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ISSN 2070-7401 (Print), ISSN 2411-0280 (Online)
Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa
CURRENT PROBLEMS IN REMOTE SENSING OF THE EARTH FROM SPACE

  

Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa, 2026. Т. 23. № 3. С. 88-95

Study of the stability of the -Bdot control algorithm using the example of the SXC3-219 small Earth remote sensing spacecraft based on onboard measurements of angular velocity vector components

E.S. Khnyryova 1 
1 Samara National Research University, Samara, Russia
Accepted: 17.03.2026
DOI: 10.21046/2070-7401-2026-23-3-88-95
Spacecraft motion control stability issues significantly impact the effectiveness of its missions. This is especially true for high resolution imaging. Known control algorithms are theoretically stable. However, due to various operational errors in real actuators and measurement instruments, the convergence of these algorithms may be lower compared to the theory. One widely used algorithm for small spacecraft is -Bdot. Its implementation requires magnetic actuators that do not use the working fluid. The paper analyzes the stability of the controlled motion of the SXC3-219 small Earth remote sensing spacecraft in order to improve the efficiency of its target tasks. The stability of -Bdot is studied in the section of decreasing angular velocity by magnetic actuators. The classical Lyapunov function method is used. The study uses SXC3-219 velocity components data measured by the iNEMO inertial module LSM9DS1 multifunctional device. This device is part of the information and measuring system. The results of the work can be used to improve the control algorithms of small spacecrafts in order to improve the efficiency of solving remote sensing tasks.
Keywords: stability of motion, control algorithm -Bdot, small spacecraft for remote sensing of the Earth, Lyapunov function, angular motion
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References:

