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Conference Paper: A new condition and equivalence results for robust stability analysis of rationally time-varying uncertain linear systems

TitleA new condition and equivalence results for robust stability analysis of rationally time-varying uncertain linear systems
Authors
KeywordsExisting conditions
Homogeneous polynomials
Numerical example
Polytopes
Robust stability
Issue Date2011
PublisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000119
Citation
The 2011 IEEE International Symposium on Computer-Aided Control System Design (CACSD), Denver, CO., 28-30 September 2011. In IEEE CACSD International Symposium Proceedings, 2011, p. 234-239 How to Cite?
AbstractUncertain systems is a fundamental area of automatic control. This paper addresses robust stability of uncertain linear systems with rational dependence on unknown time-varying parameters constrained in a polytope. For this problem, a new sufficient condition based on the search for a common homogeneous polynomial Lyapunov function is proposed through a particular representation of parameter-dependent polynomials and LMIs. Relationships with existing conditions based on the same class of Lyapunov functions are hence investigated, showing that the proposed condition is either equivalent to or less conservative than existing ones. As a matter of fact, the proposed condition turns out to be also necessary for a class of systems. Some numerical examples illustrate the use of the proposed condition and its benefits. © 2011 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/158737
ISBN
References

 

DC FieldValueLanguage
dc.contributor.authorChesi, Gen_US
dc.date.accessioned2012-08-08T09:01:05Z-
dc.date.available2012-08-08T09:01:05Z-
dc.date.issued2011en_US
dc.identifier.citationThe 2011 IEEE International Symposium on Computer-Aided Control System Design (CACSD), Denver, CO., 28-30 September 2011. In IEEE CACSD International Symposium Proceedings, 2011, p. 234-239en_US
dc.identifier.isbn978-1-4577-1067-4-
dc.identifier.urihttp://hdl.handle.net/10722/158737-
dc.description.abstractUncertain systems is a fundamental area of automatic control. This paper addresses robust stability of uncertain linear systems with rational dependence on unknown time-varying parameters constrained in a polytope. For this problem, a new sufficient condition based on the search for a common homogeneous polynomial Lyapunov function is proposed through a particular representation of parameter-dependent polynomials and LMIs. Relationships with existing conditions based on the same class of Lyapunov functions are hence investigated, showing that the proposed condition is either equivalent to or less conservative than existing ones. As a matter of fact, the proposed condition turns out to be also necessary for a class of systems. Some numerical examples illustrate the use of the proposed condition and its benefits. © 2011 IEEE.en_US
dc.languageengen_US
dc.publisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000119-
dc.relation.ispartofIEEE International Symposium on Computer-Aided Control System Design Proceedingsen_US
dc.rightsIEEE International Symposium on Computer-Aided Control System Design Proceedings. Copyright © IEEE.-
dc.rights©2011 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.-
dc.rightsThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.-
dc.subjectExisting conditions-
dc.subjectHomogeneous polynomials-
dc.subjectNumerical example-
dc.subjectPolytopes-
dc.subjectRobust stability-
dc.titleA new condition and equivalence results for robust stability analysis of rationally time-varying uncertain linear systemsen_US
dc.typeConference_Paperen_US
dc.identifier.emailChesi, G: chesi@eee.hku.hken_US
dc.identifier.authorityChesi, G=rp00100en_US
dc.description.naturepublished_or_final_versionen_US
dc.identifier.doi10.1109/CACSD.2011.6044569en_US
dc.identifier.scopuseid_2-s2.0-80755169879en_US
dc.identifier.hkuros201442-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-80755169879&selection=ref&src=s&origin=recordpageen_US
dc.identifier.spage234en_US
dc.identifier.epage239en_US
dc.publisher.placeUnited States-
dc.description.otherThe 2011 IEEE International Symposium on Computer-Aided Control System Design (CACSD), Denver, CO., 28-30 September 2011. In IEEE CACSD International Symposium Proceedings, 2011, p. 234-239-
dc.identifier.scopusauthoridChesi, G=7006328614en_US

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