×

Parametric control in the problem of spacecraft stabilization in the geomagnetic field. (English. Russian original) Zbl 1145.93308

Autom. Remote Control 68, No. 8, 1333-1344 (2007); translation from Avtom. Telemekh. 2007, No. 8, 44-56 (2007).
Summary: The spacecraft interacting with the geomagnetic field in electrodynamic mode is subject to parametric perturbations; parameters of the spacecraft are controlled quasi-periodic functions. Under some conditions, there exist control algorithms for spacecraft electrodynamic parameters that allow realizing systems of spacecraft angular position stabilization. Stability of the spacecraft stabilized orientation is proved both analytically and by PC computations.

MSC:

93A30 Mathematical modelling of systems (MSC2010)
93C95 Application models in control theory
93B51 Design techniques (robust design, computer-aided design, etc.)
Full Text: DOI

References:

[1] Kovalenko, A.P., Magnitnye sistemy upravleniya kosmicheskimi letatel’nymi apparatami (Magnetic Systems for Spaceship Control), Moscow: Mashinostroenie, 1975.
[2] Alpatov, A.P., Dranovskii, V.I., Saltykov, Yu.D., and Khoroshilov, V.S., Dinamika kosmicheskikh apparatov s magnitnymi sistemami upravleniya (Dynamics of Spacecraft with Magnetic Control Systems), Moscow: Mashinostroenie, 1978.
[3] Tikhonov, A.A., The Method of Semi-passive Stabilization of Spacecraft in the Geomagnetic Field, Kosm. Issled., 2003, vol. 41, no. 1, pp. 69–79.
[4] Petrov, K.G. and Tikhonov, A.A., The Moment of Lorentz Forces Exerting on the Charged Satellite in the Geomagnetic Field, II, Vestn. S.-Peterburg. Univ., Ser. 1, 1999, issue 3 (no. 15), pp. 81–91. · Zbl 1019.78006
[5] Mandea, M., MacMillan, S., Bondar, T., Gorovkov, V., et al., International Geomagnetic Reference Field–2000, Phys. Earth Planetary Interiors, 2000, vol. 120, pp. 39–42. · doi:10.1016/S0031-9201(00)00153-9
[6] Antipov, K.A., Petrov, K.G., and Tikhonov, A.A., The Electrodynamic Method for Triaxial Stabilization of Dynamically Symmetric Spacecraft, Vestn. S.-Peterburg. Univ., Ser. 1, 2006, issue 1 (no. 1), pp. 75–86.
[7] Sarychev, V.A., Questions of Artificial Satellite Orientation, in Issledovanie kosmicheskogo prostranstva, tom 11, Itogi nauki i techniki VINITI AN SSSR (Space Exploration, vol. 11, Science and Technology of the All-Union Institute for Scientific and Technical Information of the USSR Academy of Scences), Moscow: VINITI, 1978.
[8] Martynyuk, A.A., Lakshmikantam, V., and Lila, S., Ustoichivost’ dvizheniya: metod integral’nykh neravenstv (Stability of Motion: The Integral Inequality Method), Kiev: Naukova Dumka, 1989.
[9] Malkin, I.G., Teoriya ustoichivosti dvizheniya (Theory of Motion Stability), Moscow: Nauka, 1966.
[10] Beletskii, V.V., Dvizhenie sputnika otnositel’no tsentra mass v gravitatsionnom pole (Satellite Motion with Respect to the Center of Mass in the Gravitational Field), Moscow: Mosk. Gos. Univ., 1975.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.