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Article: Non-fragile exponential stability assignment of discrete-time linear systems with missing data in actuators

TitleNon-fragile exponential stability assignment of discrete-time linear systems with missing data in actuators
Authors
KeywordsExponential stability
Linear matrix inequality (LMI)
Markov chain
Missing data
Non-fragile control
Issue Date2009
PublisherIEEE.
Citation
Ieee Transactions On Automatic Control, 2009, v. 54 n. 3, p. 625-630 How to Cite?
AbstractThis technical note is concerned with the non-fragile exponential stabilization for a class of discrete-time linear systems with missing data in actuators. The process of missing data is modeled by a discrete-time Markov chain with two state components. When no uncertainty exists in the controllers, a necessary and sufficient condition, which not only guarantees the exponential stability but also gives a lower bound on the decay rate, is established in terms of linear matrix inequalities (LMIs). Based on this condition, an LMI-based approach is provided to design a non-fragile state-feedback controller such that the closed-loop system is exponentially stable with a prescribed lower bound on the decay rate for the known missing data process and all admissible uncertainties in controllers. A numerical example is provided to show the effectiveness of the theoretical results. © 2009 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/59121
ISSN
2015 Impact Factor: 2.777
2015 SCImago Journal Rankings: 4.238
ISI Accession Number ID
Funding AgencyGrant Number
RGC7031/07P
Funding Information:

This work was supported in part by RGC 7031/07P. Recommended by Associate Editor M. Kothare.

References

 

DC FieldValueLanguage
dc.contributor.authorShu, Zen_HK
dc.contributor.authorLam, Jen_HK
dc.contributor.authorXiong, Jen_HK
dc.date.accessioned2010-05-31T03:43:13Z-
dc.date.available2010-05-31T03:43:13Z-
dc.date.issued2009en_HK
dc.identifier.citationIeee Transactions On Automatic Control, 2009, v. 54 n. 3, p. 625-630en_HK
dc.identifier.issn0018-9286en_HK
dc.identifier.urihttp://hdl.handle.net/10722/59121-
dc.description.abstractThis technical note is concerned with the non-fragile exponential stabilization for a class of discrete-time linear systems with missing data in actuators. The process of missing data is modeled by a discrete-time Markov chain with two state components. When no uncertainty exists in the controllers, a necessary and sufficient condition, which not only guarantees the exponential stability but also gives a lower bound on the decay rate, is established in terms of linear matrix inequalities (LMIs). Based on this condition, an LMI-based approach is provided to design a non-fragile state-feedback controller such that the closed-loop system is exponentially stable with a prescribed lower bound on the decay rate for the known missing data process and all admissible uncertainties in controllers. A numerical example is provided to show the effectiveness of the theoretical results. © 2009 IEEE.en_HK
dc.languageengen_HK
dc.publisherIEEE.en_HK
dc.relation.ispartofIEEE Transactions on Automatic Controlen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rightsIEEE Transactions on Automatic Control. Copyright © IEEE.-
dc.rights©2009 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.subjectExponential stabilityen_HK
dc.subjectLinear matrix inequality (LMI)en_HK
dc.subjectMarkov chainen_HK
dc.subjectMissing dataen_HK
dc.subjectNon-fragile controlen_HK
dc.titleNon-fragile exponential stability assignment of discrete-time linear systems with missing data in actuatorsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0018-9286&volume=54&issue=3&spage=625&epage=630&date=2009&atitle=Non-fragile+exponential+stability+assignment+of+discrete-time+linear+systems+with+missing+data+in+actuatorsen_HK
dc.identifier.emailLam, J:james.lam@hku.hken_HK
dc.identifier.authorityLam, J=rp00133en_HK
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1109/TAC.2008.2009598en_HK
dc.identifier.scopuseid_2-s2.0-63449142723en_HK
dc.identifier.hkuros164233en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-63449142723&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume54en_HK
dc.identifier.issue3en_HK
dc.identifier.spage625en_HK
dc.identifier.epage630en_HK
dc.identifier.isiWOS:000264397200022-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridShu, Z=25652150400en_HK
dc.identifier.scopusauthoridLam, J=7201973414en_HK
dc.identifier.scopusauthoridXiong, J=8546678700en_HK

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