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Circle Formation Control of Large-Scale Intelligent Swarm Systems in a Distributed Fashion

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Advances in Neural Networks – ISNN 2009 (ISNN 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5552))

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Abstract

The circle formation is a good starting point for many symmetric formations like an approximation of a circle, a simple polygon, or a line segment etc in the plane. A distributed manner is presented to fulfill the coordinated task of N mobile agents swarm (which could be swarm robotics, unmanned air/ocean vehicles namely UAV, satellites, mobile sensors, aircraft and spacecraft etc.) being forced to achieve a circle formation while avoiding collision between themselves. The control development method is based on artificial potential function namely APF and Newton-Raphson iteration. Finally, the performance of the method is examined by numerical simulations, the results further indicated that the individual members living in swarm during the course of coordinative motion can realize the stabilization of particular predefined a desired circle or a convex polygon formation.

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References

  1. Yang, B., Fang, H.J.: Stability Analysis of Stochastic Swarm Systems. Wuhan University Journal of Natural Science 12, 506–510 (2007)

    Article  MathSciNet  Google Scholar 

  2. Walker, J.G.: The Geometry of Cluster Orbits. J. Brit. Interplan. Soc. 35, 345–345 (1982)

    Google Scholar 

  3. Saaj, C.M., Vaios, L., Veysel, G.: Spacecraft Swarm Navigation and Control Using Artificial Potential Field and Sliding Mode Control. In: ICIT 2006. IEEE Conference on Industrial Technology, pp. 2646–2651. IEEE Press, Los Alamitos (2006)

    Chapter  Google Scholar 

  4. Chen, X., Li, Y.M.: Smooth Formation Navigation of Multiple Mobile Robots for Avoiding Moving Obstacles. International Journal of Control, Automation, and Systems 4, 466–479 (2006)

    Google Scholar 

  5. Chen, X., Li, Y.M.: Stability on Adaptive NN Formation Control with Variant Formation Patterns and Interaction Topologies. International Journal of Advanced Robotic Systems 5, 69–82 (2008)

    Article  Google Scholar 

  6. Chen, Y.Q., Wang, Z.M.: Formation Control: A Review and a New Consideration. In: IROS 2005. IEEE/RSJ International Conference on Intelligent Robots and Systems, pp. 3181–3186. IEEE Press, Los Alamitos (2005)

    Chapter  Google Scholar 

  7. Swarm, A., Amakobe, G., Grabczewski, K., Patel, T.: Swarm Behavior, pp. 1–12 (2006)

    Google Scholar 

  8. Santoro, N.: Distributed Computations by Autonomous Mobile Robots. In: Pacholski, L., Ružička, P. (eds.) SOFSEM 2001. LNCS, vol. 2234, pp. 110–115. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  9. Reza, O.S., Murray, R.M.: Distributed Cooperative Control of Multiple Vehicle Formations Using Structural Potential Functions. In: IFAC World Congress (2002)

    Google Scholar 

  10. Sinan Hanay, Y., Ilter Koksal, M., Volkan Hunerli, H., Samiloglu, A., Gazi, V.: Formation Control with Potential Functions and Newton Iteration. In: European Control Conference, Greece (2007)

    Google Scholar 

  11. Gazi, V., Passion, K.M.: Stability Analysis of Social Foraging Swarms. IEEE Trans. Systems, Man, and Cybernetics 34, 539–557 (2004)

    Article  Google Scholar 

  12. Gazi, V., Fidan, B., Hanay, Y.S., Koksal, M.I.: Aggregation, Foraging and Formation Control of Swarms with Non-Holonomic Agents Using Artificial Potentials and Sliding Mode Techniques. Turkish Journal of Electrical Engineering (2006)

    Google Scholar 

  13. Gazi, V., Passion, K.M.: A Class of Attraction/Repulsion Functions for Stable Swarm Aggregations. In: Proc. Conf. Decision Contr, Las Vegas, NV, pp. 2842–2847 (2002)

    Google Scholar 

  14. Saad, E., Awadalla, M., Hamdy, A., Ali, H.: A Distributed Algorithm for Robot Formations Using Local Sensing and Limited Range Communications. In: IPROMS, Robotics (2007)

    Google Scholar 

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© 2009 Springer-Verlag Berlin Heidelberg

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Xue, Z., Zeng, J. (2009). Circle Formation Control of Large-Scale Intelligent Swarm Systems in a Distributed Fashion. In: Yu, W., He, H., Zhang, N. (eds) Advances in Neural Networks – ISNN 2009. ISNN 2009. Lecture Notes in Computer Science, vol 5552. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01510-6_125

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  • DOI: https://doi.org/10.1007/978-3-642-01510-6_125

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01509-0

  • Online ISBN: 978-3-642-01510-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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