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Conference Paper: LMI based stability analysis and controller design for a class of 2D discrete linear systems

TitleLMI based stability analysis and controller design for a class of 2D discrete linear systems
Authors
KeywordsTechnology: comprehensive works
Issue Date2001
PublisherIEEE. The Journal's web site is located at http://www.ieeecss.org
Citation
Proceedings Of The Ieee Conference On Decision And Control, 2001, v. 5, p. 4457-4462 How to Cite?
AbstractDiscrete linear repetitive processes are a distinct class of 2D linear systems with applications in areas ranging from long-wall coal cutting through to iterative learning control schemes. The main feature which makes them distinct from other classes of 2D linear systems is that information propagation in one of the two distinct directions only occurs over a finite duration. In this paper we give an LMI based interpretation of stability for the sub-class of so-called discrete linear repetitive processes, both open loop and closed loop under a well defined practically relevant control law, and then apply this theory to solve currently open problems relating to robustness and stability margins for these processes. Also it is shown that the LMI approach to the computation of the stability margins for these processes can be combined with the recently developed concept of a pole for them to link these margins to expected performance - a key feature which is missing from the analysis of stability margins currently available in the 2D systems literature.
Persistent Identifierhttp://hdl.handle.net/10722/46667
ISSN
References

 

DC FieldValueLanguage
dc.contributor.authorRogers, Een_HK
dc.contributor.authorLam, Jen_HK
dc.contributor.authorGalkowski, Ken_HK
dc.contributor.authorXu, Sen_HK
dc.contributor.authorWood, Jen_HK
dc.contributor.authorOwens, DHen_HK
dc.date.accessioned2007-10-30T06:55:28Z-
dc.date.available2007-10-30T06:55:28Z-
dc.date.issued2001en_HK
dc.identifier.citationProceedings Of The Ieee Conference On Decision And Control, 2001, v. 5, p. 4457-4462en_HK
dc.identifier.issn0191-2216en_HK
dc.identifier.urihttp://hdl.handle.net/10722/46667-
dc.description.abstractDiscrete linear repetitive processes are a distinct class of 2D linear systems with applications in areas ranging from long-wall coal cutting through to iterative learning control schemes. The main feature which makes them distinct from other classes of 2D linear systems is that information propagation in one of the two distinct directions only occurs over a finite duration. In this paper we give an LMI based interpretation of stability for the sub-class of so-called discrete linear repetitive processes, both open loop and closed loop under a well defined practically relevant control law, and then apply this theory to solve currently open problems relating to robustness and stability margins for these processes. Also it is shown that the LMI approach to the computation of the stability margins for these processes can be combined with the recently developed concept of a pole for them to link these margins to expected performance - a key feature which is missing from the analysis of stability margins currently available in the 2D systems literature.en_HK
dc.format.extent291256 bytes-
dc.format.extent10566 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypetext/plain-
dc.languageengen_HK
dc.publisherIEEE. The Journal's web site is located at http://www.ieeecss.orgen_HK
dc.relation.ispartofProceedings of the IEEE Conference on Decision and Controlen_HK
dc.rights©2001 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.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectTechnology: comprehensive worksen_HK
dc.titleLMI based stability analysis and controller design for a class of 2D discrete linear systemsen_HK
dc.typeConference_Paperen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0743-1546&volume=5&spage=4457&epage=4462&date=2001&atitle=LMI+based+stability+analysis+and+controller+design+for+a+class+of+2D+discrete+linear+systemsen_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/.2001.980904en_HK
dc.identifier.scopuseid_2-s2.0-0035707238en_HK
dc.identifier.hkuros70451-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0035707238&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume5en_HK
dc.identifier.spage4457en_HK
dc.identifier.epage4462en_HK
dc.identifier.scopusauthoridRogers, E=7202060289en_HK
dc.identifier.scopusauthoridLam, J=7201973414en_HK
dc.identifier.scopusauthoridGalkowski, K=7003620439en_HK
dc.identifier.scopusauthoridXu, S=7404438591en_HK
dc.identifier.scopusauthoridWood, J=7404353740en_HK
dc.identifier.scopusauthoridOwens, DH=7401549935en_HK

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