Grasping Force Optimization for Whole Hand Grasp

In tasks of grasping and manipulation, the hand sometimes uses not only fingertips but also fingers' inner links and the palm to achieve more robust grasp. This kind of grasp is called whole hand grasp, or power grasp. One property of whole hand grasp is that the hand may not be able to generate grasping forces in any directions, so previous fingertip grasping analysis is no longer suitable for whole hand grasp. In this paper, concepts of active force and passive force are introduced. With these concepts, the contact force space is decomposed into four orthogonal subspaces. Considering the roles of both active force and passive force, a new cost index is proposed for the whole hand grasping force optimization, which is then reformulated into a convex optimization problem involving LMIs. Finally, numerical example and simulation results verify the validity and performance of our formulation of the problem with that new proposed cost index

[1]  Tsuneo Yoshikawa,et al.  Dynamics and Stability in Coordination of Multiple Robotic Mechanisms , 1989, Int. J. Robotics Res..

[2]  L. J. Leifer,et al.  Automatic grasping: An optimization approach , 1987, IEEE Transactions on Systems, Man, and Cybernetics.

[3]  Zhongwei Jiang,et al.  Mechanics of hybrid active/passive-closure grasps , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[4]  Toru Omata,et al.  Fingertip position planning for a multifingered hand , 1990, EEE International Workshop on Intelligent Robots and Systems, Towards a New Frontier of Applications.

[5]  Toru Omata.  Rigid body analysis of power grasps: bounds of the indeterminate grasp force , 2001, Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No.01CH37164).

[6]  Guanfeng Liu,et al.  Real-time grasping-force optimization for multifingered manipulation: theory and experiments , 2004, IEEE/ASME Transactions on Mechatronics.

[7]  Yunhui Liu,et al.  Force passivity in fixturing and grasping , 2003, 2003 IEEE International Conference on Robotics and Automation (Cat. No.03CH37422).

[8]  Antonio Bicchi,et al.  On the problem of decomposing grasp and manipulation forces in multiple whole-limb manipulation , 1994, Robotics Auton. Syst..

[9]  John B. Moore,et al.  Quadratically convergent algorithms for optimal dextrous hand grasping , 2002, IEEE Trans. Robotics Autom..

[10]  Bernard Roth,et al.  Analysis of Multifingered Hands , 1986 .

[11]  Stephen P. Boyd,et al.  Determinant Maximization with Linear Matrix Inequality Constraints , 1998, SIAM J. Matrix Anal. Appl..

[12]  David J. Montana,et al.  The Kinematics of Contact and Grasp , 1988, Int. J. Robotics Res..

[13]  Richard M. Murray,et al.  A Mathematical Introduction to Robotic Manipulation , 1994 .

[14]  Tsuneo Yoshikawa,et al.  Optimization of robot hand power grasps , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).

[15]  David E. Orin,et al.  Efficient algorithm for optimal force distribution-the compact-dual LP method , 1990, IEEE Trans. Robotics Autom..

[16]  Yong Yu,et al.  Optimization of Robot Hand Power Grasps , 1999 .

[17]  Hideki Hashimoto,et al.  Dextrous hand grasping force optimization , 1996, IEEE Trans. Robotics Autom..

[18]  Tsuneo Yoshikawa.  Passive and Active Closures by Constraining Mechanisms , 1999 .

[19]  John B. Moore,et al.  Dikin-Type Algorithms for Dextrous Grasping Force Optimization , 1998, Int. J. Robotics Res..

[20]  Yuru Zhang,et al.  Classification of grasps by robot hands , 2001, IEEE Trans. Syst. Man Cybern. Part B.

[21]  Jeffrey C. Trinkle,et al.  Grasp analysis as linear matrix inequality problems , 2000, IEEE Trans. Robotics Autom..

[22]  P. Mercorelli,et al.  On the geometric control of internal forces in power grasps , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.