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Conference Paper: Reduced-order H∞ filtering for commensurate fractional-order systems

TitleReduced-order H∞ filtering for commensurate fractional-order systems
Authors
KeywordsTechnology: comprehensive works
Issue Date2013
PublisherInstitute of Electrical and Electronics Engineers. The Journal's web site is located at http://www.ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000188
Citation
The 52nd IEEE Conference on Decision and Control (CDC 2013), Florence; Italy, 10-13 December 2013. In IEEE Conference on Decision and Control Proceedings, 2013, p. 4411-4415 How to Cite?
AbstractThis paper is concerned with the reduced-order H∞ filtering problem of commensurate fractional-order systems. Our goal is to construct a reduced-order filter in such a way that the filtering error is within a prescribed H∞-norm error bound. Based on the bounded real lemma for commensurate fractional-order systems, a sufficient condition is established in terms of linear matrix inequalities (LMls) under which the stability as well as the H∞ performance of the filtering error system can be guaranteed. Moreover, by introducing a free real matrix variable, the desired filtering matrices are decoupled with the complex matrix variable and further parameterized by the new matrix variable, which facilitates the filter synthesis. Then, an iterative LMI algorithm is proposed to compute the filtering matrices accordingly. Finally, a numerical example is presented to show the effectiveness of the proposed algorithms. © 2013 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/202293
ISBN
ISSN

 

DC FieldValueLanguage
dc.contributor.authorShen, J-
dc.contributor.authorLam, J-
dc.contributor.authorLi, P-
dc.date.accessioned2014-09-03T08:40:26Z-
dc.date.available2014-09-03T08:40:26Z-
dc.date.issued2013-
dc.identifier.citationThe 52nd IEEE Conference on Decision and Control (CDC 2013), Florence; Italy, 10-13 December 2013. In IEEE Conference on Decision and Control Proceedings, 2013, p. 4411-4415-
dc.identifier.isbn978-1-4673-5717-3-
dc.identifier.issn0191-2216-
dc.identifier.urihttp://hdl.handle.net/10722/202293-
dc.description.abstractThis paper is concerned with the reduced-order H∞ filtering problem of commensurate fractional-order systems. Our goal is to construct a reduced-order filter in such a way that the filtering error is within a prescribed H∞-norm error bound. Based on the bounded real lemma for commensurate fractional-order systems, a sufficient condition is established in terms of linear matrix inequalities (LMls) under which the stability as well as the H∞ performance of the filtering error system can be guaranteed. Moreover, by introducing a free real matrix variable, the desired filtering matrices are decoupled with the complex matrix variable and further parameterized by the new matrix variable, which facilitates the filter synthesis. Then, an iterative LMI algorithm is proposed to compute the filtering matrices accordingly. Finally, a numerical example is presented to show the effectiveness of the proposed algorithms. © 2013 IEEE.-
dc.languageeng-
dc.publisherInstitute of Electrical and Electronics Engineers. The Journal's web site is located at http://www.ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000188-
dc.relation.ispartofIEEE Conference on Decision and Control Proceedings-
dc.rightsIEEE Conference on Decision and Control Proceedings. Copyright © Institute of Electrical and Electronics Engineers.-
dc.rights©2013 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.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectTechnology: comprehensive works-
dc.titleReduced-order H∞ filtering for commensurate fractional-order systemsen_US
dc.typeConference_Paperen_US
dc.identifier.emailLam, J: james.lam@hku.hk-
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1109/CDC.2013.6760568-
dc.identifier.scopuseid_2-s2.0-84902340851-
dc.identifier.hkuros236181-
dc.identifier.spage4411-
dc.identifier.epage4415-
dc.publisher.placeUnited States-
dc.customcontrol.immutablesml 140903-

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