Feasible path planning for fixed-wing UAVs using seventh order Bézier curves

Alves Neto A, Campos MFM (2009) A path planning algorithm for UAVs with limited climb angle. In: The 2009 IEEE/RSJ international xonference on intelligent robots and systems (IROS’09), St. Louis, USA

Alves Neto A, Campos MFM (2009) On the generation of feasible paths for aerial robots with limited climb angle. In: Proceedings of the IEEE international conference on robotics and automation (ICRA’09). Kobe, Japan

Alves Neto A, Macharet DG, Campos MFM (2010) Feasible RRT-based path planning using seventh order bézier curves. In: The 2010 IEEE/RSJ international conference on intelligent robots and systems (IROS’10). Taipei, Taiwan

Alves Neto A, Macharet DG, Campos MFM (2010) On the generation of trajectories for multiple UAVs in environments with obstacles. J Intell Robotic Syst 57(4):123–141

Bortoff S (2000) Path planning for UAVs. In: Proceedings of the American control conference, vol 1, Chicago, Illinois, USA, pp 364–368. doi:10.1109/ACC.2000.878915

Cheng P, Shen Z, Lavalle SM (2001) RRT-based trajectory design for autonomous automobiles and spacecraft. Arch Control Sci 11(3–4):167–194

Dogan A (2003) Probabilistic path planning for UAVs. In: Proceedings of 2nd AIAA unmanned unlimited systems, technologies, and operations—aerospace, land, and sea conference and workshop exhibition. San Diego, CA, USA

Farouki RT (1996) The elastic bending energy of Pythagorean hodograph curves. Comput Aided Geom Des 13:227–241

Farouki RT, Han CY (2006) Algorithms for spatial Pythagorean-hodograph curves. In: Klette R, Kozera R, Noakes L, Weickert J (eds) Geometric properties for incomplete data, Springer pp 43–58

Farouki RT, al Kandari M, Sakkalis T (2002) Hermite interpolation by rotation-invariant spatial Pythagorean-hodograph curves. Adv Comput Math 17:369–383

Farouki RT, Neff CA (1995) Hermite interpolation by Pythagorean hodograph quintics. Math Comput 64:1589–1609

Farouki RT, Sakkalis T (1990) Pythagorean hodographs. IBM J Res Dev 34(5):736–752

Gonçalves VM, Pimenta LCA, Maia CA, Dutra BCO, Pereira GAS (2010) Vector fields for robot navigation along time-varying curves in n-dimensions. Trans Robotics 26:647–659. doi:10.1109/TRO.2010.2053077

Griffiths S, Saunders J, Curtis A, Barber B, McLain T, Beard R (2006) Maximizing miniature aerial vehicles. IEEE Robotics Autom Mag 13(3):34–43. doi:10.1109/MRA.2006.1678137

Iscold P, Pereira G, Torres L (2010) Development of a hand-launched small UAV for ground reconnaissance. IEEE Trans Aerospace Electron Syst 6(1):335–348. doi:10.1109/TAES.2010.5417166

Kreyszig E (1991) Differential Geometry, vol 1. Dover Publications, New York

Kuwata Y, Richards A, Schouwenaars T, How JP (2005) Robust constrained receding horizon control for trajectory planning. In: Proceedings of the AIAA guidance, navigation and control conference

LaValle SM (2006) Planning algorithms. Cambridge University Press, Urbana

Nelson DR, Blake D, Timothy B, Mclain W, Beard RW (2006) Vector field path following for small unmanned air vehicles. IEEE Trans Control Syst Technol 48: 5788–5794

Sederberg TW (2007) Computer aided geometric design, chap. 2. Brigham Young University, Provo, Utah

Shanmugavel M, Tsourdos A, Zbikowski R, White BA (2007) 3D path planning for multiple UAVs using Pythagorean hodograph curves. In: Proceedings of the AIAA guidance, navigation and control conference and exhibit (AIAA-GNC). Hilton Head, South Carolina

Shanmugavel M, Tsourdos A, Zbikowski R, White BA, Rabbath CA, Lechevin N (2006) A solution to simultaneous arrival of multiple UAVs using Pythagorean hodograph curves. In: Proceedings of the IEEE American control conference (ACC), pp 2813–2818, Minneapolis, Minnesota, USA

Wzorek M, Doherty P (2006) Reconfigurable path planning for an autonomous unmanned aerial vehicle. In: International conference on hybrid information technology (ICHIT ’06), vol 2, pp 242–249