Volume 4, Issue 5, September 2019, Page: 137-148
Review of Control Methods and Strategies of Space Tether Satellites
Paul Tirop, Department of Dynamics and Control of Flying Vehicles, Beijing Institute of Technology, Beijing, China
Zhang Jingrui, Department of Dynamics and Control of Flying Vehicles, Beijing Institute of Technology, Beijing, China
Received: Mar. 27, 2019;       Accepted: Jun. 15, 2019;       Published: Dec. 4, 2019
DOI: 10.11648/j.ajtte.20190405.11      View  57      Downloads  27
Abstract
Space tether satellites systems are one of the most promising directions in the modern space industry. Such systems consist of two or more spacecraft connected to each other by very long tethers. Great extension and variable configuration of the system in the orbital flight conditions provide some dynamic features, which are not typical of conventional spacecraft. The concept of the tethered satellite system (TSS) promises to revolutionize many aspects of space exploration and exploitation. It provides not only numerous possible and valuable applications, but also challenging and interesting problems related to their dynamics, control, and physical implementation. The overarching theme of the paper is to show various control methods of the tethered satellites system (TSS) that have been undertaken recently, and also to emphasize on the importance of the TSS control method as an important aspect in the tether concepts, design, and missions. This review article presents the historical background and recent hot topics for the space tethers, and introduces the dynamics and control of TSSs in a progressive manner, from basic operating principles to the state-of-the-art achievements. The paper introduces the strategies and methods applied in controlling the TSS not excluding their advantages and disadvantages during the tether satellite deployment, retrieval, and station keeping procedures. At the end of the paper, a conclusion is made about the effectiveness of the control methods in stabilizing the libration and vibration motions of the TSS.
Keywords
Tether Satellites, Control Strategies, Control Methods
To cite this article
Paul Tirop, Zhang Jingrui, Review of Control Methods and Strategies of Space Tether Satellites, American Journal of Traffic and Transportation Engineering. Vol. 4, No. 5, 2019, pp. 137-148. doi: 10.11648/j.ajtte.20190405.11
Copyright
Copyright © 2019 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Reference
[1]
Johnson, L., Glichrist, B., Estes, R. D., and Lorenzini, E., “Overview of Future NASA Tether Applications,” Advances in Space Research, Vol. 24, No. 4, 1999, pp. 1055–1063.
[2]
Maccone, C., “Tethered System to Get Magnified Radio Pictures of the Galactic Center From a Distance of 550 AU,” Acta Astronautica, Vol. 45, No. 2, 1999, pp. 109–114.
[3]
Quadrelli, M. B., Hadaegh, F. Y., Lorenzini, E. C., and Bombardelli, C., “Precision Tethered Formations for LEO and Space Interferometry Applications,” December 2001, 16th International Symposium on Space Flight Dynamics, Pasadena, California.
[4]
Cosmo, M. and Lorenzini, E., Tethers in Space Handbook, Cambridge, Massachusetts, 3rd ed., 1997, prepared for NASA/MSFC by Smithsonian Astrophysical Observatory.
[5]
Beletsky, V. V. and Levin, E. M., Dynamics of Space Tether Systems, Vol. 83 of Advances in Astronautical Sciences, Univelt, Incorporated, P.O. Box 28130, San Diego, California 92198, 1993.
[6]
Decou, A. B., “Tether Static Shape for Rotating Multimass, Multitether, Spacecraft for Triangle Michelson Interferometer,” Journal of Guidance and Control, Vol. 12, No. 2, March-April 1989, pp. 273–275.
[7]
Decou, A. B., “Attitude and Tether Vibration Control in Spinning Tethered Triangles for Orbiting Interferometry,” The Journal of the Astronautical Sciences, Vol. 41, No. 3, July-September 1993, pp. 373–398.
[8]
Keshmiri, M. and Misra, A. K., “General Formulation for N-body Tethered Satellite System Dynamics,” Journal of Guidance, Control and Dynamics, Vol. 19, No. 1, January-February 1996, pp. 75–83.
[9]
Misra, A. K., Bellerose, J., and Modi, V. J., “Dynamics of a Tethered System near the Earth-Moon Lagrangian Points,” Proceedings of the 2001 AAS/AIAA Astrodynamics Specialist Conference, Quebec City, Canada, Vol. 109 of Advances in the Astronautical Sciences, 2002, pp. 415–435.
[10]
Farquhar, R. W., “Tether Stabilization at a Collinear Libration Point,” The Journal of the Astronautical Sciences, Vol. 49, No. 1, January-March 2001, pp. 91–106.
