Exploiting Sparsity in Operational-space Dynamics

dc.contributor.authorFeatherstone, Roy
dc.date.accessioned2015-12-10T22:44:19Z
dc.date.issued2010
dc.date.updated2016-02-24T11:00:47Z
dc.description.abstractThis paper presents a new method for calculating operational-space inertia matrices, and other related quantities, for branched kinematic trees. It is based on the exploitation of branch-induced sparsity in the joint-space inertia matrix and the task Jacobian. Detailed cost figures are given for the new method, and its efficacy is demonstrated by means of a realistic example based on the ASIMO Next-Generation humanoid robot. In this example, the new method is shown to be 6.7 times faster than the basic matrix method, and 1.6 times faster than the efficient low-order algorithm of Rodriguez et al. Furthermore, cost savings of more than 50,000 arithmetic operations are obtained in the calculation of the inertia-weighted pseudoinverse of the task Jacobian and its null-space projection matrix. Additional examples are considered briefly, in order to further compare the new method with the algorithm of Rodriguez et al.
dc.identifier.issn1741-3176
dc.identifier.urihttp://hdl.handle.net/1885/58551
dc.publisherSage Publications Inc
dc.sourceThe International Journal of Robotics Research
dc.subjectKeywords: Arithmetic operations; Basic matrices; Cost saving; Example based; Humanoid robot; humanoids; Inertia matrix; Intertia; Jacobians; Kinematic tree; Projection matrix; Pseudo-inverses; robot dynamics; Space dynamics; Anthropomorphic robots; Jacobian matrice brain-induced sparsity; humanoids; operational-space intertia; robot dynamics
dc.titleExploiting Sparsity in Operational-space Dynamics
dc.typeJournal article
local.bibliographicCitation.issue10
local.bibliographicCitation.lastpage1368
local.bibliographicCitation.startpage1353
local.contributor.affiliationFeatherstone, Roy, College of Engineering and Computer Science, ANU
local.contributor.authoremailrepository.admin@anu.edu.au
local.contributor.authoruidFeatherstone, Roy, u4031973
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor090602 - Control Systems, Robotics and Automation
local.identifier.absseo970109 - Expanding Knowledge in Engineering
local.identifier.ariespublicationu4334215xPUB447
local.identifier.citationvolume29
local.identifier.doi10.1177/0278364909357644
local.identifier.scopusID2-s2.0-77956737837
local.identifier.uidSubmittedByu4334215
local.type.statusPublished Version

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