Abstract
This paper provides a fully decentralized approach for multi-robot simultaneous localization and target tracking based on extended Kalman filter and covariance union (CU), referred to as (EDMR-SLTT). In the proposed approach, each robot maintains the latest estimate of itself and targets, and information exchange only takes place between two robots when they obtain relative measurements of each other. Moreover, we have proved that when CU is used to fuse the target state estimate with the target state estimated by teammate robots, the positive definiteness of the robot and target joint covariance matrix is guaranteed without any calculation of the robot-to-target correlation terms. Finally, simulation and experimental results have shown that the EDMR-SLTT approach is superior to alternative state-of-the-art approaches with comparable processing and communication costs.
Similar content being viewed by others
Explore related subjects
Discover the latest articles and news from researchers in related subjects, suggested using machine learning.Data Availability
All data and custom code support this study are available from the corresponding author, Shudong Sun, upon reasonable request.
References
Alonso-Mora, J., Baker, S., Rus, D.: Multi-robot formation control and object transport in dynamic environments via constrained optimization. Int. J. Robot. Res. 36(9), 1000–1021 (2017)
Capitan, J., Merino, L., Ollero, A.: Cooperative decision-making under uncertainties for multi-target surveillance with multiples uavs. J. Intell. Robot. Syst. 84(1), 371–386 (2016)
Liu, Y., Nejat, G.: Robotic urban search and rescue: a survey from the control perspective. J. Intell. Robot. Syst. 72(2), 147–165 (2013)
Abbasi, A., MahmoudZadeh, S., Yazdani, A.: A cooperative dynamic task assignment framework for cotsbot auvs. IEEE Transactions on Automation Science and Engineering (2020)
Wang, X., Sun, S., Li, T., Liu, Y.: Fault tolerant multi-robot cooperative localization based on covariance union. IEEE Robot. Autom. Lett. 6(4), 7799–7806 (2021)
Pires, A.G., Rezeck, P.A., Chaves, R.A., Macharet, D.G., Chaimowicz, L.: Cooperative localization and mapping with robotic swarms. J. Intell. Robot. Syst. 102(2), 1–23 (2021)
Huang, G., Kaess, M., Leonard, J.J.: Consistent unscented incremental smoothing for multi-robot cooperative target tracking. Rob Auton Syst 69, 52–67 (2015)
Chang, C.-H., Wang, S.-C., Wang, C.-C.: Exploiting moving objects: multi-robot simultaneous localization and tracking. IEEE Trans. Autom. Sci. Eng. 13(2), 810–827 (2015)
Mirzaei, F.M., Mourikis, A.I., Roumeliotis, S.I.: On the performance of multi-robot target tracking. In: Proceedings 2007 IEEE International Conference on Robotics and Automation, pp 3482–3489. IEEE (2007)
Ahmad, A., Tipaldi, G.D., Lima, P., Burgard, W.: Cooperative robot localization and target tracking based on least squares minimization. In: 2013 IEEE International Conference on Robotics and Automation, pp 5696–5701. IEEE (2013)
Ahmad, A., Lawless, G., Lima, P.: An online scalable approach to unified multirobot cooperative localization and object tracking. IEEE Trans. Robot. 33(5), 1184–1199 (2017)
Hausman, K., Müller, J., Hariharan, A., Ayanian, N., Sukhatme, G.S.: Cooperative multi-robot control for target tracking with onboard sensing. The International Journal of Robotics Research 34 (13), 1660–1677 (2015)
Julier, S., Uhlmann, J.K.: General decentralized data fusion with covariance intersection. Handbook of multisensor data fusion:, theory and practice, pp. 319–344 (2009)
Lyu, Y., Pan, Q., Lv, J.: Unscented transformation-based multi-robot collaborative self-localization and distributed target tracking. Appl. Sci. 9(5), 903 (2019)
Zhu, P., Ren, W.: Fully distributed joint localization and target tracking with mobile robot networks. IEEE Transactions on Control Systems Technology (2020)
Zhu, P., Ren, W.: Multi-robot joint localization and target tracking with local sensing and communication. In: 2019 American Control Conference (ACC), pp 3261–3266. IEEE (2019)
Chen, L., Arambel, P.O., Mehra, R.K.: Estimation under unknown correlation: Covariance intersection revisited. IEEE Trans. Autom. Control 47(11), 1879–1882 (2002)
Li, T., Corchado, J.M., Sun, S.: On generalized covariance intersection for distributed phd filtering and a simple but better alternative. In: 2017 20th International Conference on Information Fusion (Fusion), pp 1–8. IEEE (2017)