[11]
Kim, M. and Hall, C. D., “Control of a Rotating Variable–Length Tethered System,” Proceedings of the 2003 AAS/AIAA Space Flight Mechanics Meeting, Ponce, Puerto Rico, Advances in the Astronautical Sciences, 2003 (to appear).
[12]
Marino, R. and Tomei, P., “Global Adaptive Output–Feedback Control of Nonlinear Systems, Part I: Linear Parametrization,” IEEE Transactions on Automatic Control, Vol. 38, No. 1, January 1993, pp. 17–32.
[13]
Marino, R. and Tomei, P., “Global Adaptive Output–Feedback Control of Nonlinear Systems, Part II: Nonlinear Parametrization,” IEEE Transactions on Automatic Control, Vol. 38, No. 1, January 1993, pp. 33–48.
[14]
Marino, R. and Tomei, P., “An Adaptive Output Feedback Control for a Class of Nonlinear Systems with Time–Varying Parameters,” IEEE Transactions on Automatic Control, Vol. 44, No. 11, November 1999, pp. 2190–2194.
[15]
Krsti´c, M. and Kokotovi´c, P., “Adaptive Nonlinear Output–Feedback Schemes With Marino–Tomei Controller,” IEEE Transactions on Automatic Control, Vol. 41, No. 2, February 1996, pp. 274–280.
[16]
Khalil, H. K., “Adaptive Output Feedback Control of Nonlinear Systems Represented by Input–Output Models,” IEEE Transactions on Automatic Control, Vol. 41, No. 2, February 1996, pp. 177–188.
[17]
Kim, M. and Hall, C. D., “Lyapunov and Halo Orbits about L2,” Proceedings of the 2001 AAS/AIAA Astrodynamics Specialist Conference, Quebec City, Canada, Vol. 109 of Advances in the Astronautical Sciences, 2002, pp. 349–366.
[18]
Farley, R. E. and Quinn, D. A., “Tethered Formation Configurations – Meeting the Scientific Objectives of Large Aperture and Interferometric Science,” Proceedings of the AIAA Space 2001 – Conference and Exposition, Albuquerque, New Mexico, 2001.
[19]
Gates, S. S., “Multi-tethered Space-based Interferometers: Particle System Model,” Tech. Rep. NRL/MR/8231–01-8579, Naval Research Laboratory, Washington, DC 20375-5320, September 2001.
[20]
Nicosia, S. and Tomei, P., “Robot Control by Using Only Joint Position Measurements,” IEEE Transactions on Automatic Control, Vol. 35, No. 9, September 1990, pp. 1058–1061.
[21]
Ohkami Y, Yoshimura S, Okamoto O. “Evaluation of microgravity level fluctuation due to attitude/orbital motion in a tethered satellite system,” Acta Astronautica, Vol. 35 (2/3), 1995, pp. 187–91.
[22]
Licata R. “Tethered system deployment controls by feedback fuzzy logic,” Acta Astronautica, Vol. 40, No. 9, 1997, pp. 619–34.
[23]
Nohmi M, Nenchev DN, “Uchiyama M. Momentum control of a tethered space robot through tether tension control,” In: Proceedings of the IEEE international conference on robotics & automation. IEEE, 1998, pp. 920–5.
[24]
Woo MP, Misra AK. “Dynamics of tethered space manipulators,” In: Proceedings of the AAS/AIAA astrodynamics specialist’s conference, 2003, AAS [AAS 03-534].
[25]
Kumar K, Kumar KD. “Variable attitude maneuver through tether for a ‘‘drifting’’ twin satellite system in elliptic orbits,” Acta Astronautica, Vol. 45, No. 3, 1999, pp. 135–42.
[26]
Pradhan S, Modi VJ, Misra AK., “Tether–platform coupled control,”Acta Astronautica, Vol. 44, No. 5, 1999, pp. 243–56.
[27]
Fujii HA, Taira W, Watanabe T, Murase T, Kusagaya T, Trivailo P., “Experimental analysis of deployment/retrieval of tether system using balloon technique,” In: Proceedings of the AAS/AIAA astrodynamics specialists conference, 2001, AAS [AAS 01-407].
[28]
Kumar KD, Yasaka T., “Satellite attitude stabilisation through kitelike tether configuration,” Journal of Spacecraft and Rockets, Vol. 39, No. 5, 2002, pp. 755–60.
