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
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Article

Investigation of the speed of the small-sized spacecraft control algorithm using reaction wheels

Published: 26.04.2019

Authors: Akimov I.O.

Published in issue: #4(88)/2019

DOI: 10.18698/2308-6033-2019-4-1871

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

The paper considers a mathematical model of spacecraft motion in quaternions, taking into account the control constraints on the kinetic and control torque of the reaction wheel. We analyzed current approaches to the search for reaction wheel control factors providing quasi-optimal performance. Boundary conditions for different types of reaction wheel control have been obtained analytically. Furthermore, we introduced our own approach to the study of the effective control coefficients of the two term controller of the reaction wheel. By means of the new approach, the maneuver was successfully analyzed without any control constraints on the kinetic and control torque of the reaction wheel, and the dependences of the control coefficients were obtained providing the required speed for the considered case. Findings of research show that the dependences of the control coefficients obtained provide the highest performance for any initial angles of rotation in comparison with the previously obtained theoretical dependences of the coefficients


References
[1] Aleshin B.S., Veremeenko K.K. Orientatsiya i navigatsiya podvizhnykh obektov: sovremennye informatsionnye tekhnologii [Orientation and navigation of mobile objects: modern information technologies]. Moscow, FIZMATLIT Publ., 2006, 424 p.
[2] Amelkin N.I. Kinematika i dinamika tverdogo tela [Kinematics and dynamics of a solid]. Moscow, MFTI Publ., 2000, 64 p.
[3] Branets V.N., Shmyglevskiy I.P. Primenenie kvaternionov v zadachakh orientatsii tverdogo tela [Use of quaternions in problems of solid body orientation]. Moscow, Nauka Publ., 1973, 320 p.
[4] Solovev V.A., Lysenko L.N., Lyubinskiy V.E. Upravlenie kosmicheskimi poletami [Space Flight Control]. In 2 parts. Moscow, BMSTU Publ., 2009, 2010.
[5] Payne L. Tuning PID control loops for fast response: Control Engineering, 2014. Available at: https://www.controleng.com/single-article/tuning-pid-control-loops-for-fast-response (accessed April 20, 2018).
[6] Ivanov D.S., Karpenko S.O., Ovchinnikov M.Yu. Preprinty IPM im. M.V. Keldysha — Keldysh Institute Preprints, Moscow, 2009, no. 48, 32 p.
[7] Tyulin A.E., Betanov V.V. Letnye ispytaniya kosmicheskikh obektov. Opredelenie i analiz dvizheniya po eksperimentalnym dannym [Flight tests of space objects. Motion detection and analysis using experimental data]. Moscow, Radiotekhnika Publ., 2016, 336 p.
[8] Lysenko L.N., Betanov V.V., Zvyagin F.V. Teoreticheskie osnovy ballistiko-navigatsionnogo obespecheniya kosmicheskikh poletov [Theoretical background of ballistic-navigation space flight support]. Moscow, BMSTU Publ., 2014.
[9] Baumgarte J. Stabilization of Constraints and Integrals of Motion in Dynamical Systems. Computer Methods in Applied Mechanics and Engineering, 1972, vol. 1, no. 1, pp. 1–16.
[10] Hajiyev Ch., Bahar M. Increase of accuracy of the small satellite attitude determination using redundancy techniques. Acta Astronautica, 2002, vol. 50, no. 11, pp. 673–679.
[11] Mascarenhas W.F. On the divergence of line search methods. Comput. Appl. Math., 2007, vol. 26, no. 1, pp. 129–169.