Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 748974, 15 pages
http://dx.doi.org/10.1155/2014/748974
Research Article

A Virtual Motion Camouflage Approach for Cooperative Trajectory Planning of Multiple UCAVs

College of Mechatronic Engineering and Automation, National University of Defense Technology, Changsha, Hunan 410073, China

Received 22 August 2013; Revised 28 November 2013; Accepted 1 December 2013; Published 22 January 2014

Academic Editor: Xinjie Zhang

Copyright © 2014 Xueqiang Gu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. R. M. Murray, “Recent research in cooperative control of multivehicle systems,” Journal of Dynamic Systems, Measurement and Control, vol. 129, no. 5, pp. 571–583, 2007. View at Publisher · View at Google Scholar · View at Scopus
  2. M. Fu and J. Jiao, “A hybrid approach for coordinated formation control of multiple surface vessels,” Mathematical Problems in Engineering, vol. 2013, Article ID 794284, 8 pages, 2013. View at Publisher · View at Google Scholar
  3. J. T. Betts, “Survey of numerical methods for trajectory optimization,” Journal of Guidance, Control, and Dynamics, vol. 21, no. 2, pp. 193–207, 1998. View at Google Scholar · View at Scopus
  4. C. Goerzen, Z. Kong, and B. Mettler, “A survey of motion planning algorithms from the perspective of autonomous UAV guidance,” Journal of Intelligent and Robotic Systems, vol. 57, no. 1–4, pp. 65–100, 2010. View at Publisher · View at Google Scholar · View at Scopus
  5. J. F. Horn, E. M. Schmidt, B. R. Geiger, and M. P. DeAngelo, “Neural network-based trajectory optimization for unmanned aerial vehicles,” Journal of Guidance, Control, and Dynamics, vol. 35, no. 2, pp. 548–562, 2012. View at Publisher · View at Google Scholar · View at Scopus
  6. S. Karaman and E. Frazzoli, “Sampling-based algorithms for optimal motion planning,” The International Journal of Robotics Research, vol. 30, no. 7, pp. 846–894, 2011. View at Publisher · View at Google Scholar · View at Scopus
  7. P. Narayan, P. Meyer, and D. Campbell, “Embedding human expert cognition into autonomous UAS trajectory planning,” IEEE Transaction on Cybernetics, vol. 43, no. 2, pp. 530–543, 2013. View at Google Scholar
  8. Q. Gong, L. R. Lewis, and I. M. Ross, “Pseudospectral motion planning for autonomous vehicles,” Journal of Guidance, Control, and Dynamics, vol. 32, no. 3, pp. 1039–1045, 2009. View at Publisher · View at Google Scholar · View at Scopus
  9. H. Liu, S. Chen, L. Shen et al., “An integrated multi-criterion hp-Adaptive pseudospectral method for direct optimal control problems solving,” Mathematical Problems in Engineering, vol. 2012, Article ID 760890, 22 pages, 2012. View at Publisher · View at Google Scholar
  10. K. Yang, S. Sukkarieh, and Y. Kang, “Adaptive nonlinear model predictive path tracking control for a fixed-wing unmanned aerial vehicle,” in Proceedings of the AIAA Guidance, Navigation, and Control Conference and Exhibit, Chicago, Ill, USA, August 2009. View at Scopus
  11. O. A. Yakimenko, Y. Xu, and G. Basset, “Computing short-time aircraft maneuvers using direct methods,” in Proceedings of the AIAA Guidance, Navigation and Control Conference and Exhibit, Honolulu, Hawaii, USA, August 2008. View at Scopus
  12. D. Benson, A Gauss pseudospectral transcription for optimal control [Dissertation for the doctoral degree], Massachusettes Institute of Technology, Cambridge, Mass, USA, 2005.
