A geometric approach to manipulator path planning in 3D space in the presence of obstacles

The paper presents a geometric method for collision-free manipulator path planning in 3D Euclidean space with polyhedral obstacles. It ensures that none of the links nor the manipulator tip collide with the objects. The method is computationally very cheap and it does not require intensive off-line preprocessing. Hence, it is real-time applicable if the information about obstacles positions and shapes is obtained from a higher control level. The trajectories generated lie within the reachable workspace. The method is implemented on a VAX 11/750 computer and the simulation results are included.

[1]  Jean-Claude Latombe,et al.  Constraint reformulation in a hierarchical path planner , 1990, Proceedings., IEEE International Conference on Robotics and Automation.

[2]  Ming C. Lin,et al.  An opportunistic global path planner , 1990, Proceedings., IEEE International Conference on Robotics and Automation.

[3]  Tadashi Nagata,et al.  Multirobot plan generation in a continuous domain: planning by use of plan graph and avoiding collisions among robots , 1988, IEEE J. Robotics Autom..

[4]  Dale B. Cherchas,et al.  An iterative method for generating kinematically feasible interference-free robot trajectories , 1989, Robotica.

[5]  Vladimir J. Lumelsky Effect of kinematics on motion planning for planar robot arms moving amidst unknown obstacles , 1987, IEEE J. Robotics Autom..

[6]  Miomir Vukobratović,et al.  Contribution to Control of Redundant Robotic Manipulators in an Environment with Obstacles , 1986 .

[7]  Rodney A. Brooks,et al.  Natural decomposition of free space for path planning , 1985, Proceedings. 1985 IEEE International Conference on Robotics and Automation.

[8]  Kang G. Shin,et al.  A probabilistic approach to collision-free robot path planning , 1988, Proceedings. 1988 IEEE International Conference on Robotics and Automation.

[9]  Bum Hee Lee,et al.  Collision-Free Motion Planning of Two Robots , 1987, IEEE Transactions on Systems, Man, and Cybernetics.

[10]  Mathukumalli Vidyasagar,et al.  Optimal trajectory planning for planar n-link revolute manipulators in the presence of obstacles , 1988, Proceedings. 1988 IEEE International Conference on Robotics and Automation.

[11]  A. A. Maciejewski,et al.  Obstacle Avoidance , 2005 .

[12]  B. Faverjon,et al.  A local based approach for path planning of manipulators with a high number of degrees of freedom , 1987, Proceedings. 1987 IEEE International Conference on Robotics and Automation.

[13]  Elmer G. Gilbert,et al.  Distance functions and their application to robot path planning in the presence of obstacles , 1985, IEEE J. Robotics Autom..

[14]  Chandrajit L. Bajaj,et al.  Generalized Unfoldings for Shortest Paths , 1988, Int. J. Robotics Res..

[15]  Tomás Lozano-Pérez,et al.  Automatic Planning of Manipulator Transfer Movements , 1981, IEEE Transactions on Systems, Man, and Cybernetics.

[16]  Gregory S. Chirikjian,et al.  An obstacle avoidance algorithm for hyper-redundant manipulators , 1990, Proceedings., IEEE International Conference on Robotics and Automation.

[17]  Steven Dubowsky,et al.  Global time optimal motions of robotic manipulators in the presence of obstacles , 1988, Proceedings. 1988 IEEE International Conference on Robotics and Automation.

[18]  John W. Roach,et al.  Coordinating the motions of robot arms in a common workspace , 1987, IEEE J. Robotics Autom..

[19]  E. Freund,et al.  Real-Time Pathfinding in Multirobot Systems Including Obstacle Avoidance , 1988, Int. J. Robotics Res..

[20]  R. Paul Robot manipulators : mathematics, programming, and control : the computer control of robot manipulators , 1981 .

[21]  John Baillieul,et al.  Avoiding obstacles and resolving kinematic redundancy , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[22]  Oussama Khatib,et al.  Real-Time Obstacle Avoidance for Manipulators and Mobile Robots , 1986 .

[23]  King-Sun Fu,et al.  A hierarchical orthogonal space approach to three-dimensional path planning , 1986, IEEE J. Robotics Autom..