Fast Evaluation of Grasp Stability by Using Ellipsoidal Approximation of Friction Cone

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  • Tsuji Tokuo
    Intelligent Systems Research Institute, National Institute of Advanced Industrial Science and Technology (AIST)
  • Harada Kensuke
    Intelligent Systems Research Institute, National Institute of Advanced Industrial Science and Technology (AIST)
  • Kaneko Kenji
    Intelligent Systems Research Institute, National Institute of Advanced Industrial Science and Technology (AIST)

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Other Title
  • 摩擦円すいの楕円体近似を用いた把持安定性の高速評価
  • マサツエン スイ ノ ダエンタイ キンジ オ モチイタ ハジ アンテイセイ ノ コウソク ヒョウカ

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Abstract

This paper presents a fast method of evaluating grasp stability when a multi-fingered hand grasps objects. Different from previous methods, we consider approximating the friction cone by using a few ellipsoids. By using this method, the total force/moment set applied to the grasped object can be obtained by a common set of multiple ellipsoids. This method is not conservative but effective since approximated force closure is tested by simply calculating the inequalities of quadratic form. Moreover, by using the ellipsoidal approximation, we propose an easy method of evaluating the grasp stability. We show that the grasp stability can be easily calculated by using simple equations. The effectiveness of the proposed method is verified by several numerical examples where we show that the proposed method has practical accuracy for real applications and evaluates the grasp stability much faster than conventional methods.

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