Abstract
Cooperative localization allows groups of robots to improve their overall localization by sharing position estimates within the team. In spite of being a well studied problem, very few works deal with the increased complexity when a large number of robots is used, as is the case in robotic swarms. In this paper, we present a characterization and analysis of the cooperative localization problem for robotic swarms. We use a decentralized cooperative mechanism in which robots take turns as dynamic landmarks providing information to their teammates. We perform several simulations and analyze the influence of these dynamic landmarks in the localization. More specifically, we study the impact of the number of robots in the localization and how the choice of landmarks affects the results.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
Notes
- 1.
We use the notation \(*^{i,j}_k\) to express that a certain value associated with robot i was obtained using information and/or measurements from robot j at time-step k.
- 2.
Notation is similar to [1], where \(\hat{\mathbf {y}}_{l|m}\) denotes the estimate of the random variable \(\mathbf {y}\) at time-step l, given the measurements up to time-step m.
References
Carrillo-Arce, L., Nerurkar, E., Gordillo, J., Roumeliotis, S.: Decentralized multi-robot cooperative localization using covariance intersection. In: Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems, pp. 1412–1417 (2013)
Hidaka, Y., Mourikis, A., Roumeliotis, S.: Optimal formations for cooperative localization of mobile robots. In: Proceedings of the IEEE International Conference on Robotics and Automation, pp. 4126–4131. Barcelona, Spain (2005)
Julier, S.J., Uhlmann, J.K.: A non-divergent estimation algorithm in the presence of unknown correlations. In: Proceedings of the American Control Conference, vol. 4, pp. 2369–2373 (1997)
Kalman, R.E.: A new approach to linear filtering and prediction problems. Trans. ASME—J. Basic Eng. 82(Series D), 35–45 (1960)
Kurazume, R., Hirose, S.: An experimental study of a cooperative positioning system. Auton. Robots 8(1), 43–52 (2000)
Kurazume, R., Nagata, S., Hirose, S.: Cooperative positioning with multiple robots. In: Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems, pp. 1250–1257 (1994)
Rekleitis, I.M., Dudek, G., Milios, E.E.: On multiagent exploration. In: Proceedings of Vision Interface, pp. 455–461 (1998)
Rekleitis, I.M., Dudek, G., Milios, E.E.: Multi-Robot cooperative localization: a study of trade-offs between efficiency and accuracy. In: Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems, vol. 3, pp. 2690–2695 (2002)
Reynolds, C.W.: Flocks, herds, and schools: a distributed behavioral model. In: Computer Graphics, pp. 25–34 (1987)
Roumeliotis, S.I., Bekey, G.A.: Collective Localization: a distributed Kalman filter approach to localization of groups of mobile robots. In: Proceedings of the IEEE International Conference on Robotics and Automation, vol. 3, pp. 2958–2965 (2000)
Roumeliotis, S.I., Rekleitis, I.M.: Propagation of uncertainty in cooperative multirobot localization: analysis and experimental results. Auton. Robots 17, 41–54 (2004)
Schneider, F.E., Wildermuth, D.: Influences of the robot group size on cooperative multi-robot localisation—analysis and experimental validation. Robot. Auton. Syst. 60(11), 1421–1428 (2012)
Smith, R.C., Cheeseman, P.: On the representation and estimation of spatial uncertainty. Int. J. Robot. Res. 4, 56–68 (1986)
Tully, S., Kantor, G., Choset, H.: Leap-frog path design for multi-robot cooperative localization. In: Howard, A., Iagnemma, K., Kelly, A. (eds.) Field and Service Robotics, Springer Tracts in Advanced Robotics, vol. 62, pp. 307–317. Springer, Berlin (2010)
Zhang, F., Grocholsky, B., Kumar, V.: Formations for localization of robot networks. In: Proceedings of the IEEE International Conference on Robotics and Automation, vol. 4, pp. 3369–3374. New Orleans, LA, USA (2004)
Zhou, X.S., Zhou, K.X., Roumeliotis, S.I.: Optimized motion strategies for localization in leader-follower formations. In: Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems, pp. 98–105. San Francisco, CA, USA (2011)
Acknowledgments
This work was developed with the support of CEFET-MG, CAPES, FAPEMIG and CNPq.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer Japan
About this paper
Cite this paper
Pires, A.G., Macharet, D.G., Chaimowicz, L. (2016). Towards Cooperative Localization in Robotic Swarms. 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_8
Download citation
DOI: https://doi.org/10.1007/978-4-431-55879-8_8
Published:
Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-55877-4
Online ISBN: 978-4-431-55879-8
eBook Packages: EngineeringEngineering (R0)