Title
Comparison of Extended Jacobian and Lagrange Multiplier Based Methods for Resolving Kinematic Redundancy
Abstract
Several methods have been proposed in the past for resolving the control of kinematically redundant manipulators by optimizing a secondary criterion. The extended Jacobian method constrains the gradient of this criterion to be in the null space of the Jacobian matrix, while the Lagrange multiplier method represents the gradient as being in the row space. In this paper, a numerically efficient form of the Lagrange multiplier method is presented and is compared analytically, computationally, and operationally to the extended Jacobian method. This paper also presents an improved method for tracking algorithmic singularities over previous work.
Year
DOI
Venue
1997
10.1023/A:1007941331202
Journal of Intelligent and Robotic Systems
Keywords
Field
DocType
extended Jacobian method,Lagrange multiplier method,kinematically redundant manipulators,numerical efficiency,optimization,robotics
Kernel (linear algebra),Jacobi method,Jacobian matrix and determinant,Control theory,Lagrange multiplier,Constraint algorithm,Singularity,Artificial intelligence,Gravitational singularity,Robotics,Mathematics
Journal
Volume
Issue
ISSN
19
1
1573-0409
Citations 
PageRank 
References 
5
0.61
12
Authors
2
Name
Order
Citations
PageRank
Charles A. Klein1309105.38
Lichung Chu2244.08