Abstract
We present a distributed control strategy that lets a swarm of satellites autonomously form a lattice in orbit around a planet. The system, based on the artificial potential field approach, proposes a novel way to split the artificial field in two main terms: a global artificial field that gathers the satellites around a predefined meeting point, and a local term that allows a satellite to place itself in the correct position relative to its closest neighbors. We apply the method to the problem of forming a two dimensional hexagonal lattice, using the well-known Lennard-Jones potential as local artificial field. The control parameters have been obtained with a genetic algorithm to maximize the precision of the formed lattice. The precision does not depend on the number of satellites and convergence is achieved from all initial distributions of the satellites.
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Curtis, S., Mica, J., Nuth, J., Marr, G., Rilee, M., Bhat, M.: ANTS (Autonomous Nano-Technology Swarm): An artificial intelligence approach to asteroid belt resource exploration. In: International Astronautical Federation, 51th Congress (2000)
D’Arrigo, P., Santandrea, S.: The APIES mission. ASTRIUM Ltd./ESA-ESTEC Feasibility Study A0/1-3846/02/NL/JA, Stevenage, UK (2004)
Mori, M., Nagayama, H., Saito, Y., Matsumoto, H.: Summary of studies on space solar power systems of the national space development agency of Japan. Acta Astronautica 54(5), 337–345 (2004)
Pinciroli, C., Birattari, M., Tuci, E., Dorigo, M., del Rey Zapatero, M., Vinko, T., Izzo, D.: Self-organizing and scalable shape formation for a swarm of pico satellites. In: Proceedings of the NASA/ESA Conference on Adaptive Hardware and Systems (AHS-2008). IEEE Computer Society Press, Washington (in press, 2008)
Clohessey, W., Wiltshire, R.: Terminal guidance systems for satellite rendez-vous. Journal of the Aerospace Sciences 27(9), 653–658 (1960)
Khatib, O.: Real-time obstacle avoidance for manipulators and mobile robots. International Journal of Robotics Research 5(1), 90–98 (1986)
Ge, S.S., Cui, Y.I.: Dynamic motion planning for mobile robots using potential field method. Autonomous Robots 13(3), 207–222 (2002)
Badawy, A., McInnes, C.: On-orbit assembly using superquadric potential fields. Journal of Guidance, Control, and Dynamics 31(1), 30–43 (2008)
Balch, T., Arkin, R.C.: Motor schema-based formation control for multiagent robot teams. In: Lesser, V., Gasser, L. (eds.) Proceedings of the First International Conference on Multiagent Systems (ICMAS 1995), pp. 10–16. AAAI Press, San Francisco (1995)
Spears, W., Spears, D., Hamann, J., Heil, R.: Distributed, physics-based control of swarms of vehicles. Autonomous Robots 17(2-3) (2004)
Kittel, C.: Introduction to Solid State Physics. Wiley, New York (1986)
Lamport, L.: Lower bounds on asynchronous consensus. In: Schiper, A., Shvartsman, A.A., Weatherspoon, H., Zhao, B.Y. (eds.) Future Directions in Distributed Computing. LNCS, vol. 2584, pp. 22–23. Springer, Heidelberg (2003)
Goldberg, D.E.: Genetic Algorithms in Search, Optimization and Machine Learning. Addison-Wesley, Boston (1989)
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Pinciroli, C. et al. (2008). Lattice Formation in Space for a Swarm of Pico Satellites. In: Dorigo, M., Birattari, M., Blum, C., Clerc, M., Stützle, T., Winfield, A.F.T. (eds) Ant Colony Optimization and Swarm Intelligence. ANTS 2008. Lecture Notes in Computer Science, vol 5217. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87527-7_36
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DOI: https://doi.org/10.1007/978-3-540-87527-7_36
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-87526-0
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