[29]
Quadrelli MB. “Modelling and dynamics analysis of tethered formations for space interferometry,” In: Proceedings of the AAS/ AIAA space flight mechanics meeting, 2001, AAS [AAS 01-231].
[30]
Cho S, McClamroch NH., “Attitude control of a tethered spacecraft,” In: Proceedings of the American control conference. IEEE, 2003, pp. 1104–9.
[31]
Pela´ ez J, Lara M., “Periodic solutions in electrodynamic tethers on inclined orbits,” Journal of Guidance, Control and Dynamics, 2003, Vol. 26, No. 3, pp. 395–406.
[32]
Rossi EV, Cicci DA, Cochran Jr JE., “ Existence of periodic motions of a tether trailing satellite,” Appl Math Comput 2004; 155: 269–81.
[33]
Bernelli-Zazzera F. Active control of tether satellites via boom rotation: a proof of concept experiment. In: Proceedings of THE AAS/AIAA space flight mechanics meeting, p. 1225–40 [AAS. 01- 192].
[34]
Takeichi N, Natori MC, Okuizumi N, Higuchi K., “ Periodic solutions and controls of tethered systems in elliptic orbits,” J Vib Control, 2004, Vol. 10, pp. 1393–413.
[35]
Kumar K, Kumar KD., “Tethered dual spacecraft configuration: a solution to attitude control problems,” Aerospace Sci Technol, 2000, Vol. 4, pp. 495–505.
[36]
Djebli A, El-Bakkali L, Pascal M., “On fast retrieval laws for tethered satellite systems,” Acta Astronautica, 2002, Vol. 50, No. 8, pp. 461–70.
[37]
Hokamoto S, Imamura N, Modi VJ., “Dynamics and control of a tethered space robot with tension,” In: Proceedings of the AAS/ AIAA astrodynamics specialists’ conference, 2001, AAS [AAS 01- 408].
[38]
Bombardelli C, Lorenzini EC, Quadrelli MB., “Retargeting dynamics of a linear tethered interferometer,” J Guidance Control Dynam, 2004, Vol. 27, No. 6, pp. 1061–7.
[39]
Kumar, K. D., and Kumar, K., “Attitude Maneuver of Dual Tethered Satellite Platforms through Tether Offset Change,” Journal of Spacecraft and Rockets, Vol. 38, No. 2, 2001, pp. 237–242.
[40]
Beard R. W. and Hadaegh F. Y., “Finite thrust control for satellite formation flying with state constraints,” American control conference, American Automatic control council, Sandiego, CA, 1999, pp. 2975–2979.
[41]
Mori, O., and Matunaga, S., “Research and Development of Tethered Satellite Cluster Systems,” International Conf. on Intelligent Robots and Systems, Paper F-AI-5-2, Oct. 2000.
[42]
Moccia, A., Vetrella, S., and Grassi, M., “Attitude Dynamics and Control of aVertical Interferometric RadarTethered Altimeter,” Journal of Guidance, Control, and Dynamics, Vol. 16, No. 2, 1993, pp. 264–269.
[43]
Pradhan, S., Modi, V. J., and Misra, A. K., “On the Offset Control of Flexible Nonautonomous Tethered Two-Body Systems,” Acta Astronautica, Vol. 38, No. 10, 1996, pp. 783–801.
[44]
Hokamoto, S., “Dynamics of a Space Robot with Tether Tension,” Proceedings of 10thWorkshop on Astrodynamics and Flight Mechanics, Inst. of Space and Astronautical Science, Sagamihara, Japan, 2000, pp. 237–242.
[45]
Matunaga, S., Ohkami, Y., and Mori, O., “A Tether-Based Capture of Orbiting Objects,” International Astronautical Congress, Paper 97-A.3.08, Oct. 1997.
[46]
Matunaga, S., Mori, O., Nakaya, K., and Ohkami, Y., “Tether Control Methods for Damping Angular Momentum of Uncontrolled Satellites,” Proceedings of 8th Workshop on Astrodynamics and Flight Mechanics, Institute of Space and Astronautical Science, Sagamihara, Japan, 1998, pp. 310–315.
[47]
Kumar, K. D., and Nakajima, A., “Angular Momentum Damping of Debris Through Tether System,” International Symposium on Space Technology and Science, Paper 2000-k-20, May 2000.
[48]
Nohmi, M., Terumichi, Y., and Sogabe, K., “Modeling of Tethered Space Robot as String-Rigid Bodies,” Proceedings of 10th Workshop on Astrodynamics and Flight Mechanics, Inst. of Space and Astronautical Science, Sagamihara, Japan, 2000, pp. 243–248.
