Suppression of the instrumental disturbance effect by locally invariant scaling of the physical model of spacecraft angular stabilization
Authors: Simonyants R.P., Pilipchuk S.V., Shevchenko V.V., Bolotskikh A.A., Bulavkin V.N.
Published in issue: #2(98)/2020
DOI: 10.18698/2308-6033-2020-2-1959
Category: Aviation and Rocket-Space Engineering | Chapter: Innovation Technologies of Aerospace Engineering
The study introduces a method of ground conditions physical modeling of the spacecraft motion around a fixed axis. On a natural scale of parameters and variables, the dynamic modes under consideration can be implemented only with an extremely small amount of kinetic energy dissipation. The feasible minimum friction for a test bed of simple design significantly exceeds the required values. In current modes of economical limit cycles, the characteristics of the simulated process are distorted so much that the physical modeling test bed is unsuitable for practical use. The solution to this problem is usually sought by complicating the design of the test bed through the use of air or magnetic suspension. The paper proposes an innovative method of “invariant scaling”, based on the principle of dynamic similarity of self-oscillating processes. Its application makes it possible to drastically reduce the effect of friction on the characteristics of physically modeled modes during ground developmental testing of control algorithms. Computer modeling with the use of this method has confirmed its high efficiency. It has been shown analytically and numerically that the modeling accuracy can be radically improved. An example of reducing the modeling error by 200 times is given.
References
[1] Zubov N.Ye., Mikrin E.A., Negodyayev C.C., et al. Trudy MFTI (MIPT Proceedings), 2012, vol. 4, no. 2, pp. 164–175.
[2] Simonyants R.P. Vestnik MGTU im. N.E. Baumana. Ser. Priborostroyeniye — Herald of the Bauman Moscow State Technical University. Series Instrument Engineering, 2016, no. 3, pp. 88–101. DOI: 10.18698/0236-3933-2016-3-88-101
[3] Simonyants R.P. Nauka i obrazovanie: nauchnoe izdanie MGTU im. N.E. Bau-mana — Science & Education: Scientific edition of Bauman MSTU, 2014, no. 10, pp. 152–178.
[4] Raushenbakh B.V., Tokar E.N. Upravlenie orientatsiey kosmicheskikh apparatov [Spacecraft orientation control]. Moscow, Nauka Publ., 1976, 600 p.
[5] Gaushus E.V. Issledovanie dinamicheskikh sistem metodom tochechnykh preobrazovaniy [The study of dynamical systems by the method of point transformations]. Moscow, Nauka Publ., 1976, 368 p.
[6] Ivanov D.S., et al. Preprint IPM im. M.V. Keldysha — Keldysh Institute Preprints, no. 40, 2011, 29 p.
[7] James J., Howell W.E. Simulator study of a satellite attitude control system using inertia wheels and a magnet. Langley Research Center, Langley Station, Humpton, Va. NASA technical note 63-21893, Oct. 1963.
[8] Schwartz J.L., Hall C.D. The Distributed Spacecraft Attitude Control System Simulator: Development, Progress, Plans. Flight Mechanics Symp. Greenbelt, Maryland, Goddard Space Flight Center, 2003. Available at: htpp://www.dept.aoe.vt.edu/canall/papers/FMS03.pdf
[9] Boise J., Royce O., Bowden J., Glover F., Kelly J.P., Westwig E. Panel: simulation optimization: future of simulation optimization. In WSC ’01: Proceedings of the 33nd Conference on Winter simulation, Washington, DC, USA, 2001. IEEE Computer Society, pp. 1466–1469.
[10] Wright J.W. Advancements of in-flight mass moment of inertia and structural deflection algorithms for satellite attitude simulators. Dissertation. Ohio, 2015. No. AFIT-ENY-DS-15-M-261.
[11] Kato T., Heidecker A., Dumke M., Theil S. Three-axis disturbance-free attitude control experiment platform: FACE. Transactions of the Japan Society for Aeronautical and Space Sciences, Aerospace Technology Japan, 2014, vol. 12, no. 29, pp. 1–6.
[12] Rossini L., Onillon E., Chetelat O., Allegradra C. Electromagnetic force simulations on a reaction sphere for satellite attitude control. COMSOL Conference, 2010, pp. 1–4.
[13] Yamafuji K., Morishita T., ed. Advances in Superconductivity VII: Proceedings of the 7th International Symposium on Superconductivity (ISS’94), November 8–11, 1994, Kitakyushu. Springer Science & Business Media, 2012, vol. 1, p. 1272.
[14] Kolesnikov A.A. Vestnik Donskogo gosudarstvennogo tekhnicheskogo universiteta — Vestnik of Don State Technical University, 2013, no. 3–4 (72–73), pp. 64–71.
[15] Sedov L.I. Metody podobiya i razmernosti v mekhanike [Similarity and dimension methods in mechanics]. Moscow, Nauka Publ., 1977, 440 p.