This paper analyzes
the dynamics and control of pinch motions generated by a
pair of two multi-degrees-of-freedom robot fingers with soft and deformable
tips pinching a rigid object. It is shown firstly that
passivity analysis leads to an effective design of a feedback
control signal that realizes dynamic stable pinching (grasping), even if
extra terms of Lagrange's multipliers arise from holonomic constraints of
tight area-contacts between soft finger-tips and surfaces of the rigid
object and exert torques and forces on the dynamics. It
is shown secondly that a principle of superposition is applicable
to the design of additional feedback signals for controlling both
the posture (rotational angle) and position (some of task coordinates
of the mass center) of the object provided that the
number of degrees of freedom of each finger is specified
for satisfying a condition of stationary resolution of controlled position
state variables. The details of feedback signals are presented in
the case of a special setup consisting of two robot
fingers with two degrees of freedom.
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