[49]
Wong, B., and Misra, A. K., “Dynamics of a Tethered System near the Earth-Moon Lagrangian Points,” Proceedings of the 2003 AAS/AIAA Space Flight Mechanics Meeting, Vol. 114, Advances in the Astronautical Sciences, Univelt Inc. Publishers, San Diego, CA, 2003, pp. 1675–1694.
[50]
Loria, A., “Global Tracking Control of One Degree of Freedom Euler- Larange Systems with Velocity Measurements,” European Journal of Control, Vol. 2, No. 2, June 1996, pp. 144–151.
[51]
de Queiroz, M. S., Dawson, D. M., Nagarkatti, S. P., and Zhang, F., Lyapunov-Based Control of Mechanical Systems, Control Engineering, Birkhäuser Boston, Cambridge, MA, 2000.
[52]
Isidori, A., Nonlinear Control Systems, 3rd ed., Springer–Verlag, New York, 1995, Chap. 5.
[53]
Kojima, H., Iwasaki, M., Fujii, A. H., Blanksby, C., and Trivailo, P., “Nonlinear Control of librational Motion of Tethered Satellites in Elliptic Orbits,” Journal of Guidance, Control, and Dynamics, Vol. 27, No. 2, 2004, pp. 229–239.
[54]
Kojima H. and Sugimoto T., “Nonlinear control of double pendulum Electrodynamic tether system” journal of space craft and rockets, Vol. 44, No. 1, 2007 DOI: 10.2514/1.24537.
[55]
Corsi J. and Less L., “Stabillity and control of electrodynamics tethers for deorbiting applications,” Acta Astronautica, Vol. 48, No. 5-12, 2001, pp. 491-501.
[56]
Tortora P, Somenzi L., Less l., and Licata R., “Small mission design for testing in orbit an electrodynamic tether deorbiting system,” Journal of spacecraft and Rockets, Vol. 43, No. 4, 2006, pp. 883-892. Doi: 10.2514/1.15359.
[57]
Sun F. J., Zhu Z. H. and La Rosa M., “Dynamic modelling of cable towed body using nodal positon finite element method,” Ocean Engineering, Vol. 38, No. 4, 2011, pp. 529-540.
[58]
Gangqiang Li, Zheng H., Zhu, Czekanski A., “Libration control of bare electrodynamic tethers considering elastic-thermal-electrical coupling,” Journal of guidance, control and Dynamics, Vol. 39. No. 3, 2016.
[59]
Manchester Z. and Peck M. A., “Stochastic space exploration with microscale spacecraft,” AIAA, Guidance, navigation and control conference, AIAA paper 2011-6648, 2011, pp. 8-11.
[60]
Weis L. M. and Peck M. A., “Attitude control for chip satellites using multiple electrodynamic tethers,” AIAA/AAS Astrodynamic specialist conference, AIAA paper 2012-4871, 2012. Doi: 10.2514/6.2012-4871.
[61]
Lorraine M. W. and Mason P., “Chip-scale satellite control with multiple electrodynamic tethers,” Journal of guidance, control and dynamics, Vol. 39, No. 7, 2016.
[62]
S. V. Drakunov and V. I. Utkin, “ Sliding mode control in dynamic systems” international journal of control, Vol. 55, No. 4, pp. 1029-1037, 1992.
[63]
J. J. E. Slotine and Sastry, “Sliding control design for non-linear systems,” Vol. 40 No. 2, 1984, pp. 421-434.
[64]
Hallaj, M. A. A. and Assadian N.,” Sliding mode control of electrodynamic tethered satellite formation”, Advances in space research. Vol. 58, No. 4, 2016, pp. 619–634.
[65]
Walls, J., and Greene, M., “Adaptive Control of an Orbiting Single Tether System,” Proceedings of the Twenty-First Southeastern Symposium on Systems Theory, Inst. of Electrical and Electronics Engineers, Piscataway, NJ, Mar. 1989, pp. 594–598.
[66]
Bartolini, G., Levant, A., Plestan, F., Taleb, M., & Punta, E. (2013), “Adaptation of sliding modes,” IMA Journal of Mathematical Control and Information, 30 (3), 285–300.
[67]
Edwards, C., & Shtessel, Y. (2016) “Adaptive continuous higher order sliding mode control,” Automatica, 65, 183–190.
[68]
Edwards, C., & Spurgeon, S. (1998). Sliding mode control: Theory and applications, London: Taylor and Francis.
