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Article: Convergent algorithms for frequency weighted L 2 model reduction
Title | Convergent algorithms for frequency weighted L 2 model reduction |
---|---|
Authors | |
Keywords | Kalman Filters L 2 Norm Linear Systems Model Reduction Optimization |
Issue Date | 1997 |
Publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/sysconle |
Citation | Systems And Control Letters, 1997, v. 31 n. 1, p. 11-20 How to Cite? |
Abstract | This paper is concerned with computing an L 2-optimal reduced-order model for a given stable multivariable linear system in the presence of input and output frequency weightings. By parametrizing a class of reduced-order models in terms of an orthogonal projection and using manifold techniques as tools, both continuous and iterative algorithms are derived and their convergence properties are established. As an application, we show that an L 2 optimal reduced-order filter in the closed-loop sense can be computed using these algorithms. © 1997 Elsevier Science B.V. |
Persistent Identifier | http://hdl.handle.net/10722/156462 |
ISSN | 2021 Impact Factor: 2.742 2020 SCImago Journal Rankings: 1.289 |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Yan, WY | en_US |
dc.contributor.author | Xie, L | en_US |
dc.contributor.author | Lam, J | en_US |
dc.date.accessioned | 2012-08-08T08:42:31Z | - |
dc.date.available | 2012-08-08T08:42:31Z | - |
dc.date.issued | 1997 | en_US |
dc.identifier.citation | Systems And Control Letters, 1997, v. 31 n. 1, p. 11-20 | en_US |
dc.identifier.issn | 0167-6911 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/156462 | - |
dc.description.abstract | This paper is concerned with computing an L 2-optimal reduced-order model for a given stable multivariable linear system in the presence of input and output frequency weightings. By parametrizing a class of reduced-order models in terms of an orthogonal projection and using manifold techniques as tools, both continuous and iterative algorithms are derived and their convergence properties are established. As an application, we show that an L 2 optimal reduced-order filter in the closed-loop sense can be computed using these algorithms. © 1997 Elsevier Science B.V. | en_US |
dc.language | eng | en_US |
dc.publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/sysconle | en_US |
dc.relation.ispartof | Systems and Control Letters | en_US |
dc.subject | Kalman Filters | en_US |
dc.subject | L 2 Norm | en_US |
dc.subject | Linear Systems | en_US |
dc.subject | Model Reduction | en_US |
dc.subject | Optimization | en_US |
dc.title | Convergent algorithms for frequency weighted L 2 model reduction | 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.scopus | eid_2-s2.0-0031169655 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0031169655&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 31 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.spage | 11 | en_US |
dc.identifier.epage | 20 | en_US |
dc.publisher.place | Netherlands | en_US |
dc.identifier.scopusauthorid | Yan, WY=7402221751 | en_US |
dc.identifier.scopusauthorid | Xie, L=35087158600 | en_US |
dc.identifier.scopusauthorid | Lam, J=7201973414 | en_US |
dc.identifier.issnl | 0167-6911 | - |