On manipulating polygonal objects with three 2-DOF robots in the plane

Addresses the problem of grasping and manipulating a polygonal object with three disc-shaped robots in the plane. These robots may be the fingertips of a gripper or mobile platforms. The proposed approach is based on the characterization of the range of possible object motions when two of the effectors are fixed and the third one is allowed to move in the plane with two degrees of freedom. This technique does not assume that contact is maintained during the execution of the grasping/manipulation task, nor does it rely on detailed (and a priori unverifiable) models of friction or contact dynamics, but it allows the construction of manipulation plans guaranteed to succeed under the weaker assumption that jamming does not occur during the task execution. The proposed approach is validated by simulation examples and preliminary experiments with Nomadic Scout robots.

[1]  C. Barus.  A treatise on the theory of screws , 1998 .

[2]  Christos H. Papadimitriou,et al.  Optimum Grip of a Polygon , 1987, Int. J. Robotics Res..

[3]  Matthew T. Mason,et al.  An exploration of sensorless manipulation , 1986, IEEE J. Robotics Autom..

[4]  Van-Duc Nguyen,et al.  Constructing force-closure grasps , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[5]  Matthew T. Mason,et al.  Parts orienting by push-aligning , 1995, Proceedings of 1995 IEEE International Conference on Robotics and Automation.

[6]  Joel W. Burdick,et al.  Mobility of Bodies in Contact{ii: How Forces Are Generated by Curvature Eeects? , 1994 .

[7]  Narayan Srinivasa,et al.  Algorithms for Constructing Immobilizing Fixtures and Grasps of Three-Dimensional Objects , 1997 .

[8]  J. D. Everett.  A Treatise on the Theory of Screws , 1901, Nature.

[9]  A. Blake,et al.  1-Parameter Two-Fingered Gripping Systems , 1996 .

[10]  Arthur C. Sanderson,et al.  Planning robotic manipulation strategies for workpieces that slide , 1988, IEEE J. Robotics Autom..

[11]  Kevin M. Lynch,et al.  Stable Pushing: Mechanics, Controllability, and Planning , 1995, Int. J. Robotics Res..

[12]  Attawith Sudsang,et al.  Grasping and In-Hand Manipulation: Geometry and Algorithms , 2000, Algorithmica.

[13]  Andrew Blake,et al.  Caging planar objects with a three-finger one-parameter gripper , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).

[14]  Jean Ponce,et al.  On grasping and manipulating polygonal objects with disc-shaped robots in the plane , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).

[15]  R. Ball.  A treatise on the theory of screws, by Sir Robert Stawell Ball. , .

[16]  O. Khatib,et al.  Real-Time Obstacle Avoidance for Manipulators and Mobile Robots , 1985, Proceedings. 1985 IEEE International Conference on Robotics and Automation.

[17]  Matthew T. Mason,et al.  Mechanics and Planning of Manipulator Pushing Operations , 1986 .

[18]  Joel W. Burdick,et al.  Mobility of bodies in contact. I. A 2nd-order mobility index for multiple-finger grasps , 1994, IEEE Trans. Robotics Autom..

[19]  Narayan Srinivasa,et al.  Grasping and in-hand manipulation: experiments with a reconfigurable gripper , 1997, Adv. Robotics.