Title
On inverting singular kinematics and geodesic trajectory generation for robot manipulators.
Abstract
In this paper, a new method is proposed of solving the inverse kinematic problem for robot manipulators whose kinematics are allowed to possess singularities. The method is based upon the so-called generalized Newton algorithm, introduced by S. Smale, and can be adopted to both nonredundant and redundant kinematics. Moreover, given a pair of points in the external space of a manipulator, the method is capable of generating a minimum-length trajectory joining the points (a geodesic), in particular a straight-line trajectory. Results of representative computer experiments, including those with the PUMA 560 kinematics, are reported in order to illustrate the performance of the method.
Year
DOI
Venue
1993
10.1007/BF01257948
Journal of Intelligent and Robotic Systems
Keywords
Field
DocType
Inverse kinematic problem,singularities,trajectory generation,geodesic,transversality
Topology,Kinematics,Kinematics equations,Inverse kinematics,321 kinematic structure,Control theory,Robot kinematics,Gravitational singularity,Geodesic,Trajectory,Mathematics
Journal
Volume
Issue
ISSN
8
3
1573-0409
Citations 
PageRank 
References 
13
1.59
13
Authors
2
Name
Order
Citations
PageRank
Krzysztof Tchon15213.93
Ignacy Duleba211519.40