Article: H ∞ model reduction of 2-D dingular roesser models

File Download
  • No File Attached
Links for fulltext
(May Require Subscription)
Supplementary
  • Basic View
  • Metadata View
  • XML View
TitleH ∞ model reduction of 2-D dingular roesser models
AuthorsXu, H2
Zou, Y2
Xu, S2
Lam, J1
Wang, Q1
Keywords2-D Singular Systems
Bounded Realness
H ∞ Model Reduction
Linear Matrix Inequality
Roesser Models
Issue Date2005
PublisherSpringer New York LLC. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0923-6082
CitationMultidimensional Systems And Signal Processing, 2005, v. 16 n. 3, p. 285-304 [How to Cite?]
DOI: http://dx.doi.org/10.1007/s11045-005-1678-1
AbstractThis paper discusses the problem of H ∞ model reduction for linear discrete time 2-D singular Roesser models (2-D SRM). A condition for bounded realness is established for 2-D SRM in terms of linear matrix inequalities (LMIs). Based on this, a sufficient condition for the solvability of the H ∞ model reduction problem is obtained via a group of LMIs and a set of coupling non-convex rank constraints. An explicit parameterization of the desired reduced-order models is presented. Particularly, a simple LMI condition without rank constraints is proposed for the zeroth-order H ∞ approximation problem. Finally, a numerical example is given to illustrate the applicability of the proposed approach. © 2005 Springer Science+Business Media, Inc.
ISSN0923-6082
2011 Impact Factor: 0.953
2011 SCImago Journal Rankings: 0.048
DOIhttp://dx.doi.org/10.1007/s11045-005-1678-1
ISI Accession Number IDWOS:000230263600003
ReferencesReferences in Scopus
DC Field
Value
dc.contributor.authorXu, H
dc.contributor.authorZou, Y
dc.contributor.authorXu, S
dc.contributor.authorLam, J
dc.contributor.authorWang, Q
dc.date.accessioned2012-08-08T08:43:54Z
dc.date.available2012-08-08T08:43:54Z
dc.date.issued2005
dc.description.abstractThis paper discusses the problem of H ∞ model reduction for linear discrete time 2-D singular Roesser models (2-D SRM). A condition for bounded realness is established for 2-D SRM in terms of linear matrix inequalities (LMIs). Based on this, a sufficient condition for the solvability of the H ∞ model reduction problem is obtained via a group of LMIs and a set of coupling non-convex rank constraints. An explicit parameterization of the desired reduced-order models is presented. Particularly, a simple LMI condition without rank constraints is proposed for the zeroth-order H ∞ approximation problem. Finally, a numerical example is given to illustrate the applicability of the proposed approach. © 2005 Springer Science+Business Media, Inc.
dc.description.natureLink_to_subscribed_fulltext
dc.identifier.citationMultidimensional Systems And Signal Processing, 2005, v. 16 n. 3, p. 285-304 [How to Cite?]
DOI: http://dx.doi.org/10.1007/s11045-005-1678-1
dc.identifier.citeulike247359
dc.identifier.doihttp://dx.doi.org/10.1007/s11045-005-1678-1
dc.identifier.epage304
dc.identifier.isiWOS:000230263600003
dc.identifier.issn0923-6082
2011 Impact Factor: 0.953
2011 SCImago Journal Rankings: 0.048
dc.identifier.issue3
dc.identifier.scopuseid_2-s2.0-21844434176
dc.identifier.spage285
dc.identifier.urihttp://hdl.handle.net/10722/156770
dc.identifier.volume16
dc.languageeng
dc.publisherSpringer New York LLC. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0923-6082
dc.publisher.placeUnited States
dc.relation.ispartofMultidimensional Systems and Signal Processing
dc.relation.referencesReferences in Scopus
dc.subject2-D Singular Systems
dc.subjectBounded Realness
dc.subjectH ∞ Model Reduction
dc.subjectLinear Matrix Inequality
dc.subjectRoesser Models
dc.titleH ∞ model reduction of 2-D dingular roesser models
dc.typeArticle
Author Affiliations
  1. The University of Hong Kong
  2. Nanjing University of Science and Technology