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Article: LMIs - A fundamental tool in analysis and controller design for discrete linear repetitive processes

TitleLMIs - A fundamental tool in analysis and controller design for discrete linear repetitive processes
Authors
KeywordsLinear matrix inequalities
Repetitive processes
Stability and control
Issue Date2002
PublisherIEEE.
Citation
Ieee Transactions On Circuits And Systems I: Fundamental Theory And Applications, 2002, v. 49 n. 6, p. 768-778 How to Cite?
AbstractDiscrete linear repetitive processes are a distinct class of two-dimensional (2-D) linear systems with applications in areas ranging from long-wall coal cutting through to iterative learning control schemes. The feature which makes them distinct from other classes of 2-D linear systems is that information propagation in one of the two distinct directions only occurs over a finite durations. This, in turn, means that a distinct systems theory must be developed for them. In this paper, an LMI approach is used to produce highly significant new results on the stability analysis of these processes and the design of control schemes for them. These results are, in the main, for processes with singular dynamics and for those with so-called dynamic boundary conditions. Unlike other classes of 2-D linear systems, these feedback control laws have a firm physical basis, and the LMI setting is also shown to provide a (potentially) very powerful setting in which to characterize the robustness properties of these processes.
Persistent Identifierhttp://hdl.handle.net/10722/44946
ISSN
2006 Impact Factor: 1.139
2006 SCImago Journal Rankings: 1.111
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorGalkowski, Ken_HK
dc.contributor.authorRogers, Een_HK
dc.contributor.authorXu, Sen_HK
dc.contributor.authorLam, Jen_HK
dc.contributor.authorOwens, DHen_HK
dc.date.accessioned2007-10-30T06:14:03Z-
dc.date.available2007-10-30T06:14:03Z-
dc.date.issued2002en_HK
dc.identifier.citationIeee Transactions On Circuits And Systems I: Fundamental Theory And Applications, 2002, v. 49 n. 6, p. 768-778en_HK
dc.identifier.issn1057-7122en_HK
dc.identifier.urihttp://hdl.handle.net/10722/44946-
dc.description.abstractDiscrete linear repetitive processes are a distinct class of two-dimensional (2-D) linear systems with applications in areas ranging from long-wall coal cutting through to iterative learning control schemes. The feature which makes them distinct from other classes of 2-D linear systems is that information propagation in one of the two distinct directions only occurs over a finite durations. This, in turn, means that a distinct systems theory must be developed for them. In this paper, an LMI approach is used to produce highly significant new results on the stability analysis of these processes and the design of control schemes for them. These results are, in the main, for processes with singular dynamics and for those with so-called dynamic boundary conditions. Unlike other classes of 2-D linear systems, these feedback control laws have a firm physical basis, and the LMI setting is also shown to provide a (potentially) very powerful setting in which to characterize the robustness properties of these processes.en_HK
dc.format.extent353386 bytes-
dc.format.extent10566 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypetext/plain-
dc.languageengen_HK
dc.publisherIEEE.en_HK
dc.relation.ispartofIEEE Transactions on Circuits and Systems I: Fundamental Theory and Applicationsen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rights©2002 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.en_HK
dc.subjectLinear matrix inequalitiesen_HK
dc.subjectRepetitive processesen_HK
dc.subjectStability and controlen_HK
dc.titleLMIs - A fundamental tool in analysis and controller design for discrete linear repetitive processesen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1057-7122&volume=49&issue=6&spage=768&epage=778&date=2002&atitle=LMIs+-+a+fundamental+tool+in+analysis+and+controller+design+for+discrete+linear+repetitive+processesen_HK
dc.identifier.emailLam, J:james.lam@hku.hken_HK
dc.identifier.authorityLam, J=rp00133en_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1109/TCSI.2002.1010032en_HK
dc.identifier.scopuseid_2-s2.0-0036600861en_HK
dc.identifier.hkuros70433-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0036600861&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume49en_HK
dc.identifier.issue6en_HK
dc.identifier.spage768en_HK
dc.identifier.epage778en_HK
dc.identifier.isiWOS:000176255700007-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridGalkowski, K=7003620439en_HK
dc.identifier.scopusauthoridRogers, E=7202060289en_HK
dc.identifier.scopusauthoridXu, S=7404438591en_HK
dc.identifier.scopusauthoridLam, J=7201973414en_HK
dc.identifier.scopusauthoridOwens, DH=7401549935en_HK

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