Fault Tolerant Guidance of Under-Actuated Satellite Formation Flying Using Inter-Vehicle Coulomb Force

Document Type: Original Article

Authors

Aerospace Research Institute, Ministry of Science, Research and Technology, Tehran, Iran

Abstract

In this study, satellite formation flying guidance in the presence of under actuation using inter-vehicle Coulomb force is investigated. The Coulomb forces are used to stabilize the formation flying mission. For this purpose, the charge of satellites is determined to create appropriate attraction and repulsion and also, to maintain the distance between satellites. Static Coulomb formation of satellites equations including three satellites in triangular form was developed. Furthermore, the charge value of the Coulomb propulsion system required for such formation was obtained. Considering Under actuation of one of the formation satellites, the fault-tolerance approach is proposed for achieving mission goals. Following this approach, in the first step fault-tolerant guidance law is designed. Accordingly, the obtained results show stationary formation. In the next step, tomaintain the formation shape and dimension, a fault-tolerant control law is designed.

Keywords


[1]      Daniel P. Scharf, Fred Y. Hadaegh, and Scott R. Ploen, ASurvey of Spacecraft Formation Flying Guidance and Control (Part I),Guidance, Proceedings of the American Control Conference, July 2003.
[2]      E. Kong, D. Miller, R. Sedwick, Exploiting orbital dynamics for aperture synthesis using distributed satellite systems: Applications to a visible earth imager system, J. Astro. Sci, vol. 47, no. 1, pp. 53-75, 1999.
[3]      Hill, G.W., Researches in the lunar theory, American Journal of Mathematics, Vol. 1, 1878, Pages: 5–26. 10.
[4]      Howard D. Curtis, Orbital Mechanics for Engineering Students, (second edition), Butterworth-Heinemann, 2010.
[5]      Thomas Wolf , Jean-jacques De Ridder, "Resistance To Satellite Failures Of Leo Communication Systems", Small Satellite Conference,1992
[6]      Mishne David,"Guidance law for the reconfiguration of satellite formation, in the presence of measurement errors", Advances in the Astronautical Sciences 123.1 (2006): 429.
[7]      Olivier L. deWecka, Uriel Scialomb, AfreenSiddiqib, "Optimal reconfiguration of satellite constellations with theauction algorithm", ActaAstronautica 62, 112 – 130,2008.
[8]      Miguel A. Nunes, "Satellite Constellation Optimization Method For Future Earth Observation Missions Using Small Satellites", 13th International Space Conference of Pacific-basin Societies (ISCOPS), Volume: Advances in the Astronautical Sciences,2012
[9]      Garrie S. Mushet, Giorgio Mingotti, Camilla Colombo, and Colin R. McInnes, "Self-organizing Satellite Constellation in Geostationary Earth Orbit", Ieee Transactions On Aerospace And Electronic Systems, Vol. 51, No. 2, April 2015.
[10]   Fakoor, M., Amozegary, F., Bakhtiari, M., Daneshjou, K., Relative Tracking Control of Constellation Satellites Considering Inter-Satellite Link, Advances in Space Research (2017).
[11]   Lyon B. King,Gordon G. Parker,SatwikDeshmukh, Jer-Hong Chong,"Spacecraft Formation-flying using Inter-vehicle Coulomb Forces", Final report for Phase I research sponsored by NIAC – NASA Institute for Advanced Concepts, 2002.
[12]   Hanspeter Schaub, Gordon G. Parker, Lyon B. King, “Challenges And Prospects Of Coulomb Spacecraft Formations”, Advances in the Astronautical Sciences, 115(1) · January 2003.
[13]   Dong-Heon Lee, Krishna D. Kumar, and Hyochoong Bang, “Formation Flying of small Satellites Using Coulomb Forces”, JSASS-KSAS Joint International Symposium on Aerospace Engineering. The Korean Society for Aeronautical & Space Sciences, 2005.
[14]   John Berryman, Hanspeter Schaub, “Analytical charge analysis for two and three craft coulomb formation”, Journal Of Guidance, Control And Dynamics, Vol.30,No.6, November-December,2007.
[15]   Ting WANG, Guangqing XIA,and Nan ZHAO2, "Analysis and Control of Equal Mass Five-Craft Coulomb Formations Flying", Trans. Japan Soc. Aero. Space Sci.Vol. 59, No. 2, pp. 81–90, 2016
[16]   RuiQia,, Anrui Shi, Arun K.Misra, Krishna D.Kumar, Jingrui Zhang, "Coulomb tether double-pyramid formation, a potential configuration for geostationary satellite collocation", Aerospace Science and Technology 84 (2019) 1131–1140
[17]   Lorenzo Pettazzi, Hans Krüger, Dr. Stephan Theil," Electrostatic forces for satellite swarm navigation and reconfiguration", esa report, 2006.
[18]   RouzbehMoradi, Alirezaalikhani, Mohsen Fathi, "Under-actuated spacecraft active attitude fault tolerant control", Ph.D. thesis, Aerospace Research Institute, 2017.
[19]   S.Tafazoli M, "A study of on-orbit spacecraft failures", ActaAstronautica 64: 195–205, 2009.
[20]   Yang Liu, HongnianYu, "A survey of underactuated mechanical systems", IET Control Theory and Applications, May 2013.
[21]   Ali Zolghadri, David Henry, JérômeCieslak, Denis E­mov, Philippe Goupil; Fault Diagnosis and Fault-Tolerant Control and Guidance for Aerospace Vehicles (From Theory to Application), Springer, 2014.
[22]   Godard, " Fault Tolerant Control Of Spacecraft", A dissertation presented to Ryerson University in partial fulfillment of the requirements for the degree of Doctor Of Philosophy in the Program of Aerospace Engineering, Toronto, Ontario, Canada, 2010.