This paper addresses a method of satisfactorily controlling the grasp
of objects. Emphasis is placed on achieving the desired stiffness of a
grasped object as accurately as possible, especially when the fingers
have redundant joints. A model describing the relation between stiffn
ess and force is derived. Based upon this model, a hierarchical contro
l scheme of the grasp stiffness, called decentralized object stiffness
control (DOSC) is proposed. DOSC is composed of a fingertip stiffness
synthesis (FSS) algorithm and orthogonal stiffness decomposition cont
rol (OSDC). Employing the proposed FSS always achieves the desired gra
sp stiffness by solving the constrained least square problem. The comp
uted fingertip stiffness is achieved by OSDC. It offers a feasible way
of controlling the fingertip stiffness as well as maintaining the sta
bility of the finger configuration by modulating the joint stiffness.
The developed control method is implemented on a two-fingered planar r
obot hand one finger of which has a redundant joint. The effectiveness
of the control method is confirmed experimentally.