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Article: Positivity-preserving H ∞ model reduction for positive systems

TitlePositivity-preserving H ∞ model reduction for positive systems
Authors
Li, PLam, JWang, ZDate, P
KeywordsH ∞ Performance
Iterative Algorithm
Linear Matrix Inequality
Model Reduction
Positive Systems
Issue Date2011
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/automatica
Citation
Automatica, 2011, v. 47 n. 7, p. 1504-1511 How to Cite?
DOI: http://dx.doi.org/10.1016/j.automatica.2011.02.032
AbstractThis paper is concerned with the model reduction of positive systems. For a given stable positive system, our attention is focused on the construction of a reduced-order model in such a way that the positivity of the original system is preserved and the error system is stable with a prescribed H ∞ performance. Based upon a system augmentation approach, a novel characterization on the stability with H ∞ performance of the error system is first obtained in terms of linear matrix inequality (LMI). Then, a necessary and sufficient condition for the existence of a desired reduced-order model is derived accordingly. Furthermore, iterative LMI approaches with primal and dual forms are developed to solve the positivity-preserving H ∞ model reduction problem. Finally, a compartmental network is provided to show the effectiveness of the proposed techniques. © 2011 Elsevier Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/157118
ISSN
0005-1098
2023 Impact Factor: 4.8
2023 SCImago Journal Rankings: 3.502
ISI Accession Number ID
WOS:000292074400026
Funding AgencyGrant Number
GRF HKU7138/10E
Royal Academy of Engineering of the UK
Funding Information:

The work was partially supported by GRF HKU 7138/10E and the Distinguished Visiting Fellowship funded by the Royal Academy of Engineering of the UK. The material in this paper was partially presented at the 2010 American Control Conference, June 30-July 2, 2010, Baltimore, Maryland, USA. This paper was recommended for publication in revised form by Associate Editor Tongwen Chen under the direction of Editor Ian R. Petersen.

References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorLi, Pen_US
dc.contributor.authorLam, Jen_US
dc.contributor.authorWang, Zen_US
dc.contributor.authorDate, Pen_US
dc.date.accessioned2012-08-08T08:45:25Z-
dc.date.available2012-08-08T08:45:25Z-
dc.date.issued2011en_US
dc.identifier.citationAutomatica, 2011, v. 47 n. 7, p. 1504-1511en_US
dc.identifier.issn0005-1098en_US
dc.identifier.urihttp://hdl.handle.net/10722/157118-
dc.description.abstractThis paper is concerned with the model reduction of positive systems. For a given stable positive system, our attention is focused on the construction of a reduced-order model in such a way that the positivity of the original system is preserved and the error system is stable with a prescribed H ∞ performance. Based upon a system augmentation approach, a novel characterization on the stability with H ∞ performance of the error system is first obtained in terms of linear matrix inequality (LMI). Then, a necessary and sufficient condition for the existence of a desired reduced-order model is derived accordingly. Furthermore, iterative LMI approaches with primal and dual forms are developed to solve the positivity-preserving H ∞ model reduction problem. Finally, a compartmental network is provided to show the effectiveness of the proposed techniques. © 2011 Elsevier Ltd. All rights reserved.en_US
dc.languageengen_US
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/automaticaen_US
dc.relation.ispartofAutomaticaen_US
dc.subjectH ∞ Performanceen_US
dc.subjectIterative Algorithmen_US
dc.subjectLinear Matrix Inequalityen_US
dc.subjectModel Reductionen_US
dc.subjectPositive Systemsen_US
dc.titlePositivity-preserving H ∞ model reduction for positive systemsen_US
dc.typeArticleen_US
dc.identifier.emailLam, J:james.lam@hku.hken_US
dc.identifier.authorityLam, J=rp00133en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1016/j.automatica.2011.02.032en_US
dc.identifier.scopuseid_2-s2.0-79957484309en_US
dc.identifier.hkuros208787-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-79957484309&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume47en_US
dc.identifier.issue7en_US
dc.identifier.spage1504en_US
dc.identifier.epage1511en_US
dc.identifier.isiWOS:000292074400026-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridLi, P=35069715100en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US
dc.identifier.scopusauthoridWang, Z=35231712300en_US
dc.identifier.scopusauthoridDate, P=21733410000en_US
dc.identifier.citeulike9006864-
dc.identifier.issnl0005-1098-

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