Title
Repeatable approximation of the Jacobian pseudo-inverse
Abstract
For the redundant robot kinematics we construct an extended Jacobian inverse that approximates the Jacobian pseudo-inverse. Our construction relies on the approximation of a codistribution associated with the Jacobian pseudo-inverse by an integrable codistribution, spanned by differentials of certain functions that serve as components of the augmenting kinematics map in the extended Jacobian inverse. The procedure is applied to the kinematics of a 7 degree-of-freedom manipulator POLYCRANK, and to the kinematics of a mobile robot in the chained form.
Year
DOI
Venue
2009
10.1016/j.sysconle.2009.10.004
Systems & Control Letters
Keywords
Field
DocType
Redundant robot kinematics,Jacobian pseudo-inverse,Extended Jacobian inverse,Codistribution,Approximation
Integrable system,Inverse,Mathematical optimization,Kinematics,Inverse kinematics,Jacobian matrix and determinant,Control theory,Robot kinematics,Moore–Penrose pseudoinverse,Mobile robot,Mathematics
Journal
Volume
Issue
ISSN
58
12
0167-6911
Citations 
PageRank 
References 
2
0.39
9
Authors
2
Name
Order
Citations
PageRank
Krzysztof Tchoń18611.55
Mariusz Janiak2224.62