Abstract
This paper presents a general, nonholonomic dextrous manipulation and finger gaiting technique for robotic grasping problems. This method is general in that it is independent of the geometry of the grasped object and independent of the morphology of the manipulating hand. This method is based upon a nonholonomic motion planning method for smooth system that has been extended to a certain class of discontinuous systems by recognizing a particular generic geometric structure underlying robotic grasping problems, called a stratification which is a decomposition of the configuration space of the system into subsets which correspond to the various combinations of fingers contacting the object.
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