Abstract
This paper studies the UAV swarm energy optimization problem. The energy consumption is critical for the UAV swarm, which limited the operating time of the whole system. Cooperative relaying could increase energy efficiency (EE) in UAV swarm communications. Due to UAV swarm’s high dynamism on outside environment and its own inside topology, the central optimization approach may bring extremely high complexity and large control cost. We solve the UAV swarm energy optimization problem by using game theory and distributed learning algorithm. First, we propose a distributed optimal EE UAV relay game model, and prove that the proposed game is an exact potential game. Second, we design a distributed UAV relay decision algorithm to obtain the optimal solution to the UAV swarm energy optimization problem. Finally, simulation results verify the theoretic analysis and show that the proposed approach could achieve optimal EE.



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Jiang, B., Bishop, A. N., Anderson, B. D., & Drake, S. P. (2015). Optimal path planning and sensor placement for mobile target detection. Automatica, 60, 127–139.
Jadaliha, M., & Choi, J. (2013). Environmental monitoring using autonomous aquatic robots: Sampling algorithms and experiments. IEEE Transactions on Control Systems Technology, 21, 899–905.
La, H. M., Sheng, W., & Chen, J. (2015). Cooperative and active sensing in mobile sensor networks for scalar field mapping. IEEE Transactions on Systems, Man, and Cybernetics, 45, 1–12.
La, H. M., & Sheng, W. (2013). Distributed sensor fusion for scalar field mapping using mobile sensor networks. IEEE Transactions on Cybernetics, 43, 766–778.
Franchi, A., Secchi, C., Ryll, M., Bulthoff, H. H., & Giordano, P. R. (2012). Shared control: Balancing autonomy and human assistance with a group of quadrotor UAVs. IEEE Robotics & Automation Magazine, 19(3), 57–68.
Shin, H. S., & Gasco, P. S. (2014). UAV swarms: Decision-making paradigms. Encyclopedia of Aerospace Engineering. John Wiley & Sons, Ltd. https://doi.org/10.1002/9780470686652.eae273.
Purohit, A., Sun, Z., & Zhang, P. (2013). Sugarmap: Location-less coverage for micro-aerial sensing swarms. In Proceedings of ACM international conference on information processing in sensor networks, pp. 253–264.
Wang, H., Huo, D., & Alidaee, B. (2014). Position unmanned aerial vehicles in the mobile ad hoc network. Journal of Intelligent & Robotic Systems, 74(1/2), 455–464.
Burdakov, O., Doherty, P., Holmberg, K., & Olsson, P.-M. (2010). Optimal placement of UV-based communications relay nodes. Journal of Global Optimization, 48(4), 511–531.
Zhan, P., Yu, K., & Swindlehurst, A. (2011). Wireless relay communications with unmanned aerial vehicles: Performance and optimization. IEEE Transactions on Aerospace and Electronic Systems, 47(3), 2068–2085.
Ni, W., Collings, I. B., & Liu, R. P. (2013). Decentralized user-centric scheduling with low rate feedback for mobile small cells. IEEE Transactions on Wireless Communications, 12(12), 6106–6120.
Peng, L., Lipinski, D., & Mohseni, K. (2014). Dynamic data driven application system for plume estimation using UAVs. Journal of Intelligent & Robotic Systems, 74(1/2), 421–436.
Ono, F., Ochiai, H., & Miura, R. (2016). A wireless relay network based on unmanned aircraft system with rate optimization. IEEE Transactions on Wireless Communications, 15(11), 7699–7708.
Wu, Y. L., Zhang, B., Yang, S. S., Yi, X. D., & Yan, X. J. (2017). Energy-efficient joint communication-motion planning for relay-assisted wireless robot surveillance. In INFOCOM 2017.
Li, K., Ni, W., Wang, X., Liu, R. P., Kanhere, S. S., & Jha, S. (2016). Energy-efficient cooperative relaying for unmanned aerial vehicles. IEEE Transactions on Mobile Computing, 15(6), 1377–1386.
Fudenberg, D., & Levine, D. K. (1998). The theory of learning in games. Cambridge: The MIT Press.
Stuber, G. (2001). Principles of mobile communications (2nd ed.). Norwell, MA: Kluwer.
Marden, J., Arslan, G., & Shamma, J. (2009). Cooperative control and potential games. IEEE Transactions on Systems, Man, and Cybernetics, Part B, 39(6), 1393–1407.
Maskery, M., Krishnamurthy, V., & Zhao, Q. (2009). Decentralized dynamic spectrum access for cognitive radios: Cooperative design of a noncooperative game. IEEE Transactions on Communications, 57(2), 459–469.
Altman, E., Jimenez, T., Vicuna, N., & Marquez, R. (2008). Coordination games over collision channels. In Proceedings of WiOPT, pp. 523–527.
Zhong, W., Xu, Y., & Tianfield, H. (2011). Game-theoretic opportunistic spectrum sharing strategy selection for cognitive MIMO multiple access channels. IEEE Transactions on Signal Processing, 59(6), 2745–2759.
van Laarhoven, P. J. M., & Aarts, E. H. L. (1987). Simulated annealing: Theory and applications. Holland: Reidel.
Young, H. P. (1998). Individual strategy and social structure. Princeton, NJ: Princeton University Press.
Acknowledgments
The work is supported by the National Natural Science Foundation of China (No. 61702543, 61271254, 71501186 and 71401176), the Natural Science Foundation of Jiangsu Province of China (No. BK20141071, BK20140065), the 333-high-level talent training project of Jiangsu Province of China (No. BRA 2016542).
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Zhu, L., Yao, C. & Wang, L. Optimal Energy Efficiency Distributed Relay Decision in UAV Swarms. Wireless Pers Commun 102, 2997–3008 (2018). https://doi.org/10.1007/s11277-018-5321-5
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DOI: https://doi.org/10.1007/s11277-018-5321-5