• CN:11-2187/TH
  • ISSN:0577-6686

›› 2010, Vol. 46 ›› Issue (23): 45-52.

• 论文 • 上一篇    下一篇

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多边形物体带摩擦抓取的最优规划算法

文双全;吴铁军   

  1. 浙江大学控制科学与工程学系
  • 发布日期:2010-12-05

Optimal Planning Algorithm for Polygonal Object Grasping with Frictional Contacts

WEN Shuangquan;WU Tiejun   

  1. Department of Control Science and Engineering, Zhejiang University
  • Published:2010-12-05

摘要: 多指机械手抓取物体时,需要选取手指和物体的接触位置,最大限度地抑制外来扰动,实现稳定抓取。基于此,考虑n指抓取任意多边形的情况,将各方向上多指手可平衡的最大外力螺旋作为优化指标,提出一种满足力封闭条件的初始抓取位置规划算法。经过仔细分析原始力螺旋集合的特点和优化指标在力螺旋空间的几何意义和物理意义,构造线性规划算法来求取给定初始抓取位置下改进抓取性能的最优方向。从初始位置出发,提出一种不断向最优方向改进抓取性能,最后收敛到最优抓取位置的迭代算法。计算实例表明,初始抓取位置规划算法能获得性能较优的初始抓取位置,同时由于最优抓取位置迭代算法每步均在最优方向上作改进,因此算法迭代步数少,运行效率高,计算结果达到或接近全局最优指标。

关键词: 多指手, 力封闭, 力螺旋空间, 最优抓取规划

Abstract: When grasping an object with a multi-fingered robot hand, contact points on the object should be arranged deliberately to achieve maximum resistance to external disturbances. Taking the maximum external wrench in all directions a grasp can balance as a criterion, a planning algorithm is proposed to calculate the initial positions of the fingers for polygonal objects grasping, satisfying the force closure condition. After careful analysis of the features of the primitive wrench set and both the geometrical and the physical significances of the grasping planning criterion in wrench space, a linear programming can be designed to calculate the optimal direction to improve grasp performance based on the given initial grasp arrangement. Starting at the initial arrangement, an iterative algorithm is proposed to continuously improve grasp performance towards the optimal direction and finally converge to the optimal grasp arrangement. Numerical examples show that the initial arrangement with relative good performance can be obtained by the initial arrangement planning algorithm. Meanwhile, the optimal grasping planning algorithm improves the performance towards the optimal direction at every iterative step. Thus, the planning algorithm runs in less iteration with higher efficiency. The final solution reaches or approaches global optimum of the grasping arrangement.

Key words: Force closure, Multi-fingered hand, Optimal grasp planning, Wrench space

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