Abstract
In cooperative localization a group of robots exchange relative position measurements from their exteroceptive sensors and their motion information from interoceptive sensors to collectively estimate their position and heading. For the localization errors to be bounded, it is required that the system be observable, independent of the estimation technique being used. In this paper, we develop a test-bed of three ground robots, which are equipped with wheel encoders and omnidirectional cameras, to implement the bearing-only cooperative localization. The simulation and experimental results validate the observability conditions, derived in Sharma et al. (IEEE Trans Robot 28:2, 2011), for the complete observability of the bearing-only cooperative localization problem.
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Sharma, R., Beard, R.W., Taylor, C.N., Quebe, S.: Graph-based observability analysis of bearing-only cooperative localization. IEEE Trans. Robot. 28(2), 522–529 (2011)
Kurazume, R., Hirose, S.: Study on cooperative positioning system: optimum moving strategies for CPS-III. In: Proc. IEEE International Conference on Robotics and Automation, vol. 4, 16–20, pp. 2896–2903 (1998)
Sanderson, A.C.: A distributed algorithm for cooperative navigation among multiple mobile robots. Adv. Robot. 12, 335–349 (1998)
Roumeliotis, S.I., Bekey, G.A.: Collective localization: a distributed kalman filter approach to localization of groups of mobile robots. In: Proc. IEEE International Conference on Robotics and Automation ICRA ’00, vol. 3, pp. 2958–2965 (2000)
Spletzer, J., Das, A., Fierro, R., Taylor, C., Kumar, V., Ostrowski, J.: Cooperative localization and control for multi-robot manipulation. In: Proc. IEEE/RSJ International Conference on Intelligent Robots and Systems, vol. 2, pp. 631–636 (2001)
Rekleitis, I.M., Dudek, G., Milios, E.E.: Multi-robot cooperative localization: a study of trade-offs between efficiency and accuracy. In: Proc. IEEE/RSJ International Conference on Intelligent Robots and System, vol. 3, pp. 2690–2695 (2002)
Nebot, P., Gomez, D., Cervera, E.: Agents for cooperative heterogeneous mobile robotics: a case study. In: Proc. IEEE International Conference on Systems, Man and Cybernetics, vol. 1, pp. 557–562 (2003)
Bahr, A., Leonard, J.J., Fallon, M.F.: Cooperative localization for autonomous underwater vehicles. Int. J. Robot. Res. 28(6), 714–728 (2009)
Mourikis, A., Roumeliotis, S.: Analysis of positioning uncertainty in reconfigurable networks of heterogeneous mobile robots. In: Proc. IEEE International Conference on Robotics and Automation ICRA ’04, vol. 1, pp. 572–579 (2004)
Roumeliotis, S.I., Bekey, G.A.: Distributed multirobot localization. IEEE Trans. Robot. Auton. Syst. 18(5), 781–795 (2002)
Howard, A., Matark, M.J., Sukhatme, G.S.: Localization for mobile robot teams using maximum likelihood estimation. In: Proc. IEEE/RSJ Int Intelligent Robots and Systems Conf, vol. 1, pp. 434–439 (2002)
Fox, D., Burgard, W., Kruppa, H., Tharun, S.: A probabilistic approach to collaborative multi-robot localization. Auton. Robot. 8, 325–344 (2000)
Nerurkar, E.D., Roumeliotis, S.I., Martinelli, A.: Distributed maximum a posteriori estimation for multi-robot cooperative localization. In: Proc. IEEE Int. Conf. Robotics and Automation ICRA ’09, pp. 1402–1409 (2009)
Bicchi, A., Pratichizzo, D., Marigo, A., Balestrino, A.: On the observability of mobile vehicles localization. In: IEEE Mediterranean Conference on Control and Systems (1998)
Huang, G., Mourikis, A., Roumeliotis, S.: Analysis and improvement of the consistency of extended kalman filter based SLAM. In: Proc. IEEE International Conference on Robotics and Automation ICRA 2008, pp. 473–479 (2008)
Martinelli, A., Siegwart, R.: Observability analysis for mobile robot localization In: Proc. IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2005), pp. 1471–1476 (2005)
Betke, M., Gurvits, L.: Mobile robot localization using landmarks. IEEE Trans. Robot. Auton. Syst. 13(2), 251–263 (1997)
Perera, L.D.L., Melkumyan, A., Nettleton, E.: On the linear and nonlinear observability analysis of the SLAM problem. In: Proc. IEEE Int. Conf. Mechatronics ICM 2009, pp. 1–6 (2009)
Lee, K.W., Wijesoma, W.S., Javier, I.G.: On the observability and observability analysis of SLAM. In: Proc. IEEE/RSJ Int Intelligent Robots and Systems Conf, pp. 3569–3574 (2006)
Mourikis, A., Roumeliotis, S.: Performance analysis of multirobot cooperative localization. IEEE Trans. Robot. Auton. Syst. 22(4), 666–681 (2006)
Song, Y., Grizzle, J.W.: The extended kalman filter as a local asymptotic observer for descrete -time nonlinear systems. J. Math. Syst. Estim. Contr. 5, 59–78 (1995)
Hermann, R., Krener, A.: Nonlinear controllability and observability. IEEE Trans. Autom. Contr. 22(5), 728–740 (1977)
Ethan Stump, V.K., Jadbabaie, A.: Connectivity management in mobile robot teams. In: IEEE International Conference on Robotics and Automation (2008)
Sharma, R.: https://sites.google.com/site/rajnikantwiki/research/cooperative-localization (2011)
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Sharma, R., Quebe, S., Beard, R.W. et al. Bearing-only Cooperative Localization. J Intell Robot Syst 72, 429–440 (2013). https://doi.org/10.1007/s10846-012-9809-z
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DOI: https://doi.org/10.1007/s10846-012-9809-z