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Avtomatika i Telemekhanika, 2021, Issue 7, Pages 86–106
DOI: https://doi.org/10.31857/S0005231021070059 (Mi at15305) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Nonlinear Systems

Analytical solution of the problem on an axisymmetric spacecraft attitude maneuver optimal with respect to a combined functional

Ya. G. Sapunkov, A. V. Molodenkov

Institute for Problems of Precision Mechanics and Control, Russian Academy of Sciences, Saratov, 410028 Russia
Full-text PDF (286 kB) Citations (9)
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DOI: https://doi.org/10.31857/S0005231021070059
Abstract: In the quaternionic setting, we consider the problem of optimal control of a spatial attitude maneuver of a spacecraft viewed as a rigid body with one symmetry axis without a constraint on the control function. For the optimality criterion we use a functional combining the time and energy spent on turning the spacecraft. Based on the Pontryagin maximum principle for this problem, new analytical solutions are obtained in the classes of conical and generalized conical motions. Numerical examples are given.
Keywords: optimal control, spacecraft, axisymmetric rigid body, analytical solution.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00205
This work was supported by the Russian Foundation for Basic Research, project no. 19-01-00205.
Presented by the member of Editorial Board: E. Ya. Rubinovich

Received: 07.07.2019
Revised: 24.02.2021
Accepted: 16.03.2021
English version:
Automation and Remote Control, 2021, Volume 82, Issue 7, Pages 1183–1200
DOI: https://doi.org/10.1134/S0005117921070043
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Ya. G. Sapunkov, A. V. Molodenkov, “Analytical solution of the problem on an axisymmetric spacecraft attitude maneuver optimal with respect to a combined functional”, Avtomat. i Telemekh., 2021, no. 7, 86–106; Autom. Remote Control, 82:7 (2021), 1183–1200
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
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