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Article: H∞ model reduction for linear time-delay systems: Continuous-time case
Title | H∞ model reduction for linear time-delay systems: Continuous-time case |
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Authors | |
Issue Date | 2001 |
Publisher | Taylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00207179.asp |
Citation | International Journal Of Control, 2001, v. 74 n. 11, p. 1062-1074 How to Cite? |
Abstract | This paper deals with the problem of H∞ model reduction for linear continuous time-delay systems. For a given delay system, the problem we address is the construction of a reduced-order model such that the associated model error satisfies a prescribed H∞ norm bound constraint. Two alternative methods for obtaining reduced-order models are presented. Sufficient conditions for the existence of desired reduced-order models are proposed in terms of linear matrix inequalities (LMIs) and a coupling non-convex rank constraint set. Conditions based on strict LMIs are obtained for the zeroth-order H∞ approximation problem. When these conditions are satisfied, an explicit parametrization of the desired reduced-order models is also presented. All these results are extended to time-delay systems with parameter uncertainties. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed approach. |
Persistent Identifier | http://hdl.handle.net/10722/156618 |
ISSN | 2023 Impact Factor: 1.6 2023 SCImago Journal Rankings: 0.862 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Xu, S | en_US |
dc.contributor.author | Lam, J | en_US |
dc.contributor.author | Huang, S | en_US |
dc.contributor.author | Yang, C | en_US |
dc.date.accessioned | 2012-08-08T08:43:13Z | - |
dc.date.available | 2012-08-08T08:43:13Z | - |
dc.date.issued | 2001 | en_US |
dc.identifier.citation | International Journal Of Control, 2001, v. 74 n. 11, p. 1062-1074 | en_US |
dc.identifier.issn | 0020-7179 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/156618 | - |
dc.description.abstract | This paper deals with the problem of H∞ model reduction for linear continuous time-delay systems. For a given delay system, the problem we address is the construction of a reduced-order model such that the associated model error satisfies a prescribed H∞ norm bound constraint. Two alternative methods for obtaining reduced-order models are presented. Sufficient conditions for the existence of desired reduced-order models are proposed in terms of linear matrix inequalities (LMIs) and a coupling non-convex rank constraint set. Conditions based on strict LMIs are obtained for the zeroth-order H∞ approximation problem. When these conditions are satisfied, an explicit parametrization of the desired reduced-order models is also presented. All these results are extended to time-delay systems with parameter uncertainties. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed approach. | en_US |
dc.language | eng | en_US |
dc.publisher | Taylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00207179.asp | en_US |
dc.relation.ispartof | International Journal of Control | en_US |
dc.title | H∞ model reduction for linear time-delay systems: Continuous-time case | 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 | 10.1080/00207170110052194 | en_US |
dc.identifier.scopus | eid_2-s2.0-0035920326 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0035920326&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 74 | en_US |
dc.identifier.issue | 11 | en_US |
dc.identifier.spage | 1062 | en_US |
dc.identifier.epage | 1074 | en_US |
dc.identifier.isi | WOS:000170355200003 | - |
dc.publisher.place | United Kingdom | en_US |
dc.identifier.scopusauthorid | Xu, S=7404438591 | en_US |
dc.identifier.scopusauthorid | Lam, J=7201973414 | en_US |
dc.identifier.scopusauthorid | Huang, S=8304963900 | en_US |
dc.identifier.scopusauthorid | Yang, C=7407027260 | en_US |
dc.identifier.issnl | 0020-7179 | - |