Article: Impulsive synchronization of chaotic Lur'e systems by linear static measurement feedback: An LMI approach

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TitleImpulsive synchronization of chaotic Lur'e systems by linear static measurement feedback: An LMI approach
AuthorsLu, JG1
Hill, DJ2
KeywordsChaos
Impulsive Control
Linear Matrix Inequallities
Lur'e System
Synchronization
Issue Date2007
CitationIeee Transactions On Circuits And Systems Ii: Express Briefs, 2007, v. 54 n. 8, p. 710-714 [How to Cite?]
DOI: http://dx.doi.org/10.1109/TCSII.2007.898468
AbstractIn this brief, we consider impulsive control for master-slave synchronization schemes that consist of identical chaotic Lur'e systems. Impulsive control laws are investigated which make use of linear static measurement feedback, instead of full state feedback. A less conservative sufficient condition than existing results for global asymptotic impulsive synchronization is presented, in which synchronization is proven for the error between the full state vectors. And then an linear matrix inequality (LMI)-based approach for designing linear static output feedback impulsive control laws to globally asymptotically synchronize Lur'e chaotic systems is derived. With the help of the LMI solvers, we can easily obtain the linear output feedback impulsive controller and the bound of the impulsive interval for global asymptotic synchronization. The method is illustrated on Chua's circuit. © 2007 IEEE.
ISSN1057-7130
DOIhttp://dx.doi.org/10.1109/TCSII.2007.898468
ReferencesReferences in Scopus
DC Field
Value
dc.contributor.authorLu, JG
dc.contributor.authorHill, DJ
dc.date.accessioned2012-10-25T04:54:18Z
dc.date.available2012-10-25T04:54:18Z
dc.date.issued2007
dc.description.abstractIn this brief, we consider impulsive control for master-slave synchronization schemes that consist of identical chaotic Lur'e systems. Impulsive control laws are investigated which make use of linear static measurement feedback, instead of full state feedback. A less conservative sufficient condition than existing results for global asymptotic impulsive synchronization is presented, in which synchronization is proven for the error between the full state vectors. And then an linear matrix inequality (LMI)-based approach for designing linear static output feedback impulsive control laws to globally asymptotically synchronize Lur'e chaotic systems is derived. With the help of the LMI solvers, we can easily obtain the linear output feedback impulsive controller and the bound of the impulsive interval for global asymptotic synchronization. The method is illustrated on Chua's circuit. © 2007 IEEE.
dc.description.natureLink_to_subscribed_fulltext
dc.identifier.citationIeee Transactions On Circuits And Systems Ii: Express Briefs, 2007, v. 54 n. 8, p. 710-714 [How to Cite?]
DOI: http://dx.doi.org/10.1109/TCSII.2007.898468
dc.identifier.doihttp://dx.doi.org/10.1109/TCSII.2007.898468
dc.identifier.epage714
dc.identifier.issn1057-7130
dc.identifier.issue8
dc.identifier.scopuseid_2-s2.0-34547913095
dc.identifier.spage710
dc.identifier.urihttp://hdl.handle.net/10722/169704
dc.identifier.volume54
dc.languageeng
dc.publisher.placeUnited States
dc.relation.ispartofIEEE Transactions on Circuits and Systems II: Express Briefs
dc.relation.referencesReferences in Scopus
dc.subjectChaos
dc.subjectImpulsive Control
dc.subjectLinear Matrix Inequallities
dc.subjectLur'e System
dc.subjectSynchronization
dc.titleImpulsive synchronization of chaotic Lur'e systems by linear static measurement feedback: An LMI approach
dc.typeArticle
Author Affiliations
  1. Shanghai Jiaotong University
  2. Australian National University