Near-pseudoinverse control of kinematically redundant manipulators with the constraint of repeatability
Roberts, Rodney G., author
Maciejewski, Anthony A., author
The issue of repeatability is addressed for a particular redundant manipulator. This particular manipulator is a planar three-link manipulator with two orthogonal, prismatic joints and a third revolute joint. This manipulator can be thought of as a mobile robot with one revolute joint. It is shown that pseudoinverse control has no stable surfaces for this robotic manipulator. A class of repeatable inverses is then derived. Finally the repeatable inverse which is closest in an integral norm sense to the pseudoinverse is found from this class.
control system analysis