On the application of the averaging approach in the problem of Lorentz attitude stabilization of a satellite

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Abstract

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.

Original languageEnglish
Title of host publicationXLIV Academic Space Conference
Subtitle of host publicationDedicated to the Memory of Academician S.P. Korolev and Other Outstanding Russian Scientists - Pioneers of Space Exploration
EditorsEvgeny A. Mikrin, Dmitry O. Rogozin, Anatoly A. Aleksandrov, Victor A. Sadovnichy, Igor B. Fedorov, Vera I. Mayorova
PublisherAmerican Institute of Physics
ISBN (Electronic)9780735440609
DOIs
StatePublished - 22 Feb 2021
Event44th Academic Space Conference: Dedicated to the Memory of Academician S.P. Korolev and Other Outstanding Russian Scientists - Pioneers of Space Exploration - Moscow, Russian Federation
Duration: 28 Jan 202031 Jan 2020

Publication series

NameAIP Conference Proceedings
Volume2318
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference44th Academic Space Conference: Dedicated to the Memory of Academician S.P. Korolev and Other Outstanding Russian Scientists - Pioneers of Space Exploration
CountryRussian Federation
CityMoscow
Period28/01/2031/01/20

Scopus subject areas

  • Physics and Astronomy(all)

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