Abstract
Upon solving the inverse kinematics problem of robot manipulators,
the inherent singularity problem should always be considered, When
a manipulator is approaching a singular configuration, a certain
degree of freedom will be lost such that there are no feasible solutions
of the manipulator to move into this singular direction, In this
paper, the singularities of a 6-DOF PUMA manipulator are analyzed
in detail and all the corresponding singular directions in task space
are clearly identified, In order to resolve this singularity problem,
an approach denoted Singularity Isolation Plus Compact QP (SICQP)
method is proposed, The SICQP method decomposes the work space into
achievable and unachievable (i.e., singular) directions. Then, the
exactness in the singular directions are released such that extra
redundancy is provided to the achievable directions. Finally, the
Compact QP method is applied to maintain the exactness in the achievable
directions, and to minimize the tracking errors in the singular directions
under the condition that feasible joint solutions must be obtained.
In the end, some simulation results for PUMA manipulator are given
to demonstrate the effectiveness of the SICQP method.
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