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Article: Non-fragile control of periodic piecewise linear time-varying systems with time delay

TitleNon-fragile control of periodic piecewise linear time-varying systems with time delay
Authors
Keywordstime-varying systems
closed loop systems
control system synthesis
uncertain systems
linear matrix inequalities
Issue Date2019
PublisherThe Institution of Engineering and Technology. The Journal's web site is located at http://www.ietdl.org/IP-CTA
Citation
IET Control Theory and Applications, 2019, Epub How to Cite?
AbstractIn this study, the stability and stabilisation issues of a class of periodic piecewise linear time-varying systems with time delay are studied. Based on a lemma with respects to the negative definite matrix polynomial, a sufficient delay-dependent exponential stability condition is obtained via constructing a Lyapunov–Krasovskii functional with periodic matrix functions. Then, for two types of norm-bounded uncertainties of time-varying controller gains, the non-fragile stabilising controllers under the multiplicative and additive gain perturbations are designed to stabilise the closed-loop system. The obtained controller gains could be solved with linear matrix inequalities directly instead of using the iterative algorithm. That is valued in engineering applications. Numerical examples are presented to demonstrate the effectiveness of the proposed methods.
Persistent Identifierhttp://hdl.handle.net/10722/272216
ISSN
2017 Impact Factor: 3.296
2015 SCImago Journal Rankings: 1.467

 

DC FieldValueLanguage
dc.contributor.authorLiu, Y-
dc.contributor.authorLi, P-
dc.contributor.authorXIE, X-
dc.contributor.authorZhang, B-
dc.date.accessioned2019-07-20T10:37:57Z-
dc.date.available2019-07-20T10:37:57Z-
dc.date.issued2019-
dc.identifier.citationIET Control Theory and Applications, 2019, Epub-
dc.identifier.issn1751-8644-
dc.identifier.urihttp://hdl.handle.net/10722/272216-
dc.description.abstractIn this study, the stability and stabilisation issues of a class of periodic piecewise linear time-varying systems with time delay are studied. Based on a lemma with respects to the negative definite matrix polynomial, a sufficient delay-dependent exponential stability condition is obtained via constructing a Lyapunov–Krasovskii functional with periodic matrix functions. Then, for two types of norm-bounded uncertainties of time-varying controller gains, the non-fragile stabilising controllers under the multiplicative and additive gain perturbations are designed to stabilise the closed-loop system. The obtained controller gains could be solved with linear matrix inequalities directly instead of using the iterative algorithm. That is valued in engineering applications. Numerical examples are presented to demonstrate the effectiveness of the proposed methods.-
dc.languageeng-
dc.publisherThe Institution of Engineering and Technology. The Journal's web site is located at http://www.ietdl.org/IP-CTA-
dc.relation.ispartofIET Control Theory and Applications-
dc.rights[Pre-print to be removed on publication] “This paper is a postprint of a paper submitted to and accepted for publication in [journal] and is subject to IET copyright. The copy of record is available at IET Digital Library [link using doi]”-
dc.subjecttime-varying systems-
dc.subjectclosed loop systems-
dc.subjectcontrol system synthesis-
dc.subjectuncertain systems-
dc.subjectlinear matrix inequalities-
dc.titleNon-fragile control of periodic piecewise linear time-varying systems with time delay-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1049/iet-cta.2019.0039-
dc.identifier.hkuros298546-
dc.publisher.placeUnited Kingdom-

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