  13. M. Soler, A. Olivares, and E. Staffetti, “Hybrid optimal control approach to commercial aircraft trajectory planning,” Journal of Guidance, Control, and Dynamics, vol. 33, no. 3, pp. 985–991, 2010. View at Publisher · View at Google Scholar · View at Scopus
  14. J. Li, H. An, H. Zhu et al., “Geometric pseudospectral method on SE(3) for rigid-body dynamics with application to aircraft,” Mathematical Problems in Engineering, vol. 2013, Article ID 595086, 16 pages, 2013. View at Publisher · View at Google Scholar
  15. A. Verma and J. L. Junkins, “Inverse dynamics approach for real-time determination of feasible aircraft reference trajectories,” in Proceedings of the 24th Atmospheric Flight Mechanics Conference, 1999.
  16. R. G. Drury, “Performance of NLP algorithms with inverse dynamics for near-real time trajectory generation,” in Proceedings of the AIAA Guidance, Navigation, and Control Conference, Portland, Ore, USA, 2011.
  17. F.-L. Lian, “Cooperative path planning of dynamical multi-agent systems using differential flatness approach,” International Journal of Control, Automation and Systems, vol. 6, no. 3, pp. 401–412, 2008. View at Google Scholar · View at Scopus
  18. A. Chamseddine, Y. Zhang, C. A. Rabbath et al., “Trajectory planning and peplanning strategies applied to a quadrotor unmanned aerial vehicle,” Journal of Guidance, Control, and Dynamics, vol. 35, no. 5, pp. 1667–1671, 2012. View at Google Scholar
  19. X. Gu, Y. Zhang, S. Chen et al., “Cooperative trajectory planning for multi-UCAV performing air-to-ground target attack missions,” Advanced Materials Research, vol. 718-720, pp. 1329–1334, 2013. View at Google Scholar
  20. X. Gu, Y. Zhang, J. Chen et al., “Real-time cooperative trajectory planning using differential flatness approach and B-splines,” Applied Mechanics and Materials, vol. 333-335, pp. 1338–1343, 2013. View at Google Scholar
  21. Y. Xu, “Analytical solutions to spacecraft formation-flying guidance using virtual motion camouflage,” Journal of Guidance, Control, and Dynamics, vol. 33, no. 5, pp. 1376–1386, 2010. View at Publisher · View at Google Scholar · View at Scopus
  22. Y. Xu and G. Basset, “Sequential virtual motion camouflage method for nonlinear constrained optimal trajectory control,” Automatica, vol. 48, no. 7, pp. 1273–1285, 2012. View at Google Scholar
  23. Y. Xu, “Virtual motion camouflage and suboptimal trajectory design,” in Proceedings of the AIAA Guidance, Navigation, and Control Conference, pp. 555–571, August 2007. View at Scopus
  24. Y. Xu and G. Basset, “Pre and post optimality checking of the virtual motion camouflage based nonlinear constrained subspace optimal control,” in Proceedings of the AIAA Guidance, Navigation, and Control Conference and Exhibit, Chicago, Ill, USA, August 2009. View at Scopus
  25. K. P. Bollino and L. R. Lewis, “Collision-free multi-UAV optimal path planning and cooperative control for tactical applications,” in Proceedings of the AIAA Guidance, Navigation and Control Conference and Exhibit, Honolulu, Hawaii, USA, August 2008. View at Scopus
  26. Y. Kuwata and J. P. How Sr., “Cooperative distributed robust trajectory optimization using receding horizon MILP,” IEEE Transactions on Control Systems Technology, vol. 19, no. 2, pp. 423–431, 2011. View at Publisher · View at Google Scholar · View at Scopus
  27. Y. Xu and G. Basset, “Virtual motion camouflage based phantom track generation through cooperative electronic combat air vehicles,” Automatica, vol. 46, no. 9, pp. 1454–1461, 2010. View at Publisher · View at Google Scholar · View at Scopus
