Abstract
Collision-free path planning for an industrial robot in configuration space requires mapping obstacles from robot's workspace into its configuration space. In this paper, an approach to real-time collision-free path planning for robots in configuration space is presented. Obstacle mapping is carried out by fundamental obstacles defined in the workspace and their images in the configuration space. In order to avoid dealing with unimportant parts of the configuration space that do not affect searching a collision-free path between starting and goal configurations, we construct a free subspace by slice configuration obstacles. In this free subspace, the collision-free path is determined by theA * algorithm. Finally, graphical simulations show the effectiveness of the proposed approach.
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References
Brady Met al. Robot Motion: Planning and Control. Cambridge, MA: MIT-Press, 1982, Ch. 1, 13.
Brooks R A. Solving the find-path problem by good representation of free space. IEEE Trans Sys, Man and Cybern, 1983, SMC-13: 190–197.
Canny J, Donald B. Simplified Voronoi diagrams. In: Proc of the Third Annual Symposium on Computational Geometry, Ontario, June 1987: 153–161.
Denavit J, Hartenberg R. A kinematic notation for low-pair mechanisms based on matrices. ASME J Applied Mechanics, 1955, 22: 215–221.
Faverjon B. Obstacle avoidance using an octree in the configuration space of a manipulator. In: Proc IEEE Int'l Conf Robotics, Atlanta, March 1984: 504–512.
Foley J D, van Dam A. Fundamentals of interactive computer graphics. Reading, Addison-Wesly: Ch. 11, 1981: 432–439.
Hart P E, Nilsson N J, Raphad B. A formal basis for the heuristic determination of minimum cost paths. IEEE Trans Syst Sci Cybern, 1968, SSC-4(2): 100–107.
Hasegawa T. Collision avoidance using characterized description of free space. In: Proc '85 ICAR (Tokyo), 1985: 69–76.
John C, Kornel F E. Manipulator collision avoidance by dynamic programming. In: 16th NAMRC North American Manufacturing Res Conf, Univ of Illinois, Urbana, USA, May 1988: 328–335.
Li W, Jaschek H, Wloka D. Modifizierung des Roberts' algorithmus zur graphischen darstellung von robotern. Robotersysteme 6, 1990: 76–81.
Li W. Automatische bestimmung kollisionsfreier bewegungsbahnen für industrieroboter. Robotersysteme 6, 1990: 218–244.
Li W. Graphical simulation and collision avoidance of robots (In German). Wiesbaden: Vieweg-Verlag, Germany, 1992.
Li W. Schnelle abbildung von hindernissen in den konfigurationsraum. Robotersysteme 7, 1991: 148–154.
Li W. Graphische konstruktion und simulation von robotern. Konstruktion 44, 1992: 113–117.
Li W, Zhang B. Solving the robotic ‘pick-and-place’ pathfind problem. ASME Manufacturing Review, 1993, 6(2): 114–128.
Lozano-Perez T. Automatic planning of manipulator transfer movements. IEEE Trans Sys Man Cybern, 1981, SMC-11: 681–698.
Lozano-Perez T. A simple motion-planning algorithm for general robot manipulators. IEEE J Robotics and Automation, 1987, RA-3: 224–238.
Luh J Y S, Campbell C E. Minimum distance collision-free path planning for industrial robots with a prismatic joint. IEEE Trans Automatic Control, 1984, AC-29(2): 674–680.
Lumelsky V. Effect of kinematics on motion planning for planar robot arms moving amidst unknown obstacles. IEEE J Robotics and Automation, 1987, RA-3: 207–223.
Waren C W, Danos J C, Mooring G W. An approach to manipulator path planning. Int'l J Robotics Res, 1989, 8(5): 87–95.
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This research was in part funded by Chinese Education Committee and was performed at the Lehrstuhl für Systemtheorie der Elektrotechnik, University of Saarland, Germany.
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Li, W., Zhang, B. & Jaschek, H. Real-time collision-free path planning for robots in configuration space. J. of Compt. Sci. & Technol. 9, 37–52 (1994). https://doi.org/10.1007/BF02939485
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DOI: https://doi.org/10.1007/BF02939485