Luft, L., Schubert, T., Roumeliotis, S.I., Burgard, W.: Recursive decentralized localization for multi-robot systems with asynchronous pairwise communication. Int. J. Robot. Res. 37(10), 1152–1167 (2018)
Julier, S.J., Uhlmann, J.K.: Using covariance intersection for slam. Robot. Auton. Syst. 55 (1), 3–20 (2007)
Zhu, J., Kia, S.S.: Cooperative localization under limited connectivity. IEEE Trans. Robot. 35(6), 1523–1530 (2019)
Howard, A., Matark, M.J., Sukhatme, G.S.: Localization for mobile robot teams using maximum likelihood estimation. In: IEEE/RSJ International Conference on Intelligent Robots and Systems, vol. 1, pp 434–439. IEEE (2002)
Huang, G.P., Trawny, N., Mourikis, A.I., Roumeliotis, S.I.: Observability-based consistent ekf estimators for multi-robot cooperative localization. Auton. Robot. 30(1), 99–122 (2011)
Roumeliotis, S.I., Bekey, G.A.: Distributed multirobot localization. IEEE Int. Conf. Robot. Autom. 18(5), 781–795 (2002)
Kia, S.S., Rounds, S., Martinez, S.: Cooperative localization for mobile agents: A recursive decentralized algorithm based on kalman-filter decoupling. IEEE Control. Syst. Mag. 36(2), 86–101 (2016)
Carrillo-Arce, L.C., Nerurkar, E.D., Gordillo, J.L., Roumeliotis, S.I.: Decentralized multi-robot cooperative localization using covariance intersection. In: 2013 IEEE/RSJ International Conference on Intelligent Robots and Systems, pp 1412–1417. IEEE (2013)
Klingner, J., Ahmed, N., Correll, N.: Fault-tolerant covariance intersection for localizing robot swarms. Robot. Auton. Syst. 122, 103306 (2019)
Li, H., Nashashibi, F., Yang, M.: Split covariance intersection filter: Theory and its application to vehicle localization. IEEE Trans. Intell. Transp. Syst. 14(4), 1860–1871 (2013)
Li, L., Yang, M.: Joint localization based on split covariance intersection on the lie group. IEEE Trans. Robot. 37(5), 1508–1524 (2021)
Gohring, D., Burkhard, H.-D.: Multi robot object tracking and self localization using visual percept relations. In: 2006 IEEE/RSJ International Conference on Intelligent Robots and Systems, pp 31–36. IEEE (2006)
Ahmad, A., Lima, P.: Multi-robot cooperative spherical-object tracking in 3d space based on particle filters. Robot. Auton. Syst. 61(10), 1084–1093 (2013)
Schmitt, T., Hanek, R., Beetz, M., Buck, S., Radig, B.: Cooperative probabilistic state estimation for vision-based autonomous mobile robots. IEEE Int. Conf. Robot. Autom. 18(5), 670–684 (2002)
Chang, C.-K., Chang, C.-H., Wang, C.-C.: Communication adaptive multi-robot simultaneous localization and tracking via hybrid measurement and belief sharing. In: 2014 IEEE International Conference on Robotics and Automation (ICRA), pp 5016–5023. IEEE (2014)
Li, T., Xin, Y., Song, Y., Song, E., Fan, H.: Some statistic and information-theoretic results on arithmetic average density fusion. arXiv:2110.01440 (2021)
Julier, S.J., Uhlmann, J.K.: Fusion of time delayed measurements with uncertain time delays. In: Proceedings of the 2005, American Control Conference, 2005, pp 4028–4033. IEEE (2005)
Horn, R.A., Horn, R.A., Johnson, C.R.: Topics in matrix analysis. Cambridge University Press (1994)
Bakr, M.A., Lee, S.: Distributed multisensor data fusion under unknown correlation and data inconsistency. Sensors 17(11), 2472 (2017)
Peng, Z., Wen, G., Rahmani, A., Yu, Y.: Leader–follower formation control of nonholonomic mobile robots based on a bioinspired neurodynamic based approach. Robotics and Autonomous Systems 61 (9), 988–996 (2013)
Funding
This work was supported by the National Natural Science Foundation of China [grants no. 62071389 and 51975482] and Shaanxi Provincial Key R&D Program of China [grant no. 2019ZDLGY14-10].
Author information
Authors and Affiliations
Contributions
All authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by Xuedong Wang, Shudong Sun and Tiancheng Li. The first draft of the manuscript was written by Xuedong Wang and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Wang, X., Sun, S., Li, T. et al. A Consistent Union-for-Fusion Approach to Multi-Robot Simultaneous Localization and Target Tracking. J Intell Robot Syst 106, 70 (2022). https://doi.org/10.1007/s10846-022-01770-6
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10846-022-01770-6