Abstract
This chapter addresses a sweep coverage problem of multi-agent systems with general network topologies. To deal with environmental uncertainties, we present discrete-time sweep coverage algorithms to guarantee the complete coverage of the given region by swee** in parallel with workload partition. Moreover, the error between actual coverage time and the optimal time is estimated with the aid of continuous time results. Finally, we give a counter-example to show that more inter-agent communication links may yield slower convergent rate.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Ren, W., Beard, R.: Distributed Consensus in Multi-vehicle Cooperative Control. Springer, London (2008)
Zhang, H., Zhai, C., Chen, Z.: A general alignment repulsion algorithm for flocking of multi-agent systems. IEEE Trans. Autom. Contr. 56(2), 430–435 (2011)
Hong, Y., Hu, J., Gao, L.: Tracking control for multi-agent consensus with an active leader and variable topology. Automatica 42(7), 1177–1182 (2006)
Hu, J., Feng, G.: Distributed tracking control of leader-follower multi-agent systems under noisy measurement. Automatica 46(8), 1382–1387 (2010)
Howard, A., Parker, L.E., Sukhatme, G.: Experiments with a large heterogeneous mobile robot team: Exploration, map**, deployment and detection. Int. J. Robot. Res. 25(5–6), 431–447 (2006)
Renzaglia, A., Doitsidis, L., Martinelli, A., Kosmatopoulos, E.: Adaptive-based distributed cooperative multi-robot coverage. In: Proceedings of American Control Conference, pp. 486–473. San Francisco (2011)
Gage, D.W.: Command control for many-robot systems. In: Proceedings of the 19th Annual AUVS Technical Symposium, pp. 22–24. Huntsville, Alabama (1992)
Shi, G., Hong, Y.: Global target aggregation and state agreement of nonlinear multi-agent systems with switching topologies. Automatica 45(5), 1165–1175 (2009)
Cortés, J., MartÃnez, S., Karatas, T., Bullo, F.: Coverage control for mobile sensing network. IEEE Trans. Robot. Autom. 20(2), 243–255 (2004)
Du, Q., Faber, V., Gunzburger, M.: Centroidal Voronoi tesseuations: applications and algorithms. SIAM Rev. 41(4), 637–676 (1999)
Cheng, T.M., Savkin, A.V.: Decentralized coordinated control of a vehicle network for deployment in sweep coverage. In: Proceedings of the IEEE International Conference on Control and Automation, pp. 275–279. Christchurch, New Zealand (2009)
Zhai, C., Hong, Y.: Decentralized sweep coverage algorithm for uncertain region of multi-agent systems. In: Proceedings of American Control Conference. Montréal, Canada (2012)
Horn, R.A., Johnson, C.R.: Matrix Analysis. Cambridge University Press (1987)
Gear, C.W.: Numerical Initial Value Problems for Ordinary Differential Equations. Prentice-Hall, Englewood Cliffs (1971)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2021 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Zhai, C., Zhang, HT., **ao, G. (2021). Cooperative Sweep Coverage Algorithm of Discrete Time Multi-agent Systems. In: Cooperative Coverage Control of Multi-Agent Systems and its Applications. Studies in Systems, Decision and Control, vol 408 . Springer, Singapore. https://doi.org/10.1007/978-981-16-7625-3_6
Download citation
DOI: https://doi.org/10.1007/978-981-16-7625-3_6
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-16-7624-6
Online ISBN: 978-981-16-7625-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)