

DO - 10.1063/1.4951942

M3 - Conference contribution

T3 - AIP Conference Proceedings

BT - International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015

A2 - Simos, Theodore E.

A2 - Tsitouras, Charalambos

A2 - Simos, Theodore E.

PB - American Institute of Physics

T2 - International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015

Y2 - 23 September 2015 through 29 September 2015

ER -

ID: 7584244