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Article: On positive filtering with H∞ performance for compartmental networks

TitleOn positive filtering with H∞ performance for compartmental networks
Authors
KeywordsCompartmental Networks
H Performance
Iterative Calculation
Linear Matrix Inequality (Lmi)
Positive Filtering
Reduced-Order Filtering
Issue Date2009
PublisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00207721.asp
Citation
International Journal Of Systems Science, 2009, v. 40 n. 9, p. 961-971 How to Cite?
AbstractThis article studies the reduced-order positive filtering problem with H performance of compartmental networks via a system augmentation approach. The filtering system is represented as a system augmentation form, which facilitates the parameterisation with structural constraints. By virtue of system augmentation, a new characterisation of the stability and H performance of the filtering system is established in terms of matrix inequalities. Based on this new characterisation, a necessary and sufficient condition for the existence of a desired filter is proposed, and an iterative algorithm is given to solve the condition. It is emphasised that the significance of the results presented in the article is not any extension of existing approaches or techniques to compartmental networks, but a new framework for filter synthesis. The effectiveness of the theoretical results is shown through some numerical examples.
Persistent Identifierhttp://hdl.handle.net/10722/157028
ISSN
2015 Impact Factor: 1.947
2015 SCImago Journal Rankings: 1.083
ISI Accession Number ID
Funding AgencyGrant Number
HKUCRCG 200611159157
Funding Information:

This work was partially supported by HKU CRCG 200611159157.

References

 

DC FieldValueLanguage
dc.contributor.authorShu, Zen_US
dc.contributor.authorLam, Jen_US
dc.contributor.authorLi, Pen_US
dc.date.accessioned2012-08-08T08:45:01Z-
dc.date.available2012-08-08T08:45:01Z-
dc.date.issued2009en_US
dc.identifier.citationInternational Journal Of Systems Science, 2009, v. 40 n. 9, p. 961-971en_US
dc.identifier.issn0020-7721en_US
dc.identifier.urihttp://hdl.handle.net/10722/157028-
dc.description.abstractThis article studies the reduced-order positive filtering problem with H performance of compartmental networks via a system augmentation approach. The filtering system is represented as a system augmentation form, which facilitates the parameterisation with structural constraints. By virtue of system augmentation, a new characterisation of the stability and H performance of the filtering system is established in terms of matrix inequalities. Based on this new characterisation, a necessary and sufficient condition for the existence of a desired filter is proposed, and an iterative algorithm is given to solve the condition. It is emphasised that the significance of the results presented in the article is not any extension of existing approaches or techniques to compartmental networks, but a new framework for filter synthesis. The effectiveness of the theoretical results is shown through some numerical examples.en_US
dc.languageengen_US
dc.publisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00207721.aspen_US
dc.relation.ispartofInternational Journal of Systems Scienceen_US
dc.subjectCompartmental Networksen_US
dc.subjectH Performanceen_US
dc.subjectIterative Calculationen_US
dc.subjectLinear Matrix Inequality (Lmi)en_US
dc.subjectPositive Filteringen_US
dc.subjectReduced-Order Filteringen_US
dc.titleOn positive filtering with H∞ performance for compartmental networksen_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.doi10.1080/00207720802645279en_US
dc.identifier.scopuseid_2-s2.0-70349448492en_US
dc.identifier.hkuros179596-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-70349448492&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume40en_US
dc.identifier.issue9en_US
dc.identifier.spage961en_US
dc.identifier.epage971en_US
dc.identifier.isiWOS:000270003300007-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridShu, Z=25652150400en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US
dc.identifier.scopusauthoridLi, P=35069715100en_US

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