Abstract
In multi-robot applications, consensus control and coordination are vital and potentially repetitive tasks. To circumvent practical limitations such as a global localization system, researchers have focused on bearing-based consensus controllers, but most assumed that measurements from sensors (e.g., vision) are noise-free. In this paper, we propose to use wireless signal measurements to estimate the direction of arrival (relative bearings) of neighboring robots and introduce a weighted bearing consensus controller to achieve coordinate-free distributed multi-robot rendezvous. We prove that the proposed controller guarantees connectivity maintenance and convergence even in the presence of measurement noise. We conduct extensive numerical simulation experiments using the Robotarium multi-robot platform to verify and demonstrate the properties of the proposed controller and to compare the performance of the rendezvous task against several state-of-the-art rendezvous controllers.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsNotes
- 1.
Robotarium is a freely accessible remote multi-robot software and hardware testbed provided by Georgia Tech, available at https://www.robotarium.gatech.edu.
- 2.
- 3.
Note the problem can be adapted to higher dimensions (e.g. for aerial and underwater vehicles).
- 4.
We assume RSS is measured in dBm as provided by most Wi-Fi manufacturers. However, to retain the exponential mapping of the signal power with distance, we convert the RSS in dBm to Watts using \(R (W) = E^{-3} 10^{[\frac{R(dBm)}{10}]}\) for use in our controller.
- 5.
Details on the SOTA controllers and the results are shown in https://youtu.be/6BkFrJ8vceg.
References
Aranda, M., López-Nicolás, G., Sagüés, C.: Coordinate-free control of multirobot formations. In: Control of Multiple Robots Using Vision Sensors, pp. 131–181. Springer (2017)
Banfi, J., Li, A.Q., Basilico, N., Rekleitis, I., Amigoni, F.: Multirobot online construction of communication maps. In: 2017 IEEE International Conference on Robotics and Automation (ICRA), pp. 2577–2583, May 2017
Caccamo, S., Parasuraman, R., Båberg, F., Ögren, P.: Extending a UGV teleoperation FLC interface with wireless network connectivity information. In: 2015 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp. 4305–4312. IEEE (2015)
Dantu, K., Goyal, P., Sukhatme, G.S.: Relative bearing estimation from commodity radios. In: IEEE International Conference on Robotics and Automation, 2009. ICRA’09, pp. 3871–3877. IEEE (2009)
Das, A.K., Fierro, R., Kumar, V., Ostrowski, J.P., Spletzer, J., Taylor, C.J.: A vision-based formation control framework. IEEE Trans. Robot. Autom. 18(5), 813–825 (2002)
Dimarogonas, D.V., Kyriakopoulos, K.J.: On the rendezvous problem for multiple nonholonomic agents. IEEE Trans. Autom. Control 52(5), 916–922 (2007)
Feng, Z., Sun, C., Hu, G.: Robust connectivity preserving rendezvous of multi-robot systems under unknown dynamics and disturbances. IEEE Trans. Control Netw. Syst. PP(99), 1–1 (2016)
Ghaffarkhah, A., Mostofi, Y.: Communication-aware motion planning in mobile networks. IEEE Trans. Autom. Control 56(10), 2478–2485 (2011)
Gil, S., Kumar, S., Katabi, D., Rus, D.: Adaptive communication in multi-robot systems using directionality of signal strength. Int. J. Robot. Res. 34(7), 946–968 (2015)
Gowal, S., Martinoli, A.: Bayesian rendezvous for distributed robotic systems. In: IEEE/RSJ 2011 International Conference on Intelligent Robots and Systems, pp. 2765–2771. IEEE (2011)
Jadbabaie, A., Lin, J., Morse, A.S.: Coordination of groups of mobile autonomous agents using nearest neighbor rules. In: Proceedings of the 41st IEEE Conference on Decision and Control, 2002, vol. 3, pp. 2953–2958, Dec 2002
Ji, M., Egerstedt, M.: Distributed coordination control of multi-agent systems while preserving connectedness. IEEE Trans. Robot. 23(4), 693–703 (2007)
Kriegleder, M., Digumarti, S.T., Oung, R., D’Andrea, R.: Rendezvous with bearing-only information and limited sensing range. In: 2015 IEEE International Conference on Robotics and Automation (ICRA), pp. 5941–5947. IEEE (2015)
La Salle, J.P.: The Stability of Dynamical Systems. SIAM (1976)
Li, B., Moridian, B., Mahmoudian, N.: Underwater multi-robot persistent area coverage mission planning. In: OCEANS 2016 MTS/IEEE Monterey, pp. 1–6, Sept 2016
Lin, J., Morse, A., Anderson, B.: The multi-agent rendezvous problem. an extended summary. In: Cooperative Control, pp. 257–289. Springer (2005)
Lindhé, M., Johansson, K.H., Bicchi, A.: An experimental study of exploiting multipath fading for robot communications. In: 3rd International Conference on Robotics Science and Systems, RSS 2007, 27–30 June 2007, Atlanta, GA, USA, pp. 289–296 (2008)
Lopez-Nicolas, G., Aranda, M., Mezouar, Y., Sagues, C.: Visual control for multirobot organized rendezvous. IEEE Trans. Syst. Man Cybern. Part B (Cybern.) 42(4), 1155–1168 (2012)
