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Singular value decomposition: computation and applications to robotics

dc.contributor.authorKlein, Charles A., author
dc.contributor.authorMaciejewski, Anthony A., author
dc.contributor.authorMassachusetts Institute of Technology, publisher
dc.date.accessioned2007-01-03T07:26:32Z
dc.date.available2007-01-03T07:26:32Z
dc.date.issued1989
dc.description.abstractThe singular value decomposition has been extensivelv used for the analysis of the kinematic and dynamic characteristics of robotic manipulators. Due to a reputation for being numerically expensive to compute, however, it has not been used for real-time applications. This work illustrates a formulation for the singular value decomposition that takes advantage of the nature of robotics matrix calculations to obtain a computationally feasible algorithm. Several applications, including the control of redundant manipulators and the optimization of dexterity, are discussed. A detailed illustration of the use of the singular value decomposition to deal with the general problem of singularities is also presented.
dc.description.sponsorshipThis work was supported by the National Science Foundation under grant DMC-8421321.
dc.format.mediumborn digital
dc.format.mediumarticles
dc.identifier.bibliographicCitationMaciejewski, Anthony A. and Charles A. Klein, The Singular Value Decomposition: Computation and Applications to Robotics, International Journal of Robotics Research 8, no. 6 (December 1989): 63-79.
dc.identifier.urihttp://hdl.handle.net/10217/606
dc.languageEnglish
dc.language.isoeng
dc.publisherColorado State University. Libraries
dc.relation.ispartofFaculty Publications
dc.rights©1989 Massachusetts Institute of Technology.
dc.rightsCopyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright.
dc.subjectsingularities
dc.subjectrobotic manipulators
dc.subjectsingular value decomposition (SVD)
dc.titleSingular value decomposition: computation and applications to robotics
dc.typeText

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