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3D Path Planning for Multiple UAVs for Maximum Information Collection

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Abstract

This paper addresses the problem of path planning for multiple UAVs. The paths are planned to maximize collected amount of information from Desired Regions (DR) while avoiding Forbidden Regions (FR) violation and reaching the destination. The approach extends prior study for multiple UAVs by considering 3D environment constraints. The path planning problem is studied as an optimization problem. The problem has been solved by a Genetic Algorithm (GA) with the proposal of novel evolutionary operators. The initial populations have been generated from a seed-path for each UAV. The seed-paths have been obtained both by utilizing the Pattern Search method and solving the multiple-Traveling Salesman Problem (mTSP). Utilizing the mTSP solves both the visiting sequences of DRs and the assignment problem of “which DR should be visited by which UAV”. It should be emphasized that all of the paths in population in any generation of the GA have been constructed using the dynamical mathematical model of an UAV equipped with the autopilot and guidance algorithms. Simulations are realized in the MATLAB/Simulink environment. The path planning algorithm has been tested with different scenarios, and the results are presented in Section 6. Although there are previous studies in this field, this paper focuses on maximizing the collected information instead of minimizing the total mission time. Even though, a direct comparison of our results with those in the literature is not possible, it has been observed that the proposed methodology generates satisfactory and intuitively expected solutions.

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References

  1. Alain Fournier, D.F., Carpenter, L.: Computer rendering of stochastic models. Commun. ACM 25(6), 371–384 (1982)

    Article  Google Scholar 

  2. Audet, C., Dennis Jr., J.E.: Analysis of generalized pattern searches. SIAM J. Optim. 13(3), 889–903 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  3. Barraquand, J., Latombe, J.C.: Robot motion planning: a distributed representation approach. Int. J. Robot. Res. 10, 628–649 (1991)

    Article  Google Scholar 

  4. Bektaş, T.: The multiple traveling salesman problem: an overview of formulations and solution procedures. Omega 34, 209–219 (2006)

    Article  Google Scholar 

  5. Besada-Portas, E., Torre, L., Cruz, J.: Evolutionary trajectory planner for multiple UAVs in realistic scenarios. IEEE Trans. Robot. 26(4), 619–634 (2010)

    Article  Google Scholar 

  6. Burl, J.B.: Linear Optimal Control: H(2) and H (Infinity) Methods. Addison-Wesley Longman Publishing Co., Inc., Boston (1998)

    Google Scholar 

  7. Ergezer, H., Leblebicioğlu, K.: Path planning for UAVs for maximum information collection using evolutionary computation. IEEE Trans. Aerosp. Electron. Syst. 49(1), 502–520 (2013)

    Article  Google Scholar 

  8. Göktoğan, A.H., Sukkarieh, S., et al.: Airborne vision sensor detection performance simulation. In: SimTecT’05, Simulation Conference and Exhibition. Sydney, Australia (2005)

  9. Hasircioglu, I., Topcuoglu, H.R., Ermis, M.: 3-D path planning for the navigation of unmanned aerial vehicles by using evolutionary algorithms. In: Proc. Genet. Evol. Comput. Conf., pp. 1499–1506 (2008)

  10. Hoffmann, G.M., Tomlin, C.J.: Mobile sensor network control using mutual information methods and particle filters. IEEE Trans. Autom. Control 55(1), 32–47 (2010)

    Article  MathSciNet  Google Scholar 

  11. Hoffmann, G.M., Waslander, S.L., Tomlin, C.J.: Distributed cooperative search using information-theoretic costs for particle filters, with quadrotor applications. In: Proceedings of the AIAA Guidance, Navigation, and Control Conference, pp. 21–24. Keystone (2006)

  12. Honeywell Technology Center. Application of multivariable control theory to aircraft control laws. Final Report: Multivariable Control Design Guidelines, ser. AD-a315 259. Honeywell Incorporated minneapolis mn (1996)

  13. Kavraki, L.E., Latombe, P., Overmars, M.: Probabilistic roadmaps for path planning in high-dimensional configuration spaces. IEEE Trans. Robot. Autom. 12, 566–580 (1996)

