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Article: Hankel-type model reduction for linear repetitive processes: Differential and discrete cases
Title | Hankel-type model reduction for linear repetitive processes: Differential and discrete cases |
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Authors | |
Keywords | Linear Matrix Inequality (Lmi) Linear Repetitive Processes Model Reduction |
Issue Date | 2008 |
Publisher | Springer New York LLC. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0923-6082 |
Citation | Multidimensional Systems And Signal Processing, 2008, v. 19 n. 1, p. 41-78 How to Cite? |
Abstract | This 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. |
Persistent Identifier | http://hdl.handle.net/10722/156935 |
ISSN | 2023 Impact Factor: 1.7 2023 SCImago Journal Rankings: 0.499 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Wu, L | en_US |
dc.contributor.author | Lam, J | en_US |
dc.date.accessioned | 2012-08-08T08:44:36Z | - |
dc.date.available | 2012-08-08T08:44:36Z | - |
dc.date.issued | 2008 | en_US |
dc.identifier.citation | Multidimensional Systems And Signal Processing, 2008, v. 19 n. 1, p. 41-78 | en_US |
dc.identifier.issn | 0923-6082 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/156935 | - |
dc.description.abstract | This 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. | en_US |
dc.language | eng | en_US |
dc.publisher | Springer New York LLC. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0923-6082 | en_US |
dc.relation.ispartof | Multidimensional Systems and Signal Processing | en_US |
dc.subject | Linear Matrix Inequality (Lmi) | en_US |
dc.subject | Linear Repetitive Processes | en_US |
dc.subject | Model Reduction | en_US |
dc.title | Hankel-type model reduction for linear repetitive processes: Differential and discrete cases | en_US |
dc.type | Article | en_US |
dc.identifier.email | Lam, J:james.lam@hku.hk | en_US |
dc.identifier.authority | Lam, J=rp00133 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1007/s11045-007-0031-2 | en_US |
dc.identifier.scopus | eid_2-s2.0-38149006262 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-38149006262&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 19 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.spage | 41 | en_US |
dc.identifier.epage | 78 | en_US |
dc.identifier.isi | WOS:000252281400003 | - |
dc.publisher.place | United States | en_US |
dc.identifier.scopusauthorid | Wu, L=15062089100 | en_US |
dc.identifier.scopusauthorid | Lam, J=7201973414 | en_US |
dc.identifier.issnl | 0923-6082 | - |