On the implementation of velocity control for kinematically redundant manipulators

The velocity control of kinematically redundant manipulators has been addressed through a variety of approaches. Though they differ widely in their purpose and method of implementation, most are optimizations that can be characterized by Liegeois's (1977) method. This characterization is used i...

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Bibliographic Details
Published inIEEE transactions on systems, man and cybernetics. Part A, Systems and humans Vol. 30; no. 3; pp. 233 - 237
Main Authors English, J.D., Maciejewski, A.A.
Format Journal Article
LanguageEnglish
Published IEEE 01.05.2000
Subjects
Computational efficiency
Jacobian matrices
Kinematics
Laboratories
Linear systems
Manipulators
Mathematical analysis
Mathematical models
NASA
Optimization methods
Redundant
Robot arms
Scalars
Space technology
Symmetric matrices
Vectors
Velocity control
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Summary:The velocity control of kinematically redundant manipulators has been addressed through a variety of approaches. Though they differ widely in their purpose and method of implementation, most are optimizations that can be characterized by Liegeois's (1977) method. This characterization is used in this article to develop a single framework for implementing different methods by simply selecting a scalar, a function of configuration, and a joint-rate weighting matrix. These quantities are used to form a fully constrained linear system by row augmenting the manipulator Jacobian with a weighted basis of its nullspace and augmenting the desired hand motion with a vector function of the nullspace basis. The framework is shown to be flexible, computationally efficient, and accurate.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1083-4427
1558-2426
DOI:10.1109/3468.844350