Bw. Choi et al., EVALUATION OF DEXTERITY MEASURES FOR A 3-LINK PLANAR REDUNDANT MANIPULATOR USING CONSTRAINT LOCUS, IEEE transactions on robotics and automation, 11(2), 1995, pp. 282-285
This paper describes how to evaluate the performance of dexterity meas
ures by investigating the properties of the inverse kinematic algorith
ms, These algorithms use redundancy to optimize the dexterity measure
under the constraint of following a specified end-effector trajectory.
To facilitate the investigation, a concept of the constraint locus is
proposed. The constraint locus is the loci of configurations satisfyi
ng the necessary conditions for optimality of a dexterity measure in t
he configuration space, The topological properties of the inverse kine
matic algorithm both on the configuration and operation spaces define
the invertible workspace without singularities. Using the global prope
rties of two dexterity measures, we provide a promising algorithm whic
h provides a singular-free and conservative joint trajectory for tasks
occupying almost the entire workspace.