Analysis on Stable Grasping based on Three-dimensional Acceleration Convex Polytope for Multi-fingered Robot

3차원 Acceleration Convex Polytope를 기반으로 한 로봇 손의 안정한 파지 분석

  • 장명언 (국방과학연구소) ;
  • 이지홍 (충남대학교 BK21 메카트로닉스사업단)
  • Published : 2009.01.01


This article describes the analysis of stable grasping for multi-fingered robot. An analysis method of stable grasping, which is based on the three-dimensional acceleration convex polytope, is proposed. This method is derived from combining dynamic equations governing object motion and robot motion, force relationship and acceleration relationship between robot fingers and object's gravity center through contact condition, and constraint equations for satisfying no-slip conditions at every contact points. After mapping no-slip condition to torque space, we derived intersected region of given torque bounds and the mapped region in torque space so that the intersected region in torque space guarantees no excessive torque as well as no-slip at the contact points. The intersected region in torque space is mapped to an acceleration convex polytope corresponding to the maximum acceleration boundaries which can be exerted by the robot fingers under the given individual bounds of each joints torque and without causing slip at the contacts. As will be shown through the analysis and examples, the stable grasping depends on the joint driving torque limits, the posture and the mass of robot fingers, the configuration and the mass of an object, the grasp position, the friction coefficients between the object surface and finger end-effectors.


  1. M. R Cutkosky, "On Grasp Choice, Grasp Models, and the Design of Hands for Manufacturing Tasks," Trans. On Robotics andAutomation, vol. 5, no. 3, June 1989
  2. Y Funahashi, T. Yamada, M. Tate, and Y Suzuki, "Grasp Stability Analysis Considering the Curvatures at Contact Points," Froc. Of the 1996 IEEE Int. Con! on Robotics and Automation, 1996
  3. T. Yamada, T. Koishiktrra, Y Mizuno, N. Mimura, and Y Funahashi, "Stability Analysis of3D Grasps by a Multifingered Hand," Froc. of the 2001 IEEE Int. Con on Robotics &Automation, 2001
  4. M.Kook, M. lang, and l. Lee, "Grasp Stability Analysis in DualSpace and Optimal Grasp Planning for Two-Fingered Robots in2-D," Journal ofConto!, Automation and Systems Engineering,vol. 12, no. 11, pp. 1102-1110, Nov. 2006
  5. T. Yamada, T. 0000, T. Yamamoto, N. Mirnura, and YFunahashi," Grasp Stability Analysis of Two Objects in Two Dimensions," Proc. of the 2005 IEEE Int. Con on Robotics &Automation, 2005
  6. B. Kim, B. Yi, S. Oh, and I. Suh, "Optimal Grasp Planning of Object Based on Weighted Composite Grasp Index," Journal of Contol, Automation and Systems Engineering, vol. 6, no. 11, 2000
  7. D. Montana, "Contact Stability for Two-Fingered Grasps," IEEETrans. On Robotics & Automation, 1992
  8. Y. Nakamura, Advanced Robotics Redundancy and optimization,Addison-Wesley Publishing Company. 1991
  9. F. Lee, 1. Lee, and B. Jeon, "Analysis of Acceleration Bounds and Mobility for Mulyiple Robot Systems Based on Null Space Anaysis Method," Journal of Control, Automation, and Systems Engineering, vol. 12, no. 5, pp. 497-504. 2006

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