    Article  Google Scholar 

  14. Klesh, A.T., Kabamba, P.T., Girard, A.R.: Path planning for cooperative time-optimal information collection. In: 2008 American Control Conference, pp. 1991–1996. Seattle (2008)

  15. Koditschek, D.: Exact robot navigation by means of potential functions: some topological considerations. In: IEEE International Conference on Robotics and Automation, pp. 1–6 (1987)

  16. Kwag, Y., Kang, J.: Obstacle awareness and collision avoidance radar sensor system for low-altitude flying smart UAV. Digit. Avionics Syst. Conf. 2, 12.D.2–121-10 (2004)

    Google Scholar 

  17. Latombe, J.C.: Robot Motion Planning. Kluwer Academic Press (1990)

  18. LaValle, S.M., Kuffner, J.J.: Randomized kinodynamic planning. Proc. IEEE. Int. Conf. Robot. Autom. 1, 473–479 (1999)

    Google Scholar 

  19. Mittal, S., Deb, K.: Three-dimensional offline path planning for UAVs using multiobjective evolutionary algorithms. In: Proc. IEEE Congr. Evol. Comput., vol. 7, pp. 3195–3202 (2007)

  20. Nikolos, I.K., Tsourvelouds, N.C.: Path planning for cooperating unmanned vehicles over 3-D terrain. Inf. Control Autom. Robot. 24, 153–168 (2009)

    Article  Google Scholar 

  21. Nikolos, I.K., Valavanis, K.P., Tsourveloudis, N.C., Kostaras, A.N.: Evolutionary algorithm based offline/ online path planner for UAV navigation. IEEE Trans. Syst. Man Cybern. B Cybern. 33(6), 898–912 (2003)

    Article  Google Scholar 

  22. Pehlivanoglu, Y.V., Baysal, O., Hacioglu, A.: Vibrational genetic algorithm based path planner for autonomous UAV in spatial data based environments. In: Proc. 3rd Int. Conf. Recent Adv. Space Technol., vol. 7, pp. 573–578 (2007)

  23. Pitre, R.R., Li, X.R., Delbalzo, R.: UAV route planning for joint search and track missions- an information-value approach. IEEE Trans. Aerosp. Electron. Syst. 48(3), 2251–2565 (2012)

    Article  Google Scholar 

  24. Schwartz, J.T., Sharir, M.: On the piano mover’s problem: I. The case of a two-dimensional rigid polygonal body moving admits polygonal barriers. Commun. Pur. Appl. Math. 36, 345–398 (1983)

    Article  MATH  MathSciNet  Google Scholar 

  25. Schwartz, J.T., Sharir, M.: On the piano mover’s problem: II. General techniques for computing topological properties of real algebraic manifolds. Adv. Appl. Math. 4, 51–96 (1983). Academic Press

    Article  MathSciNet  Google Scholar 

  26. Schwartz, J.T., Sharir, M.: On the piano mover’s problem: III. Coordinating the motion of several. Independent bodies: the special case of circular bodies. Plan. Geom. Complexity Robot Motion (1987)

  27. Szczerba, R.J., Galkowski, P., Glickstein, I., Ternullo, N.: Robust algorithm for real-time route planning. IEEE Trans. Aerosp. Electron. Syst. 36(3), 869–878 (2000)

    Article  Google Scholar 

  28. Zhang, R., Zheng, C., Yan, P.: Route planning for unmanned air vehicles with multiple missions using an evolutionary algorithm. In: Proc. IEEE 3rd Int. Conf. Nat. Comput., pp. 1499–1506 (2007)

  29. Zheng, C., Li, L., Xu, F., Sun, F., Ding, M.: Evolutionary route planner for unmanned air vehicles. IEEE Trans. Robot. 21(4), 609–620 (2005)

    Article  Google Scholar 

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Correspondence to Halit Ergezer.

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Ergezer, H., Leblebicioğlu, K. 3D Path Planning for Multiple UAVs for Maximum Information Collection. J Intell Robot Syst 73, 737–762 (2014). https://doi.org/10.1007/s10846-013-9895-6

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