Abstract
This chapter addresses the cooperative mission and path-planning problem of multiple UAVs in the context of the vehicle-routing problem. Since the conventional vehicle-routing algorithms approximate their path to straight lines to reduce computational load, the physical constraints imposed on the vehicle are not to be taken into account. In order to mitigate this issue, this chapter describes a framework allowing integrated mission and path planning for coordinating UAVs using the Dubins theory based on the differential geometry concepts which can consider non-straight path segments. The main advantage of this approach is that the number of design parameters can be significantly reduced while providing the shortest, safe, and feasible path, which leads to a fast design process and more lightweight algorithms. In order to validate the integrated framework, cooperative mission and path-planning algorithms for two missions are developed: (1) road-network search route-planning patrolling every road segment of interest efficiently based on the optimization and approximation algorithm using nearest insertion and auction negotiation and (2) communication-relay route planning between a ground control station and the friendly fleet satisfying the constraints on the UAV speed and the avoidance of nonflying zones. Lastly, the performance of the proposed algorithms is examined via numerical simulations.
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References
A. Ahmadzadeh, G. Buchman, P. Cheng, A. Jadbabaie, J. Keller, V. Kumar, G. Pappas, Cooperative control of UAVs for search and coverage, in Conference on Unmanned Systems (SPIE, Bellingham, 2006)
D. Ahr, Contributions to multiple postmen problems. Ph.D. thesis, Heidelberg University, 2004
B. Alspach, Searching and sweeping graphs: a brief survey. Matematiche (Catania) 59, 5–37 (2006)
T. Bektas, The multiple traveling salesman problem: an overview of formulations and solution procedures. Int. J. Manag. Sci. 34(3), 209–219 (2006)
J. Bellingham, M. Tillerson, A. Richards, J. How, Multi-Task Allocation and Path Planning for Cooperating UAVs, Cooperative Control: Models, Applications and Algorithms (Kluwer, Dordrecht, 2003)
C. Cerasoli, N.J. Eatontown, An analysis of unmanned airborne vehicle relay coverage in urban environments, in Proceedings of MILCOM (IEEE, Piscataway, 2007)
P. Chandler, M. Pachter, D. Swaroop, J. Hewlett, S. Rasmussen, C. Schumacher, K. Nygard, Complexity in UAV cooperation control, in American Control Conference, Anchorage (American Control Conference, Evanston, 2002)
L.E. Dubins, On curves of minimal length with a constraint on average curvature, and with prescribed initial and terminal positions and tangents. Am. J. Math. 79(3), 497–516 (1957)
K. Easton, J. Burdick, A coverage algorithm for multi-robot boundary inspection, in IEEE International Conference on Robotics and Automation (IEEE, Piscataway, 2005)
A. Gibbons, Algorithmic Graph Theory (Cambridge University Press, Cambridge/New York, 1999)
J. Gross, J. Yellen, Handbook of Graph Theory (CRC, Boca Raton, 2003)
M. Hifi, M. Michrafy, A. Sbihi, A reactive local search-based algorithm for the multiple-choice multi-dimensional knapsack problem. Comput. Optim. Appl. 33, 271–285 (2006)
S. Kim, P. Silson, A. Tsourdos, M. Shanmugavel, Dubins path planning of multiple unmanned airborne vehicles for communication relay. Proc. IMechE G 225, 12–25 (2011)
I. Maza, A. Ollero, Multiple UAV cooperative searching operation using polygon area decomposition and efficient coverage algorithms, in Distributed Autonomous Robotic Systems 6, vol. 5 (Springer, Tokyo/New York, 2007), pp. 221–230
N. Nigam, I. Kroo, Persistent surveillance using multiple unmanned air vehicles, in Aerospace Conference, 2008 IEEE, Big Sky (IEEE, Piscataway, 2008)
H. Oh, S. Kim, A. Tsourdos, B. White, Cooperative road-network search planning of multiple UAVs using dubins paths, in AIAA Guidance, Navigation and Control Conference, Portland (AIAA, Reston, 2011a)
H. Oh, H. Shin, A. Tsourdos, B. White, P. Silson, Coordinated road network search for multiple UAVs using dubins path, in 1st CEAS Specialist Conference on Guidance, Navigation and Control, Munich (Springer, Berlin/Heidelberg, 2011b)
H. Oh, S. Kim, A. Tsourdos, B. White, Coordinated road-network search route planning by a team of UAVs. Int. J. Syst. Sci., (2012) In press
T. Parsons, Pursuit-evasion in a graph, in Theory and Applications of Graphs (Springer, Berlin, 1976)
N. Perrier, A. Langevin, J. Campbell, A survey of models and algorithms for winter road maintenance. Part IV: Vehicle Routing and Fleet Sizing for Plowing and Snow Disposal. Comput. Oper. Res. 34, 258–294 (2007)
M.F.J. Pinkney, D. Hampel, S. DiPierro, Unmanned aerial vehicle (uav) communications relay, in IEEE Military Communications Conference, 1996. MILCOM’96, Conference Proceedings (IEEE, Piscataway, 1996)
D. Rosenkrantz, R. Stearns, P. Lewis, An analysis of several heuristics for the traveling salesman problem. Fundam. Probl. Comput. 1, 45–69 (2009)
J. Royset, H. Sato, Route optimization for multiple searchers. Nav. Res. Logist. 57, 701–717 (2010)
J. Ryan, T. Bailey, J. Moore, W. Carlton, Reactive tabu search in unmanned aerial reconnaissance simulations. in 30th Conference on Winter Simulation, Washington, DC, 1998
T. Ralphs, L. Ladanyi, M. Guzelsoy, A. Mahajan, SYMPHONY 5.2.4 (2010), http://projects.coin-or.org/SYMPHONY
T. Samad, J. Bay, D. Godbole, Network-centric systems for military operations in urban terrain: the role of UAVs. Proc. IEEE 95(1), 92–107 (2007)
M. Shanmugavel, Path planning of multiple autonomous vehicles. Ph.D. thesis, Cranfield University, 2007
M. Shanmugavel, A. Tsourdos, B.A. White, R. Zbikowski, Differential geometric path planning of multiple UAVs. J. Dyn. Syst. Meas. Control 129, 620–632 (2007)
A. Tsourdos, B. White, M. Shanmugavel, Cooperative Path Planning of Unmanned Aerial Vehicles (Wiley, Chichester, 2010)
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Oh, H., Shin, HS., Kim, S., Tsourdos, A., White, B.A. (2015). Cooperative Mission and Path Planning for a Team of UAVs. In: Valavanis, K., Vachtsevanos, G. (eds) Handbook of Unmanned Aerial Vehicles. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9707-1_14
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DOI: https://doi.org/10.1007/978-90-481-9707-1_14
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