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Article: Establishing tightness in robust H∞ analysis via homogeneous parameter-dependent Lyapunov functions

TitleEstablishing tightness in robust H∞ analysis via homogeneous parameter-dependent Lyapunov functions
Authors
KeywordsH∞ Performance
Homogeneous Form
Lyapunov Function
Polytopic System
Tightness
Issue Date2007
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/automatica
Citation
Automatica, 2007, v. 43 n. 11, p. 1992-1995 How to Cite?
AbstractSeveral methods have been proposed to provide upper bounds to the robust H∞ performance of a linear system with polytopic state space uncertainty. A common problem of these methods is the lack of a test for establishing if the found upper bound is tight or not, which is essential to determine if the search of the sought performance is finished or should continue. This paper provides a necessary and sufficient condition for establishing the tightness of the upper bound provided by homogeneous polynomially parameter-dependent quadratic Lyapunov functions (HPD-QLFs) which recently have been shown to be a powerful tool for computing these upper bounds. This condition is based on the existence of particular vectors in suitable linear spaces. Techniques for finding these vectors are also provided. © 2007 Elsevier Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/155395
ISSN
2015 Impact Factor: 3.635
2015 SCImago Journal Rankings: 4.315
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorChesi, Gen_US
dc.date.accessioned2012-08-08T08:33:16Z-
dc.date.available2012-08-08T08:33:16Z-
dc.date.issued2007en_US
dc.identifier.citationAutomatica, 2007, v. 43 n. 11, p. 1992-1995en_US
dc.identifier.issn0005-1098en_US
dc.identifier.urihttp://hdl.handle.net/10722/155395-
dc.description.abstractSeveral methods have been proposed to provide upper bounds to the robust H∞ performance of a linear system with polytopic state space uncertainty. A common problem of these methods is the lack of a test for establishing if the found upper bound is tight or not, which is essential to determine if the search of the sought performance is finished or should continue. This paper provides a necessary and sufficient condition for establishing the tightness of the upper bound provided by homogeneous polynomially parameter-dependent quadratic Lyapunov functions (HPD-QLFs) which recently have been shown to be a powerful tool for computing these upper bounds. This condition is based on the existence of particular vectors in suitable linear spaces. Techniques for finding these vectors are also provided. © 2007 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.subjectHomogeneous Formen_US
dc.subjectLyapunov Functionen_US
dc.subjectPolytopic Systemen_US
dc.subjectTightnessen_US
dc.titleEstablishing tightness in robust H∞ analysis via homogeneous parameter-dependent Lyapunov functionsen_US
dc.typeArticleen_US
dc.identifier.emailChesi, G:chesi@eee.hku.hken_US
dc.identifier.authorityChesi, G=rp00100en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1016/j.automatica.2007.03.015en_US
dc.identifier.scopuseid_2-s2.0-35348818066en_US
dc.identifier.hkuros139749-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-35348818066&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume43en_US
dc.identifier.issue11en_US
dc.identifier.spage1992en_US
dc.identifier.epage1995en_US
dc.identifier.isiWOS:000251098000014-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridChesi, G=7006328614en_US

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