Article: Hankel-type model reduction for linear repetitive processes: Differential and discrete cases

File Download
  • No File Attached
Links for fulltext
(May Require Subscription)
Supplementary
  • Basic View
  • Metadata View
  • XML View
TitleHankel-type model reduction for linear repetitive processes: Differential and discrete cases
AuthorsWu, L2
Lam, J1
KeywordsLinear Matrix Inequality (Lmi)
Linear Repetitive Processes
Model Reduction
Issue Date2008
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, 2008, v. 19 n. 1, p. 41-78 [How to Cite?]
DOI: http://dx.doi.org/10.1007/s11045-007-0031-2
AbstractThis paper investigates a Hankel-type model reduction problem for linear repetitive processes. Both differential and discrete cases are considered. For a given stable along the pass process, our attention is focused on the construction of a reduced-order stable along the pass process, which guarantees the corresponding error process to have a specified Hankel-type error performance. The Hankel-type performances are first established for differential and discrete linear repetitive processes, respectively, and the corresponding model reduction problems are solved by using the projection approach. Since these obtained conditions are not expressed in linear matrix inequality (LMI) form, the cone complementary linearization (CCL) method is exploited to cast them into sequential minimization problems subject to LMI constraints, which can be solved efficiently. Three numerical examples are provided to demonstrate the proposed theory. © 2007 Springer Science+Business Media, LLC.
ISSN0923-6082
2011 Impact Factor: 0.953
2011 SCImago Journal Rankings: 0.048
DOIhttp://dx.doi.org/10.1007/s11045-007-0031-2
ISI Accession Number IDWOS:000252281400003
ReferencesReferences in Scopus
DC Field
Value
dc.contributor.authorWu, L
dc.contributor.authorLam, J
dc.date.accessioned2012-08-08T08:44:36Z
dc.date.available2012-08-08T08:44:36Z
dc.date.issued2008
dc.description.abstractThis paper investigates a Hankel-type model reduction problem for linear repetitive processes. Both differential and discrete cases are considered. For a given stable along the pass process, our attention is focused on the construction of a reduced-order stable along the pass process, which guarantees the corresponding error process to have a specified Hankel-type error performance. The Hankel-type performances are first established for differential and discrete linear repetitive processes, respectively, and the corresponding model reduction problems are solved by using the projection approach. Since these obtained conditions are not expressed in linear matrix inequality (LMI) form, the cone complementary linearization (CCL) method is exploited to cast them into sequential minimization problems subject to LMI constraints, which can be solved efficiently. Three numerical examples are provided to demonstrate the proposed theory. © 2007 Springer Science+Business Media, LLC.
dc.description.natureLink_to_subscribed_fulltext
dc.identifier.citationMultidimensional Systems And Signal Processing, 2008, v. 19 n. 1, p. 41-78 [How to Cite?]
DOI: http://dx.doi.org/10.1007/s11045-007-0031-2
dc.identifier.doihttp://dx.doi.org/10.1007/s11045-007-0031-2
dc.identifier.epage78
dc.identifier.isiWOS:000252281400003
dc.identifier.issn0923-6082
2011 Impact Factor: 0.953
2011 SCImago Journal Rankings: 0.048
dc.identifier.issue1
dc.identifier.scopuseid_2-s2.0-38149006262
dc.identifier.spage41
dc.identifier.urihttp://hdl.handle.net/10722/156935
dc.identifier.volume19
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.subjectLinear Matrix Inequality (Lmi)
dc.subjectLinear Repetitive Processes
dc.subjectModel Reduction
dc.titleHankel-type model reduction for linear repetitive processes: Differential and discrete cases
dc.typeArticle
Author Affiliations
  1. The University of Hong Kong
  2. South China University of Technology