Engineering Journal: Science and InnovationELECTRONIC SCIENCE AND ENGINEERING PUBLICATION
Certificate of Registration Media number Эл #ФС77-53688 of 17 April 2013. ISSN 2308-6033. DOI 10.18698/2308-6033
  • Русский
  • Английский
Article

Investigating the “inverted attitude” problem in a spacecraft stabilisation system featuring non-linear sensors

Published: 17.01.2020

Authors: Simonyants R.P., Tarasov V.A.

Published in issue: #1(97)/2020

DOI: 10.18698/2308-6033-2020-1-1951

Category: Aviation and Rocket-Space Engineering | Chapter: Aircraft Dynamics, Ballistics, Motion Control

The paper shows that gravitational torque may cause an emergency “inverted attitude” mode in a relay spacecraft stabilisation system due to the fact that a field-of-view limit type sensor may be non-linear. We performed structural partitioning of the phase cylinder into regions with various trajectory types for the case of a simplified planar motion model. We demonstrate the synthesis routine for finding the boundaries separating the region marking the system transitioning into the regular attitude mode from the region signifying it entering the emergency mode. We derived analytical conditions under which emergency modes arise, which can serve as the basis for synthesising algorithms to prevent these modes from occurring.


References
[1] Beletskiy V.V. O libratsii sputnika [On satellite libration]. Iskusstvennye sputniki Zemli [Artificial Earth satellites], 1959, no. 3, pp. 13–31.
[2] Likins P.W., Roberson R.E. J. Astronaut Sci., 1966, vol. 13, no. 2, pp. 87–88.
[3] Bogachev A.V., Vorobeva E.A., Zubov N.E., Mikrin E.A., Misrikhanov M.Sh., Ryabchenko V.N., Timakov S.N. Izvestiya RAN. Teoriya i sistemy upravleniya — Journal of Computer and System Sciences International, 2011, no. 3, pp. 132–139.
[4] German A.D., Gutnik S.A., Sarychev V.A. Izvestiya RAN. Teoriya i sistemy upravleniya — Journal of Computer and System Sciences International, 2017, no. 1, pp. 128–140. DOI: 10.7868/S0002338816060056
[5] Raushenbakh B.V., Tokar E.N. Upravlenie orientatsiey kosmicheskikh apparatov [Spacecraft attitude control]. Moscow, Nauka Publ., 1974, pp. 269–270.
[6] Gaushus E.V. Issledovanie dinamicheskikh sistem metodom tochechnykh preobrazovaniy [Investigating dynamic systems by the method of point transformations]. Moscow, Nauka Publ., 1974, pp. 135–136.
[7] Simonyants R.P., Averyanov P.V. Vestnik MGTU im. N.E. Baumana. Ser. Priborostroenie — Herald of the Bauman Moscow State Technical University. Series Instrument Engineering, 2018, no. 3, pp. 104–119. DOI: 10.18698/0236-3933-2018-3-104-119
[8] Sevastyanov N.N. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika — Tomsk State University Journal of Mathematics and Mechanics, 2013, no. 3 (23), pp. 104–110.
[9] Sumarokov A.V. Rezervnye rezhimy orientatsii sputnikov svyazi serii Yamal s ispolzovaniem nazemnykh radioizmereniy: diss. kand. fiz.-mat. nauk [Redundant attitude modes of the Yamal communication satellite series using ground-based measurements. Cand. Phys.-Math. Sc. Diss.]. Moscow, Moscow Institute of Physics and Technology Publ., 2008, 115 p.
[10] Zubov N.E., Mikrin E.A., Ryabchenko V.N., Oleynik A.S., Efanov D.E. Vestnik MGTU im. N.E. Baumana. Ser. Priborostroenie — Herald of the Bauman Moscow State Technical University. Series Instrument Engineering, 2014, no. 5, pp. 3–17.
[11] Bulut Y. Applied Kalman Filter Theory. Civil Engineering Dissertations. Boston, Massachusetts, Northeastern University, 2011, Paper 13.
[12] Oleynik A.S., Zubov N.E., Ryabchenko V.N. Nauka i obrazovanie: nauchnoe izdanie MGTU im. N.E. Baumana — Science and Education: Scientific Edition of Bauman MSTU, 2015, no. 9. DOI: 10.7463/0915.0802772
[13] Simonyants R.P. Nauka i obrazovanie: nauchnoe izdanie MGTU im. N.E. Baumana — Science and Education: Scientific Edition of Bauman MSTU, 2014, no. 10. DOI: 10.7463/1014.0729606
[14] Faldin N.V., Feofilov S.V. Izvestiya RAN. Teoriya i sistemy upravleniya — Journal of Computer and System Sciences International, 2007, no. 2, pp. 15–27.
[15] Andronov A.A., Leontovich E.A., Gordon I.I., Mayer A.G. Kachestvennaya teoriya dinamicheskikh sistem vtorogo poryadka [Qualitative theory of second-order dynamic systems]. Moscow, Nauka Publ., 1966, 568 p.
[16] Shilnikov L.P., Shilnikov A.L., Turaev D.V., Chua L. Metody kachestvennoy teorii v nelineynoy dinamike [Qualitative theory methods in nonlinear dynamics]. Moscow, Izhevsk, Regular and Chaotic Dynamics Publ., Computer Research Institute Publ., 2009, 548 p.