Optimal control laws of onboard coils for the reduction of angular momentum and damping of angular velocity of nanosatellites and microsatellites with magnetic coils on board


Obtaining a new optimal law of controlling onboard magnetic coils that would provide reduction of the angular momentum of nanosatellites and microsatellites to a predetermined small value and subsequently maintaining it is discussed in the paper. The study shows that the use of a new time-optimal control law contributes to a significant increase in the high speed performance of the magnetic attitude control system in the tasks of reducing angular momentum of satellites to small values. The problem of satellite angular rate damping in accordance with a reference model – a system of three independent linear homogeneous equations – is discussed as well. Some numerical results of the application of these laws to the problem of reduction of satellite angular momentum and angular velocity are presented. Advantages and drawbacks of the new time-optimal laws of control of angular momentum of nanosatellites and microsatellites are specified.

About the authors

V. V. Lyubimov

Samara National Research University

Author for correspondence.
Email: vlubimov@mail.ru

Doctor of Science (Engineering)
Assistant Professor, Head of the Department of Advanced Mathematics

Russian Federation

S. V. Podkletnova

Samara National Research University

Email: matema@narod.ru

Candidate of Physics and Mathematics
Associate Professor, Assistant Professor of the Department of Advanced Mathematics

Russian Federation


  1. Lyubimov V.V. External stability of resonances in the motion of an asymmetric rigid body with a strong magnet in the geomagnetic field. Mechanics of Solids. 2010.V. 45, Iss. 1. P. 10-21. doi: 10.3103/S0025654410010036
  2. Lyubimov V.V. Some features of disturbed rotational motion of a satellite with a strong onboard magnet. Russian Aeronautics. 2009. V. 52, Iss. 2. P. 172-175. doi: 10.3103/S106879980902007X
  3. Slavinskis A., Kvell U., Kulu E., Sünter I., Kuuste H., Lätt S., Voormansik K. and Noorma M. High spin rate magnetic controller for nanosatellites. Acta Astronautica. 2014. V. 95, Iss. 1. P. 218-226. doi: 10.1016/j.actaastro.2013.11.014
  4. Kovalenko A.P. Magnitnye sistemy upravleniya kosmicheskimi letatel'nymi apparatami [Magnetic spacecraft attitude control systems]. Moscow: Mashinostroenie Publ., 1975. 248 p.
  5. Kalaev M.P., Lyubimov V.V., Siomkin N.D. Seminatural modeling and numerical simulation for the process of the small satellite separation. Giroskopiya i navigatsiya. 2014. № 2 (85). P. 52-60. (In Russ.)
  6. Semkin N. D., Lyubimov V.V., Malyshev V.I. Modeling the operation laws of magnetic control devices with orientation a microsatellite along the local vertical. Physics of Wave Processes and Radio Systems. 2012. V. 15, no. 1. P.103-108. (In Russ.)
  7. Lebedev A.S., Lyubimov V.V., Semkin N.D. Maintenance of Orientation of Microsatellite With The Magnetic And Gravitational Executive Devices. All-Russian Scientific-Technical Journal «Polyot». 2012. No. 7. P. 39-44. (In Russ.)
  8. Lyubimov V.V., Podkletnova S.V. The calculation of control of the magnetic moments in the problem of damping of angular velocities of the cubic microsatellite. Izvestiya Samarskogo nauchnogo tsentra RAN. 2013. V. 15, no. 6 (4). P. 861-867. (In Russ.)
  9. Ovchinnikov M.Yu., Pen'kov V.I., Roldugin D.S., Karpenko S.O. Investigation of the effectiveness of an algorithm of active magnetic damping. Cosmic Research. 2012. V. 50, Iss. 2. P. 170-176. doi: 10.1134/S0010952512010078
  10. Lyubimov V.V., Podkletnova S.V., Osipov A.A. Simulating the process of microsatellite angular velocity decrease using various laws of electromagnetic coil control. 22nd Saint Petersburg International Conference on Integrated Navigation Systems, ICINS 2015 – Proceedings. 2015. P. 484-487.
  11. Branets V.N., Shmyglevskiy N.P. Primenenie kvaternionov v zadachakh orientatsii tverdogo tela [Application of quaternions in problems of solid body orientation]. Moscow: Nauka Publ., 1973. 320 p.
  12. Krut’ko P.D. Obratnye zadachi dinamiki v teorii avtomaticheskogo upravleniya. Tsikllektsiy: uchebnoe posobie dlya vtuzov [Inverse problems of dynamics in the theory of automatic control]. Moscow: Mashinostroenie Publ., 2004. 576 p.



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