[69]
Q. Hu, “Robust adaptive sliding mode attitude maneuvering and vibration damping of three-axis-stabilized flexible spacecraft with actuator saturation limits” Nonlinear Dynamics, 55 (4), 301–321, 2009.
[70]
Boskavic, J. D., Li, S. M., Mehra R. K., “ Robust adaptive variable structure control of spacecraft under control input saturation” Journal of guid, control and dyn. Vol. 24. No. 1, pp 14-22 2001.
[71]
Ma Zqiang and Sun Guanghui, “Adaptive sliding mode control of tethered satellite deployment with input limitation,” Acta Astronautica, vol. 127, pp. 67-75, 2016.
[72]
Manabe, S., “The non -integer integral and its application to controll systems,” Electrotechnical Journal of Japan, 6 (3-4), 83-87.
[73]
Sun, G. and Zhu, Z. H., “Fractional order tension control for stable and fast tethered satellite retrieval,” Acta astronautica, vol. 104. No. 1 pp. 304-312 2014.
[74]
Pradup S. “Anew tension control law for deployment of tethered satellites,” Mechanics Research communication, Vol. 24, No. 3, 1997, pp. 247–254.
[75]
Kang J, Zheng, H. Zhu, Wang W., Li A., Wang C. “Fractional order sliding mode control of tethered satellite deployment with disturbances”, Advance in space research, vol. 59. No., 2017, pp. 263-273.
[76]
Venkataraman, S., Gulati, S., “Control of Nonlinear Systems Using Terminal Sliding Modes,” J. Dyn. Sys, Meas., Control, Sept 1993, Volume 115, Issue 3.
[77]
Yang and Yang.
[78]
B. S. Yu, D. P. Jin and H. Wen, “A method of stable deployment of electrodynamic tethered satellite in three dimensional space,” journal of physics, Vol. Conference Series 744 (2016) 012119.
[79]
Kojima H. and Sugimoto T., “Stability analysis of in-plane and out-plane periodic motions to electrodynamic tether system in enclined elliptic orbit,” Acta Astronautica, Vol. 65, No. 3-4, 2009, pp. 477-488.
[80]
J. Palaez and E. C. Lorenzini, “Libration control of electrodynamic tethers in confined orbit,” Journal of Guidance, Control and Dynamics, Vol. 28, 2005, pp. 269-279.
[81]
M. Inarrea and J. Palaez, “Libration control of electrodynamic tether using the ETDAS method,” Journal of Guidance, control and Dynamics, Vol. 33, 2010, pp. 923-933.
[82]
V. Lanchares, M. Inarrea, A. I. Pascuel, J. P. Salas, “Attitude stabilization of electrodynamic tethers in elliptic orbits by time delayed feedback control,” Acta Astronautica, Vol. 96, 2014, pp. 280-295.
[83]
Williams, P.: “Optimal deployment/retrieval of a tethered formation spinning in the orbital plane,” Journal of Spacecraft and Rockets, Vol. 43 (3), pp. 638–650, (2006).
[84]
Williams P., “ Optimal control of electrodynamic tether orbit transfer using time scale separation,” Journal of Guidance, control and Dynynamics, Vol. 33, No. 1, 2010, pp. 88-99.
[85]
Misra A. K and Modi V. S., “ Deployment and retrieval of shuttle supported tethered satellites” Journal of Guidance, Control and Dynamics, Vol. 5, No. 3, 1982, pp. 278-285.
[86]
Dongpin J and Haiyan H., “ Optimal control of tethered sub satellite of three degrees of freedom” Nonlinear dynamics, Vol. 46, No. 1, 2006, pp. 161-178.
[87]
Zhang R. and Zhu Z. H., “Optimal control of nanosatellite fast deorbit using electrodynamic tethers” Journal of Guid., Cont and Dyn, Vol. 37, No. 4, 2014, pp. 1182-1194.
[88]
Williams, P., “Optimal control of a spinning double-pyramid earth pointing tether formation,” In: The 57th International Astronautical Congress, Valencia, 2–6 October (2006).
[89]
Bainum, P. M and Kumar V. K., “Optimal control of electrodynamic tethers for deorbiting applications,” Acta Astronautica, Vol. 7, No. 12, 1980, pp. 1333-1348.
[90]
Godard K. D, Kumar and B. Tan, “ nonlinear optimal control of tethered satellite system using tether offset in presence of tether failure” Acta Astronautica, Vol. 66, No., 2010, pp. 1434-1448.
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