  1. Kirilin A. N., Akhmetov R. N., Shakhmatov E. V., Tkachenko S. I., Baklanov A. I., Salmin V. V., Semkin N. D., Tkachenko I. S., Goryachkin O. V., Opytno-tekhnologicheskii malyi kosmicheskii apparat “AIST-2D” (Experimental technological small spacecraft “Aist-2D”), Samara: SamNTs RAN, 2017, 324 p. (in Russian).
  2. Ovchinnikov M. Yu., Penkov V. I., Roldugin D. S., Ivanov D. S., Magnitnye sistemy orientatsii malykh sputnikov (Magnetic navigation systems of small satellites), Moscow: Institut prikladnoi matematiki imeni M. V. Keldysha, 2016, 366 p. (in Russian).
  3. Sedelnikov A. V., Skidanov R. V., Bratkova M. E. et al., Reconstruction of rotational motion of the ISOI (SXC3-219) small spacecraft for Earth remote sensing from onboard measurements, Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa, 2024, V. 21, No. 5, pp. 75–82 (in Russian), DOI: 10.21046/2070-7401-2024-21-5-75-82.
  4. Semkin N. D., Sazonov V. V., Voronov K. E., Piyakov A. V., Dorofeev A. S., Ilyin A. B., Puzin Yu. Ya., Vidmanov A. S., Magnetic field measurements at small spacecraft “Aist”, Physics of Wave Processes and Radio Systems, 2015, V. 18, No. 4, pp. 67–73 (in Russian).
  5. Abrashkin V. I., Voronov K. E., Dorofeev A. S. et al., Detection of the rotational motion of the AIST-2D small spacecraft by magnetic measurements, Cosmic Research, 2019, V. 57, No. 1, pp. 48–60, DOI:10.1134/S0010952519010015.
  6. Akhmetov R., Filatov A., Khalilov R. et al., “AIST-2D”: Results of flight tests and application of earth remote sensing data for solving thematic problems, The Egyptian J. Remote Sensing and Space Science, 2023, V. 26, No. 3, pp. 427–454, https://doi.org/10.1016/j.ejrs.2023.06.003.
  7. Busch S., Koss P. A., Horch C. et al., Magnetic cleanliness verification of miniature satellites for high precision pointing, Acta Astronautica, 2023, V. 210, pp. 243–252, DOI: 10.1016/j.actaastro.2023.05.017.
  8. Carletta S., Teofilatto P., Design and numerical validation of an algorithm for the detumbling and angular rate determination of a CubeSat using only three-axis magnetometer data, Intern. J. Aerospace Engineering, 2018, V. 2018, No. 3, Article 9768475, DOI: 10.1155/2018/9768475.
  9. Chen H., High-precision target detection of remote sensing image based on feature enhancement with 6G technology, Advances in Multimedia, 2022, V. 2022, No. 1, Article 6095308, 14 p., DOI: 10.1155/2022/6095308.
  10. Fu X., Liang L., Ma W. et al., Efficient uncertainty analysis of external heat flux of solar radiation with external heat flux expansion for spacecraft thermal design, Aerospace, 2023, V. 10, No. 8, Article 672, https://doi.org/10.3390/aerospace10080672.
  11. Ivliev N., Evdokimova V., Podlipnov V. et al., First Earth-imaging CubeSat with harmonic diffractive lens, Remote Sensing, 2022, V. 14, No. 9, Article 2230, DOI: 10.3390/rs14092230.
  12. Ivliev N., Podlipnov V., Petrov M. et al., 3U CubeSat-based hyperspectral remote sensing by Offner imaging hyperspectrometer with radially-fastened primary elements, Sensors, 2024, V. 24, No. 9, Article 2885, https://doi.org/10.3390/s24092885.
  13. Jamshidi S., Mirzaei M., Novel scheme for uncertainty and disturbance estimation to control of spacecraft system with input constraint, Proc. Institution of Mechanical Engineers, Pt. I: J. Systems and Control Engineering, 2024, V. 238, pp. 1738–1751, DOI: 10.1177/09596518241263371.
  14. Kazanskiy N., Ivliev N., Podlipnov V., Skidanov R., An airborne Offner imaging hyperspectrometer with radially-fastened primary, Sensors, 2020, V. 20, No. 12, Article 3411, DOI: 10.3390/s20123411.
  15. Klyushin M. A., Maksimenko M. V., Tikhonov A. A., Electrodynamic attitude stabilization of a spacecraft in an elliptical orbit, Aerospace, 2024, V. 11, No. 11, Article 956, DOI: 10.3390/aerospace11110956.
  16. Li H., Control system stability, In: Control theory for practical applications. With MATLAB demonstration programs, Singapore: Springer, 2017, pp. 69–96, DOI: 10.1007/978-981-97-5008-5_4.
  17. Liu H., Wang H., Cheng Y., Attitude control of micro-satellite with only magnetic actuators, Chinese J. Space Science, 2007, V. 27, No. 5, pp. 425–429, DOI: 10.11728/cjss2007.05.425.
  18. Nikolaeva A. S., Evtushenko M. A., Manukyan L. A., On modern mathematical modelling and optimization methods, Intern. J. Mathematical Modelling and Numerical Optimisation, 2025, V. 15, No. 1, pp. 52–63, https://doi.org/10.1504/IJMMNO.2025.145634.
  19. Ovchinnikov M. Yu., Roldugin D. S., Tkachev S. S., Penkov V. I., B-dot algorithm steady-state motion performance, Acta Astronautica, 2018, V. 146, pp. 66–72, DOI: 10.1016/j.actaastro.2018.02.019.
  20. Roldugin D. S., Ovchinnikov M. Yu., Explicit solution for the attitude motion of a bias momentum satellite under Bdot magnetic damping, Aerospace Science and Technology, 2025, V. 159, Article 110019, DOI: 10.1016/j.ast.2025.110019.
  21. Sedelnikov A. V. (2020a), Accuracy assessment of microaccelerations simulation on the spacecraft “Foton-M” No. 2 according to magnetic measuring instruments data, Microgravity Science and Technology, 2020, V. 32, No. 3, pp. 259–264, DOI: 10.1007/s12217-019-09766-y.
  22. Sedelnikov A. V. (2020b), The Assessment problem of microaccelerations at the experimental sample of the small spacecraft “AIST” after the battery degradation and the method of its solution, Microgravity Science and Technology, 2020, V. 32, No. 4, pp. 673–679, DOI: 10.1007/s12217-020-09789-w.
  23. Sedelnikov A. V., Algorithm for restoring information of current from solar panels of a small spacecraft prototype “AIST” with help of normality conditions, J. Aeronautics, Astronautics, and Aviation, 2022, V. 54, No. 1, pp. 67–76, DOI: 10.6125/JoAAA.202203_54(1).05.
  24. Sedelnikov A. V., Filippov A. S., Gorozhakina A. S., Evaluation of calibration accuracy of magnetometer sensors of Aist small spacecraft, J. Physics: Conf. Series, 2018, V. 1015, Article 032045, DOI: 10.1088/1742-6596/1015/3/032045.
  25. Sedelnikov A. V., Taneeva A. S., Khnyryova E. S. et al., Investigation of the rotational motion stability of the AIST small spacecraft prototype according to the measurements of the Earth’s magnetic field, J. Physics: Conf. Series, 2021, V. 1901, Article 012022, DOI: 10.1088/1742-6596/1901/1/012022.
  26. Sedelnikov A., Orlov D., Serdakova V., Nikolaeva A. (2023a), The symmetric formulation of the temperature shock problem for a small spacecraft with two elastic elements, Symmetry, 2023, V. 15, No. 1, Article 172, DOI: 10.3390/sym15010172.
  27. Sedelnikov A., Serdakova V., Nikolaeva A. (2023b), Method of taking into account influence of thermal shock on dynamics of small satellite and its use in analysis of microaccelerations, Microgravity Science and Technology, 2023, V. 35, No. 3, Article 25, DOI: 10.1007/s12217-023-10049-w.
  28. Sedelnikov A., Manukyan L., Maslowa U. (2024a), The methodology for estimating the angular velocity of rotation of a small spacecraft based on a limited number of magnetometric measurements, In: 8 th Intern. Conf. on Computing, Control and Industrial Engineering (CCIE2024). Lecture Notes in Electrical Engineering, V. 1253, Singapore: Springer, 2024, pp. 435–440, DOI: 10.1007/978-981-97-6937-7_52.
  29. Sedelnikov A., Skidanov R., Taneeva A. et al. (2024b), Investigation of the applicability of the Boer formula for estimating the angular velocity of rotation of a small spacecraft by measuring the components of the induction vector of the Earth’s magnetic field in evaluating micro-accelerations and forming control laws, Microgravity Science and Technology, 2024, V. 36, No. 6, Article 59, DOI: 10.1007/s12217-024-10148-2.
  30. Shu S., Fang J.-C., Zhang W et al., High-precision attitude control method based on MSCMG for large-scale remote sensing satellite, Zhongguo Guanxing Jishu Xuebao/J. Chinese Inertial Technology, 2017, V. 25, No. 4, pp. 421–431, DOI: 10.13695/j.cnki.12-1222/o4.2017.04.001.
  31. Thiel F., Schnabel A., Knappe-Grüneberg S. et al., Demagnetization of magnetically shielded rooms, Review of Scientific Instruments, 2007, V. 78, No. 3, Article 035106, DOI: 10.1063/1.2713433.
  32. Zhu W., Yang Y., Tian B., Zong Q., Global finite-time adaptive attitude control for coupled spacecraft with model uncertainty and actuator faults, IEEE Trans. Control Systems Technology, 2024, V. 32, No. 6, pp. 2428–2435, DOI: 10.1109/TCST.2024.3405668.