Lowrance, C.J., Lauf, A.P.: Direction of arrival estimation for robots using radio signal strength and mobility. In: 2016 13th Workshop on Positioning, Navigation and Communications (WPNC), pp. 1–6. IEEE (2016)
Mathew, N., Smith, S.L., Waslander, S.L.: A graph-based approach to multi-robot rendezvous for recharging in persistent tasks. In: 2013 IEEE International Conference on Robotics and Automation (ICRA), pp. 3497–3502. IEEE (2013)
Min, B.C., Matson, E.T., Jung, J.W.: Active antenna tracking system with directional antennas for enhancing wireless communication capabilities of a networked robotic system. J. Field Robot. 33(3), 391–406 (2016)
Min, B.C., Parasuraman, R., Lee, S., Jung, J.W., Matson, E.T.: A directional antenna based leader-follower relay system for end-to-end robot communications. Robot. Auton. Syst. 101, 57–73 (2018)
Montijano, E., Cristofalo, E., Zhou, D., Schwager, M., Sagüés, C.: Vision-based distributed formation control without an external positioning system. IEEE Trans. Robot. 32(2), 339–351 (2016)
Mostofi, Y., Malmirchegini, M., Ghaffarkhah, A.: Estimation of communication signal strength in robotic networks. In: 2010 IEEE International Conference on Robotics and Automation (ICRA), pp. 1946–1951. IEEE (2010)
Muralidharan, A., Mostofi, Y.: Statistics of the distance traveled until connectivity for unmanned vehicles (2018). arXiv:1808.02538
Owen-Hill, A., Parasuraman, R., Ferre, M.: Haptic teleoperation of mobile robots for augmentation of operator perception in environments with low-wireless signal. In: 2013 IEEE International Symposium on Safety, Security, and Rescue Robotics (SSRR), pp. 1–7. IEEE (2013)
Parasuraman, R., Fabry, T., Molinari, L., Kershaw, K., Castro, M.D., Masi, A., Ferre, M.: A multi-sensor RSS spatial sensing-based robust stochastic optimization algorithm for enhanced wireless tethering. Sensors 14(12), 23970–24003 (2014)
Park, H., Hutchinson, S.: An efficient algorithm for fault-tolerant rendezvous of multi-robot systems with controllable sensing range. In: 2016 IEEE International Conference on Robotics and Automation (ICRA 2016), pp. 358–365. IEEE (2016)
Pickem, D., Glotfelter, P., Wang, L., Mote, M., Ames, A., Feron, E., Egerstedt, M.: The robotarium: a remotely accessible swarm robotics research testbed. In: 2017 IEEE International Conference on Robotics and Automation (ICRA), pp. 1699–1706. IEEE (2017)
Rappaport, T.: Wireless Communications: Principles and Practice, 2nd edn. Prentice Hall PTR, Upper Saddle River, NJ, USA (2001)
Setter, T., Egerstedt, M.: Energy-constrained coordination of multi-robot teams. IEEE Trans. Control Syst. Technol. (2016)
Tang, Z.J., Huang, T.Z., Shao, J.L.: Consensus of multiagent systems with sampled information and noisy measurements. In: Discrete Dynamics in Nature and Society 2013 (2013)
Twigg, J.N., Fink, J.R., Yu, P., Sadler, B.M.: RSS gradient-assisted frontier exploration and radio source localization. In: 2012 IEEE International Conference on Robotics and Automation (ICRA), pp. 889–895. IEEE (2012)
Venkateswaran, S., Isaacs, J.T., Fregene, K., Ratmansky, R., Sadler, B.M., Hespanha, J.P., Madhow, U.: RF source-seeking by a micro aerial vehicle using rotation-based angle of arrival estimates. In: American Control Conference (ACC), 2013, pp. 2581–2587. IEEE (2013)
Wang, Y., Xie, Y., Cheng, L.: Leader-following consensus of multi-agent systems with dynamic leader and measurement noises. In: 2017 36th Chinese Control Conference (CCC), pp. 8379–8384. IEEE (2017)
Yu, J., LaValle, S.M., Liberzon, D.: Rendezvous without coordinates. IEEE Trans. Autom. Control 57(2), 421–434 (2012)
Zavlanos, M., Egerstedt, M., Pappas, G.: Graph theoretic connectivity control of mobile robot networks. Proc. IEEE 99(9), 1525–1540 (2011)
Zhao, S., Zheng, R.: Flexible bearing-only rendezvous control of mobile robots. In: 2017 36th Chinese Control Conference (CCC), pp. 8051–8056. IEEE (2017)
Zheng, R., Sun, D.: Rendezvous of unicycles: a bearings-only and perimeter shortening approach. Syst. Control Lett. 62(5), 401–407 (2013)
Zheng, R., Sun, D.: Multirobot rendezvous with bearing-only or range-only measurements. Robot. Biomim. 1(1), 4 (2014)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Parasuraman, R., Min, BC. (2019). Consensus Control of Distributed Robots Using Direction of Arrival of Wireless Signals. In: Correll, N., Schwager, M., Otte, M. (eds) Distributed Autonomous Robotic Systems. Springer Proceedings in Advanced Robotics, vol 9. Springer, Cham. https://doi.org/10.1007/978-3-030-05816-6_2
Download citation
DOI: https://doi.org/10.1007/978-3-030-05816-6_2
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-05815-9
Online ISBN: 978-3-030-05816-6
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)