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JRM Vol.21 No.4 pp. 469-477
doi: 10.20965/jrm.2009.p0469
(2009)

Paper:

A Mobile Sensor Network Forming Concentric Circles Through Local Interaction and Consensus Building

Geunho Lee*, Seokhoon Yoon*, Nak Young Chong*, and Henrik Christensen**

*School of Information Science, Japan Advanced Institute of Science and Technology,
Nomi, Ishikawa 923-1292, Japan

**College of Computing, Georgia Institute of Technology,
Atlanta, GA 30332, USA

Received:
February 2, 2009
Accepted:
May 25, 2009
Published:
August 20, 2009
Keywords:
sensor network, robot swarm, concentric circle, local interaction, consensus
Abstract
We address the problem of a swarm of autonomous mobile robotic sensors generating geometric shapes to build wireless ad hoc surveillance sensor networks. Robot swarms with limited observation are required to form different shapes under different task conditions. To do this, we propose decentralized coordination enabling a robot swarm dispersed across an area to form a desired shape. Our approach has emphn robots generate a circumscribed circle of a regular emphn-polygon based on local interaction with neighboring robots. The approach also enables a large robot swarm to form concentric circles through consensus. We mathematically demonstrate convergence confirming the feasibility using extensive simulation. Our results indicate that our approach is applicable to mobile sensor network surveillance and security networks.
Cite this article as:
G. Lee, S. Yoon, N. Chong, and H. Christensen, “A Mobile Sensor Network Forming Concentric Circles Through Local Interaction and Consensus Building,” J. Robot. Mechatron., Vol.21 No.4, pp. 469-477, 2009.
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References
  1. [1] H. Choset, “Coverage for robotics - a survey of recent results,” Annals of Math. and Artificial Intelligence, Vol.31, No.1-4, pp. 113-126, 2001.
  2. [2] G. Lee and N. Y. Chong, “Self-configurable mobile robot swarms with hole repair capability,” IEEE/RSJ Int. Conf. Intelligent Robots and Systems, pp. 1403-1408, 2008.
  3. [3] N. Boeddeker and M. Egelhaaf, “Steering a virtual blowfly: simulation of visual pursuit,” Proc. Biological Sciences, Vol.270, No.1527, pp. 1971-1978, 2003.
  4. [4] I. Suzuki and M. Yamashita, “Distributed anonymous mobile robots: formation of geometric patterns,” SIAM Jour. of Computing, Vol.28, No.4, pp. 1347-1363, 1999.
  5. [5] X. Defago and A. Konagaya, “Circle formation for oblivious anonymous mobile robots with no common sense of orientation,” Proc. 2nd ACM Int. Work. Principles of Mobile Computing, pp. 97-104, 2002.
  6. [6] G. Baldassarre, V. Trianni, M. Bonani, F. Mondada, M. Dorigo, and S. Nolfi, “Self-organized coordinated motion in groups of physically connected robots,” IEEE Trans. on Systems Man and Cybernetics - Part B, Vol.37, No.1, pp. 224-239, 2007.
  7. [7] Y. Ikemoto, Y. Hasegawa, T. Fukuda, and K. Matsuda, “Graduated spatial pattern formation of robot group,” Information Sciences, Vol.171, No.4, pp. 431-445, 2005.
  8. [8] B. Werger and M. J. Mataric, “From insect to internet: situated control for networked robot teams,” Annals of Mathematics and Artificial Intelligence, Vol.31, pp. 173-198, 2001.
  9. [9] T. Balch and M. Hybinette, “Social potentials for scalable multi-robot formations,” Proc. IEEE Int. Conf. Robotics and Automation, pp. 73-80, 2000.
  10. [10] Y. F. Zheng and W. Chen, “Mobile robot team forming for crystallization of protein,” Autonomous Robots, Vol.23, No.1, pp. 69-78, 2007.
  11. [11] W. Spears, D. Spears, J. Hamann, and R. Heil, “Distributed, physics-based control of swarms of vehicles,” Autonomous Robots, Vol.17, No.2-3, pp. 137-162, 2004.
  12. [12] J. Reif and H. Wang, “Social potential fields: a distributed behavioral control for autonomous robots,” Robotics and Autonomous Systems, Vol.27, No.3, pp. 171-194, 1999.
  13. [13] B. Shucker, T. Murphey, and J. K. Bennett, “A method of cooperative control using occasional non-local interactions,” Proc. IEEE Conf. Robotics and Automation, pp. 1324-1329, 2006.
  14. [14] G. Lee and N. Y. Chong, “A geometric approach to deploying robot swarms,” Annals of Math. and Artificial Intelligence, Vol.52, No.2-4, pp. 257-280, 2008.
  15. [15] J. Fredslund and M. J. Mataric, “A general algorithm for robot formations using local sensing and minimal communication,” IEEE Trans. on Robotics and Automation, Vol.18, No.5, pp. 837-846, 2002.
  16. [16] G. Lee and N. Y. Chong, “Decentralized formation control for small-scale robot teams with anonymity,” Mechtronics, Vol.19, No.1, pp. 85-105, 2009.
  17. [17] J. L. Gross and J. Yellen, “Graph theory and its applications,” CRC Press, 1999.
  18. [18] J. R. Carpenter, “Decentralized control of satellite formations,” Int. Journal of Robust and Nonlinear Control, Vol.12, No.2-3, pp. 141-161, 2002.
  19. [19] J. A. Fax and R. M. Murray, “Information flow and cooperative control of vehicle formations,” IEEE Trans. on Automatic Control, Vol.49, No.9, pp. 1465-1476, 2004.
  20. [20] W. Ren and R. W. Beard, “Consensus seeking in multiagent systems under dynamically changing interaction topologies,” IEEE Trans. on Automatic Control, Vol.50, No.5, pp. 655-661, 2005.
  21. [21] T. Vicsek, A. Czirok, E. Ben-Jacob, I. Cohen, and O. Schochet, “Novel type of phase transitions in a system of self-driven particles,” Physical Review Letters, Vol.75, No.6, pp. 1226-1229, 1995.
  22. [22] R. Olfati-Saber and R. M. Murray, “Consensus problems in networks of agents with switching topology and time-delays,” IEEE Trans. on Automatic Control, Vol.49, No.9, pp. 1520-1533, 2004.
  23. [23] Z. Lin, B. Francis, and M. Maggiore, “Necessary and sufficient graphical conditions for formation control of unicycles,” IEEE Trans. on Automatic Control, Vol.50, No.1, pp. 121-127, 2005.
  24. [24] H. G. Tanner, A. Jadbabaie, and G. J. Pappas, “Stable flocking of mobile agents, part i: fixed topology,” Proc. 42nd IEEE Conf. Decision and Control, pp. 2010-2015, 2003.
  25. [25] J. E. Slotine and W. Li, “Applied nonlinear control,” Prentice-Hall, 1991.
  26. [26] H. K. Khalil, “Nonlinear systems,” 2nd ed., Prentice-Hall, 1996.
  27. [27] S. Yoon, G. Lee, N. Y. Chong, and H. Christensen “Multi-robot formation generation with dual rotating infrared sensors,” Proc. 39th Int. Symposium on Robotics, pp. 867-872, 2008.
  28. [28] G. Lee, S. Yoon, N. Y. Chong, and H. Christensen, “Self-configuring robot swarms with dual rotating infrared sensors,” Proc. IEEE/RSJ Int. Conf. on Intelligent Robots and Systems, October, 2009. (to be appeared)

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