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Multi-agent Visibility-Based Target Tracking Game

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Distributed Autonomous Robotic Systems

Part of the book series: Springer Tracts in Advanced Robotics ((STAR,volume 112 ))

Abstract

In this paper, we address the problem of visibility-based target tracking for a team of mobile observers trying to track a team of mobile targets. Based on the results of previous work, the notion of pursuit fields around a single corner is introduced. We use the pursuit fields to generate navigation strategies for a single observer to track a single target in general environments. In order to tackle the case when more than one observer or target is present in the environment, we propose a two level hierarchical approach. At the upper level, the team of observers use a ranking and aggregation technique for allocating each target to an observer. At the lower level, each observer computes its navigation strategy based on the results of the single observer-single target problem, thereby, decomposing a large multi-agent problem into several 2-agent problems. Finally, we present a scalable algorithm that can accommodate an arbitrary number of observers and targets. The performance of this algorithm is evaluated based on simulation and implementation.

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References

  1. Hollinger, G.A., Djugash, J., Singh, S.: Target tracking without line of sight using range from radio. Auton. Rob. 32(1), 1–14 (2012)

    Article  Google Scholar 

  2. Li, T.-H.S., Chang, S.-J., Tong, W.: Fuzzy target tracking control of autonomous mobile robots by using infrared sensors. IEEE Trans. Fuzzy Syst. 12, 491–501 (2004)

    Article  Google Scholar 

  3. LaValle, S., Gonzalez-Banos, H., Becker, C., Latombe, J.-C.: Motion strategies for maintaining visibility of a moving target. In: IEEE International Conference on Robotics and Automation, Proceedings, vol. 1, pp. 731–736, Apr 1997

    Google Scholar 

  4. Kolling, A., Carpin, S.: Cooperative observation of multiple moving targets: an algorithm and its formalization. Int. J. Robot. Res. 26(9), 935–953 (2007)

    Article  Google Scholar 

  5. Lee, D., Kim, G., Kim, D., Myung, H., Choi, H.-T.: Vision-based object detection and tracking for autonomous navigation of underwater robots. Ocean Eng. 48, 59–68 (2012)

    Article  Google Scholar 

  6. Bhattacharya, S., Hutchinson, S.: Approximation schemes for two-player pursuit evasion games with visibility constraints. In: Proceedings of Robotics: Science and Systems IV, Zurich, Switzerland, June 2008

    Google Scholar 

  7. Bhattacharya, S., Hutchinson, S.: A cell decomposition approach to visibility-based pursuit evasion among obstacles. Int. J. Robot. Res. 30(14), 1709–1727 (2011)

    Article  Google Scholar 

  8. Gonzalez-Banos, H., Lee, C.-Y., Latombe, J.-C.: Real-time combinatorial tracking of a target moving unpredictably among obstacles. In: IEEE International Conference on Robotics and Automation. Proceedings. ICRA ’02, vol. 2, pp. 1683–1690 (2002)

    Google Scholar 

  9. Bandyopadhyay, T., Li, Y., Ang, Jr., M.H., Hsu, D.: Stealth Tracking of an Unpredictable Target Among Obstacles (2004)

    Google Scholar 

  10. Bandyopadhyay, T., Li, Y., Ang, Jr., M.H., Hsu, D.: A greedy strategy for tracking a locally predictable target among obstacles. In: IEEE International Conference on Robotics and Automation, ICRA 2006, Proceedings, pp. 2342–2347, May 2006

    Google Scholar 

  11. Bandyopadhyay, T., Hsu, D., Ang, J., Marcelo, H.: Motion strategies for people tracking in cluttered and dynamic environments. In: Khatib, O., Kumar, V., Pappas, G. (eds.) Experimental Robotics, Springer Tracts in Advanced Robotics, vol. 54, pp. 463–472. Springer, Berlin Heidelberg (2009)

    Google Scholar 

  12. Al-Bluwi, I., Elnagar, A.: Maintaining visibility of a moving target: maximizing escape time versus exposure time. In: 11th International Conference on Control Automation Robotics Vision (ICARCV), pp. 982–987, Dec 2010

    Google Scholar 

  13. Anderson, R., Milutinovic, D.: A stochastic approach to dubins feedback control for target tracking. In: IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp. 3917–3922, Sept 2011

