Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › Рецензирование
On the application of the averaging approach in the problem of Lorentz attitude stabilization of a satellite. / Aleksandrov, A. Yu; Tikhonov, A. A.
XLIV ACADEMIC SPACE CONFERENCE: DEDICATED TO THE MEMORY OF ACADEMICIAN S.P. KOROLEV AND OTHER OUTSTANDING RUSSIAN SCIENTISTS - PIONEERS OF SPACE EXPLORATION: Dedicated to the Memory of Academician S.P. Korolev and Other Outstanding Russian Scientists - Pioneers of Space Exploration. ред. / Evgeny A. Mikrin; Dmitry O. Rogozin; Anatoly A. Aleksandrov; Victor A. Sadovnichy; Igor B. Fedorov; Vera I. Mayorova. American Institute of Physics, 2021. 050007 (AIP Conference Proceedings; Том 2318).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › Рецензирование
}
TY - GEN
T1 - On the application of the averaging approach in the problem of Lorentz attitude stabilization of a satellite
AU - Aleksandrov, A. Yu
AU - Tikhonov, A. A.
N1 - Publisher Copyright: © 2021 American Institute of Physics Inc.. All rights reserved. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.
PY - 2021/2/22
Y1 - 2021/2/22
N2 - An Earth-pointing dynamically symmetric satellite with Lorentz attitude control system is under consideration. The problem of the satellite attitude stabilization in the orbital reference frame in the presence of gravitational disturbing torque is studied. The averaging technique is developed and applied in the problem. A rigorous mathematical justification is proposed, which makes it possible to obtain estimates for control parameters that provide asymptotic stability of the satellite equilibrium position and ensures satellite attitude stabilization despite the underactuation due to the Lorentz control torque. The proof is based on the averaging technique and the Lyapunov direct method. Original constructions of nonstationary Lyapunov functions are proposed. These constructions take into account the structure of perturbations acting on the considered system. The quadrupole approximation of the Earth's magnetic field is used.
AB - An Earth-pointing dynamically symmetric satellite with Lorentz attitude control system is under consideration. The problem of the satellite attitude stabilization in the orbital reference frame in the presence of gravitational disturbing torque is studied. The averaging technique is developed and applied in the problem. A rigorous mathematical justification is proposed, which makes it possible to obtain estimates for control parameters that provide asymptotic stability of the satellite equilibrium position and ensures satellite attitude stabilization despite the underactuation due to the Lorentz control torque. The proof is based on the averaging technique and the Lyapunov direct method. Original constructions of nonstationary Lyapunov functions are proposed. These constructions take into account the structure of perturbations acting on the considered system. The quadrupole approximation of the Earth's magnetic field is used.
KW - SPACECRAFT
KW - STABILITY
UR - http://www.scopus.com/inward/record.url?scp=85101707978&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/66b537d2-42e9-311f-973c-cb974719f1b9/
U2 - 10.1063/5.0036213
DO - 10.1063/5.0036213
M3 - Conference contribution
AN - SCOPUS:85101707978
T3 - AIP Conference Proceedings
BT - XLIV ACADEMIC SPACE CONFERENCE: DEDICATED TO THE MEMORY OF ACADEMICIAN S.P. KOROLEV AND OTHER OUTSTANDING RUSSIAN SCIENTISTS - PIONEERS OF SPACE EXPLORATION
A2 - Mikrin, Evgeny A.
A2 - Rogozin, Dmitry O.
A2 - Aleksandrov, Anatoly A.
A2 - Sadovnichy, Victor A.
A2 - Fedorov, Igor B.
A2 - Mayorova, Vera I.
PB - American Institute of Physics
T2 - 44th Academic Space Conference: Dedicated to the Memory of Academician S.P. Korolev and Other Outstanding Russian Scientists - Pioneers of Space Exploration
Y2 - 28 January 2020 through 31 January 2020
ER -
ID: 74834189