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Article: Control and filtering for discrete linear repetitive processes with ℋ∞ and ℓ 2-ℓ ∞ performance

TitleControl and filtering for discrete linear repetitive processes with ℋ∞ and ℓ 2-ℓ ∞ performance
Authors
KeywordsControl
Discrete Time
Filtering
Lyapunov Method
Repetitive Process
Issue Date2009
PublisherSpringer New York LLC. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0923-6082
Citation
Multidimensional Systems And Signal Processing, 2009, v. 20 n. 3, p. 235-264 How to Cite?
AbstractRepetitive processes are characterized by a~series of sweeps, termed passes, through a set of dynamics defined over a finite duration known as the pass length. On each pass an output, termed the pass profile, is produced which acts as a forcing function on, and hence contributes to, the dynamics of the next pass profile. This can lead to oscillations which increase in amplitude in the pass to pass direction and cannot be controlled by standard control laws. Here we give new results on the design of physically based control laws for the sub-class of so-called discrete linear repetitive processes which arise in applications areas such as iterative learning control. The main contribution is to show how control law design can be undertaken within the framework of a general robust filtering problem with guaranteed levels of performance. In particular, we develop algorithms for the design of an ℋ∞ and ℓ 2-ℓ ∞ dynamic output feedback controller and filter which guarantees that the resulting controlled (filtering error) process, respectively, is stable along the pass and has prescribed disturbance attenuation performance as measured by ℋ∞ and ℓ 2-ℓ ∞ norms. © 2008 Springer Science+Business Media, LLC.
Persistent Identifierhttp://hdl.handle.net/10722/157014
ISSN
2015 Impact Factor: 1.436
2015 SCImago Journal Rankings: 0.768
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorWu, Len_US
dc.contributor.authorLam, Jen_US
dc.contributor.authorPaszke, Wen_US
dc.contributor.authorGałkowski, Ken_US
dc.contributor.authorRogers, Een_US
dc.contributor.authorKummert, Aen_US
dc.date.accessioned2012-08-08T08:44:57Z-
dc.date.available2012-08-08T08:44:57Z-
dc.date.issued2009en_US
dc.identifier.citationMultidimensional Systems And Signal Processing, 2009, v. 20 n. 3, p. 235-264en_US
dc.identifier.issn0923-6082en_US
dc.identifier.urihttp://hdl.handle.net/10722/157014-
dc.description.abstractRepetitive processes are characterized by a~series of sweeps, termed passes, through a set of dynamics defined over a finite duration known as the pass length. On each pass an output, termed the pass profile, is produced which acts as a forcing function on, and hence contributes to, the dynamics of the next pass profile. This can lead to oscillations which increase in amplitude in the pass to pass direction and cannot be controlled by standard control laws. Here we give new results on the design of physically based control laws for the sub-class of so-called discrete linear repetitive processes which arise in applications areas such as iterative learning control. The main contribution is to show how control law design can be undertaken within the framework of a general robust filtering problem with guaranteed levels of performance. In particular, we develop algorithms for the design of an ℋ∞ and ℓ 2-ℓ ∞ dynamic output feedback controller and filter which guarantees that the resulting controlled (filtering error) process, respectively, is stable along the pass and has prescribed disturbance attenuation performance as measured by ℋ∞ and ℓ 2-ℓ ∞ norms. © 2008 Springer Science+Business Media, LLC.en_US
dc.languageengen_US
dc.publisherSpringer New York LLC. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0923-6082en_US
dc.relation.ispartofMultidimensional Systems and Signal Processingen_US
dc.subjectControlen_US
dc.subjectDiscrete Timeen_US
dc.subjectFilteringen_US
dc.subjectLyapunov Methoden_US
dc.subjectRepetitive Processen_US
dc.titleControl and filtering for discrete linear repetitive processes with ℋ∞ and ℓ 2-ℓ ∞ performanceen_US
dc.typeArticleen_US
dc.identifier.emailLam, J:james.lam@hku.hken_US
dc.identifier.authorityLam, J=rp00133en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1007/s11045-008-0061-4en_US
dc.identifier.scopuseid_2-s2.0-67650489520en_US
dc.identifier.hkuros179592-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-67650489520&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume20en_US
dc.identifier.issue3en_US
dc.identifier.spage235en_US
dc.identifier.epage264en_US
dc.identifier.isiWOS:000268245800004-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridWu, L=15062089100en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US
dc.identifier.scopusauthoridPaszke, W=6602647840en_US
dc.identifier.scopusauthoridGałkowski, K=7003620439en_US
dc.identifier.scopusauthoridRogers, E=7202060289en_US
dc.identifier.scopusauthoridKummert, A=7003293794en_US
dc.identifier.citeulike3625692-

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