    Google Scholar 

  14. Parker, L.: Distributed algorithms for multi-robot observation of multiple moving targets. Auton. Rob. 12(3), 231–255 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  15. Frew, E.W., Elston, J.: Target assignment for integrated search and tracking by active robot networks. In: Proceedings of the 2008 IEEE International Conference on Robotics and Automation, Pasadena, CA, pp. 2354–9, May 2008

    Google Scholar 

  16. Jung, B., Sukhatme, G.: Tracking targets using multiple robots: the effect of environment occlusion. Auton. Rob. 13(3), 191–205 (2002)

    Article  MATH  Google Scholar 

  17. Jung, B., Sukhatme, G.: Cooperative multi-robot target tracking. In: Gini, M., Voyles, R. (eds.) Distributed Autonomous Robotic Systems, vol. 7, pp. 81–90. Springer, Japan (2006)

    Google Scholar 

  18. Jung, B., Sukhatme, G.: Real-time motion tracking from a mobile robot. Int. J. Soc. Robot. 2(1), 63–78 (2010)

    Article  Google Scholar 

  19. Hollinger, G., Singh, S., Djugash, J., Kehagias, A.: Efficient multi-robot search for a moving target. Int. J. Robot. Res. 28(2), 201–219 (2009)

    Article  Google Scholar 

  20. Derenick, J., Spletzer, J., Hsieh, A.: An optimal approach to collaborative target tracking with performance guarantees. J. Intell. Rob. Syst. 56(1–2), 47–67 (2009)

    Article  MATH  Google Scholar 

  21. Lee, G., Chong, N., Christensen, H.: Tracking multiple moving targets with swarms of mobile robots. Intell. Serv. Robot. 3(2), 61–72 (2010)

    Article  Google Scholar 

  22. Wu, W., Zhang, F.: A switching strategy for target tracking by mobile sensing agents. J. Commun. 8(1), 47–54 (2013)

    Article  Google Scholar 

  23. Ahmad, A., Tipaldi, G., Lima, P., Burgard, W.: Cooperative robot localization and target tracking based on least squares minimization. In: IEEE International Conference on Robotics and Automation (ICRA), pp. 5696–5701, May 2013

    Google Scholar 

  24. Xu, Z., Fitch, R., Sukkarieh, S.: Decentralised coordination of mobile robots for target tracking with learnt utility models. In: IEEE International Conference on Robotics and Automation (ICRA), pp. 2014–2020, May 2013

    Google Scholar 

  25. Chung, T., Hollinger, G., Isler, V.: Search and pursuit-evasion in mobile robotics. Auton. Rob. 31(4), 299–316 (2011)

    Article  Google Scholar 

  26. Bhattacharya, S., Candido, S., Hutchinson, S.: Motion strategies for surveillance. In: Proceedings of Robotics: Science and Systems, Atlanta, GA, USA, June 2007

    Google Scholar 

  27. Isaacs, R.: Differential Games: A Mathematical Theory with Applications to Warfare and Pursuit, Control and Optimization. Dover Publications, Mineola (1965)

    Google Scholar 

  28. Kuhn, H.W.: The Hungarian method for the assignment problem. Naval Res. Logistics Quart. 2, 83–97 (1955)

    Article  MathSciNet  MATH  Google Scholar 

  29. Emerson, P.: The original borda count and partial voting. Soc. Choice Welf. 40(2), 353–358 (2013)

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Iowa State University, Ames, USA

    Mengzhe Zhang & Sourabh Bhattacharya

Authors
  1. Mengzhe Zhang
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  2. Sourabh Bhattacharya
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Corresponding author

Correspondence to Sourabh Bhattacharya .

Editor information

Editors and Affiliations

  1. Japan Advanced Institute of Science and Technology, Nomi, Ishikawa, Japan

    Nak-Young Chong

  2. Electronics and Telecommunications Research Institute, Daejeon, Korea (Republic of)

    Young-Jo Cho

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Zhang, M., Bhattacharya, S. (2016). Multi-agent Visibility-Based Target Tracking Game. In: Chong, NY., Cho, YJ. (eds) Distributed Autonomous Robotic Systems. Springer Tracts in Advanced Robotics, vol 112 . Springer, Tokyo. https://doi.org/10.1007/978-4-431-55879-8_19

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  • DOI: https://doi.org/10.1007/978-4-431-55879-8_19

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  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-55877-4

  • Online ISBN: 978-4-431-55879-8

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