Optimal grasps for planar multifingered robotic hands

A fast and simple algorithm for determining optimal grasps of a planar multifingered robotic hand is presented. Using a representation for the stiffness of a planar grasp system, the authors derive conditions for static equilibrium, task-oriented grasping, and stability. An optimization model for determining optimal grasps of a planar multifingered hand is established using a quality measure which includes the effect of the external disturbing forces and moments. A constrained gradient descent technique is used to compute the optimal grasps. An example demonstrates the applicability and effectiveness of the theory