  28. Y. Xu, M. Xin, and J. Wang, “Unmanned aerial vehicle formation flight via a hierarchical cooperative control approach,” in Proceedings of the AIAA Guidance, Navigation, and Control Conference, Portland, Ore, USA, 2011.
  29. T. W. McLain and R. W. Beard, “Coordination variables, coordination functions, and cooperative-timing missions,” Journal of Guidance, Control, and Dynamics, vol. 28, no. 1, pp. 150–161, 2005. View at Google Scholar · View at Scopus
  30. I. Kamlner, O. Yakimenko, V. Dobrokhodov et al., “Coordinated path following for time-critical missions of multiple UAVs via 1 adaptive output feedback controllers,” in Proceedings of the AIAA Guidance, Navigation, and Control Conference, pp. 915–948, August 2007. View at Scopus
  31. B. L. Stevens and F. L. Lewis, Aircraft Control and Simulation, John Wiley & Sons, New York, NY, USA, 2003.
  32. Y. Zhang, J. Chen, and L. Shen, “Hybrid hierarchical trajectory planning for a fixed-wing UCAV performing air-to-surface multi-target attack,” Journal of Systems Engineering and Electronics, vol. 23, no. 4, pp. 256–264, 2012. View at Google Scholar
  33. X. Gu, Y. Zhang, N. Wang et al., “Robust multi-objective optimization based on NSGA-II for UCAV weapon delivery,” in Proceedings of the 4th International Conference on Intelligent Human-Machine Systems and Cybernetics, 2012.
  34. L. P. R. Lewis, Rapid motion planning and autonomous obstacle avoidance for unmanned vehicles [M.S. thesis], Naval Postgraduate School, Monterey, Calif, USA, 2006.
  35. E. Besada-Portas, L. de la Torre, J. M. de la Cruz, and B. de Andrés-Toro, “Evolutionary trajectory planner for multiple UAVs in realistic scenarios,” IEEE Transactions on Robotics, vol. 26, no. 4, pp. 619–634, 2010. View at Publisher · View at Google Scholar · View at Scopus
  36. M. A. Hurni, P. Sekhavat, M. Karpenko, and I. M. Ross, “A pseudospectral optimal motion planner for autonomous unmanned vehicles,” in Proceedings of the American Control Conference (ACC '10), pp. 1591–1598, Baltimore, Md, USA, July 2010. View at Scopus
  37. Y. Wang, T. Wei, and X. Qu, “Study of multi-objective fuzzy optimization for path planning,” Chinese Journal of Aeronautics, vol. 25, no. 1, pp. 51–56, 2012. View at Publisher · View at Google Scholar · View at Scopus
  38. M. V. Srinivasan and M. Davey, “Strategies for active camouflage of motion,” Proceedings of the Royal Society B, vol. 259, no. 1354, pp. 19–25, 1995. View at Publisher · View at Google Scholar · View at Scopus
  39. M. Fliess, J. Levine, P. Martin, and P. Rouchon, “Flatness and defect of non-linear systems: introductory theory and examples,” International Journal of Control, vol. 61, no. 6, pp. 1327–1361, 1995. View at Google Scholar · View at Scopus
  40. K. Holmström, A. O. Göran, and M. M. Edvall, USer'S Guide For TOMLAB /SNOPT, Department of Mathematics and Physics, Mälardalen University, Västerås, Sweden, 2008.
  41. S. Chen, H. Liu, J. Chen et al., “Penetration trajectory planning based on radar tracking features for UAV,” Aircraft Engineering and Aerospace Technology, vol. 85, no. 1, pp. 62–71, 2013. View at Google Scholar
  42. I. M. Ross and Q. Gong, “Guess-free trajectory optimization,” in Proceedings of the AIAA/AAS Astrodynamics Specialist Conference and Exhibit, Honolulu, Hawaii, USA, August 2008. View at Scopus
  43. “Storm shadow UCAV performance,” 2001, http://www.aerospaceweb.org/design/ucav/main.shtml.