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A Distributed Algorithm for Area Partitioning in Grid-Shape and Vector-Shape Configurations with Multiple Aerial Robots

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Abstract

Partitioning strategies have proven to be the more efficient solutions to patrol cooperatively an area with multiple aerial robots from a frequency-based approach. They allow to obtain theoretically the optimal performance keeping periodical communications between the robots. Therefore, it allows to coordinate the robots from a distributed manner even under communications constraints. Assuming that the whole area is divided as a r × c grid, this paper proposes a new distributed algorithm where each robot divides the whole area allocation problem in two (one for its row and another for its column) and solves them in an independent manner based on the coordination variables. Moreover, this new algorithm is validated and compared from a convergence time point of view with respect to other previously presented methods.

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References

  1. Acevedo, J.J., Arrue, B.C., Diaz-Banez, J.M., Ventura, I., Maza, I., Ollero, A.: Decentralized strategy to ensure information propagation in area monitoring missions with a team of UAVs under limited communications. In: Proceedings of the International Conference on Unmanned Aircraft Systems (ICUAS 2013), pp 565–574 (2013)

  2. Acevedo, J.J., Arrue, B.C., Diaz-Banez, J.M., Ventura, I., Maza, I., Ollero, A.: One-to-one coordination algorithm for decentralized area partition in surveillance missions with a team of aerial robots. J. Intell. Robot. Syst., 1–17 (2014)

  3. Acevedo, J.J., Arrue, B.C., Maza, I., Ollero, A.: Cooperative large area surveillance with a team of aerial mobile robots for long endurance missions. J. Intell. Robot. Syst. 70, 329–345 (2013)

    Article  Google Scholar 

  4. Acevedo, J.J., Arrue, B.C., Maza, I., Ollero, A.: Cooperative perimeter surveillance with a team of mobile robots under communication constraints. In: International Conference on Intelligent Robots and Systems (2013)

  5. Acevedo, J.J., Arrue, B.C., Maza, I., Ollero, A.: A decentralized algorithm for area surveillance missions using a team of aerial robots with different sensing capabilities. In: Robotics and Automation (ICRA), 2014 IEEE International Conference on (2014)

  6. Baseggio, M., Cenedese, A., Merlo, P., Pozzi, M., Schenato, L.: Distributed perimeter patrolling and tracking for camera networks. In: Decision and Control (CDC), 2010 49th IEEE Conference on, pp 2093–2098 (2010)

  7. Beard, R.W., McLain, T.W., Nelson, D.B., Kingston, D., Johanson, D.: Decentralized cooperative aerial surveillance using fixed-wing miniature UAVs. In: Proceedings of the IEEE, vol. 94, pp 1306–1324 (2006)

  8. Bernard, M., Kondak, K., Maza, I., Ollero, A.: Autonomous transportation and deployment with aerial robots for search and rescue missions. Journal of Field Robotics 28(6), 914–931 (2011)

    Article  Google Scholar 

  9. Caraballo, L.E., Acevedo, J.J., Diaz-Banez, J.M., Arrue, B.C., Maza, I., Ollero, A.: The block-sharing strategy for area monitoring missions using a decentralized multi-uav system (2014)

  10. Carli, R., Cenedese, A., Schenato, L.: Distributed partitioning strategies for perimeter patrolling. In: American Control Conference (ACC), 2011, pp 4026–4031 (2011)

  11. Elmaliach, Y., Agmon, N., Kaminka, G.A.: Multi-robot area patrol under frequency constraints. In: Robotics and Automation, 2007 IEEE International Conference on, pp 385–390 (2007)

  12. Geng, X.: Consensus-reaching of multiple robots with fewer interactions. In: Computer Science and Information Engineering, 2009 WRI World Congress on, vol. 5, pp 249–253 (2009)

  13. Hazon, N., Kaminka, G.A.: On redundancy, efficiency, and robustness in coverage for multiple robots. Robot. Auton. Syst. 56(12), 1102–1114 (2008)

    Article  Google Scholar 

  14. Hsieh, M.A., Chaimowicz, L., Cowley, A., Grocholsky, B., Keller, J.F., Kumar, V., Taylor, C.J., Endo, Y., Arkin, R.C., Jung, B., Wolf, D.F., Sukhatme, G., MacKenzie, D.C.: Adaptive teams of autonomous aerial and ground robots for situational awareness. Journal of Field Robotics 24(11), 991–1014 (2007)

    Article  Google Scholar 

  15. Kingston, D., Beard, R.W., Holt, R.S.: Decentralized perimeter surveillance using a team of UAVs, Robotics, IEEE Transactions on, vol. 24 (2008)

  16. Merino, L., Caballero, F., Martinez de Dios, J.R., Maza, I., Ollero, A.: An unmanned aircraft system for automatic forest fire monitoring and measurement. J. Intell. Robot. Syst. 65(1), 533–548 (2012)

    Article  Google Scholar 

  17. Pasqualetti, F., Franchi, A., Bullo, F.: On cooperative patrolling: Optimal trajectories, complexity analysis, and approximation algorithms. Robotics, IEEE Transactions on, vol. 28 (2012)

  18. Wei R.: Decentralization of coordination variables in multi-vehicle systems. In: Networking, Sensing and Control, 2006. ICNSC ’06. Proceedings of the 2006 IEEE International Conference on, vol. 0-0, p 2006

  19. Schwager, M., Julian, B.J., Daniela, R.: Optimal coverage for multiple hovering robots with downward facing cameras. In: Robotics and Automation, 2009. ICRA ’09. IEEE International Conference on, pp 3515–3522 (2009)

  20. Viguria, A., Maza, I., Ollero, A.: Distributed service-based cooperation in aerial/ground robot teams applied to fire detection and extinguishing missions. Adv. Robot. 24(1-2), 1–23 (2010)

    Article  Google Scholar 

  21. Wong, C.Y., Seet, G., Sim, S.K., Pang, W.C.: A framework for area coverage and the visual search for victims in usar with a mobile robot. In: Sustainable Utilization and Development in Engineering and Technology (STUDENT), 2010 IEEE Conference on, pp 112–118 (2010)

  22. Zhang, H., Wang, W., zhao, W.: A topological area coverage algorithm for indoor vacuuming robot. In: Automation and Logistics, 2007 IEEE International Conference on, pp 2645–2649 (2007)

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Correspondence to José Joaquín Acevedo.

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This work has been developed in the framework of the ECSAFEMOBIL (FP7-ICT-2011-288082) European project. J.J. Acevedo was also partially supported by strategic funding LARSyS (FCT [UID/EEA/50009/2013]).

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Acevedo, J.J., Arrue, B.C., Maza, I. et al. A Distributed Algorithm for Area Partitioning in Grid-Shape and Vector-Shape Configurations with Multiple Aerial Robots. J Intell Robot Syst 84, 543–557 (2016). https://doi.org/10.1007/s10846-015-0272-5

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  • DOI: https://doi.org/10.1007/s10846-015-0272-5

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