Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
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. ред. / Theodore E. Simos; Theodore E. Simos; Charalambos Tsitouras; Theodore E. Simos. American Institute of Physics, 2016. 160009 (AIP Conference Proceedings; Том 1738).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
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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
N1 - Publisher Copyright: © 2016 Author(s). Copyright: Copyright 2016 Elsevier B.V., All rights reserved.
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 - 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