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Article: Restricted complexity network realizations for passive mechanical control

TitleRestricted complexity network realizations for passive mechanical control
Authors
KeywordsElectric circuits
Mechanical networks
Network synthesis
Passivity
Issue Date2009
PublisherIEEE
Citation
Ieee Transactions On Automatic Control, 2009, v. 54 n. 10, p. 2290-2301 How to Cite?
AbstractThis paper considers a realization problem of restricted complexity arising in an approach to passive control of mechanical systems. This approach is based on synthesizing a positive-real admittance or impedance function using springs, dampers and inerters. This paper solves the following problem: what is the most general class of mechanical admittances which can be realized if the number of dampers and inerters is restricted to one in each case, while allowing an arbitrary number of springs and no transformers (levers)? The solution uses element extraction of the damper and inerter followed by the derivation of a necessary and sufficient condition for the one-element-kind (transformerless) realization of an associated three-port network. This involves the derivation of a necessary and sufficient condition for a third-order non-negative definite matrix to be reducible to a paramount matrix using a diagonal transformation. It is shown that the relevant class of mechanical admittances can be parametrized in terms of five circuit arrangements each containing four springs. © 2009 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/91395
ISSN
2015 Impact Factor: 2.777
2015 SCImago Journal Rankings: 4.238
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorChen, MZQen_HK
dc.contributor.authorSmith, MCen_HK
dc.date.accessioned2010-09-17T10:18:35Z-
dc.date.available2010-09-17T10:18:35Z-
dc.date.issued2009en_HK
dc.identifier.citationIeee Transactions On Automatic Control, 2009, v. 54 n. 10, p. 2290-2301en_HK
dc.identifier.issn0018-9286en_HK
dc.identifier.urihttp://hdl.handle.net/10722/91395-
dc.description.abstractThis paper considers a realization problem of restricted complexity arising in an approach to passive control of mechanical systems. This approach is based on synthesizing a positive-real admittance or impedance function using springs, dampers and inerters. This paper solves the following problem: what is the most general class of mechanical admittances which can be realized if the number of dampers and inerters is restricted to one in each case, while allowing an arbitrary number of springs and no transformers (levers)? The solution uses element extraction of the damper and inerter followed by the derivation of a necessary and sufficient condition for the one-element-kind (transformerless) realization of an associated three-port network. This involves the derivation of a necessary and sufficient condition for a third-order non-negative definite matrix to be reducible to a paramount matrix using a diagonal transformation. It is shown that the relevant class of mechanical admittances can be parametrized in terms of five circuit arrangements each containing four springs. © 2009 IEEE.en_HK
dc.languageengen_HK
dc.publisherIEEEen_HK
dc.relation.ispartofIEEE Transactions on Automatic Controlen_HK
dc.subjectElectric circuitsen_HK
dc.subjectMechanical networksen_HK
dc.subjectNetwork synthesisen_HK
dc.subjectPassivityen_HK
dc.titleRestricted complexity network realizations for passive mechanical controlen_HK
dc.typeArticleen_HK
dc.identifier.emailChen, MZQ:mzqchen@hku.hken_HK
dc.identifier.authorityChen, MZQ=rp01317en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1109/TAC.2009.2028953en_HK
dc.identifier.scopuseid_2-s2.0-70350342027en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-70350342027&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume54en_HK
dc.identifier.issue10en_HK
dc.identifier.spage2290en_HK
dc.identifier.epage2301en_HK
dc.identifier.isiWOS:000270950200002-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridChen, MZQ=35085827300en_HK
dc.identifier.scopusauthoridSmith, MC=8913869300en_HK

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