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Article: A numerical solution for the simultaneous disturbance decoupling and row-by-row decoupling problem

TitleA numerical solution for the simultaneous disturbance decoupling and row-by-row decoupling problem
Authors
Keywords65F35
93B05
93B40
93B52
Disturbance decoupling
Numerical computation
Orthogonal transformation
Row-by-row decoupling
Issue Date2000
PublisherElsevier Inc. The Journal's web site is located at http://www.elsevier.com/locate/laa
Citation
Linear Algebra And Its Applications, 2000, v. 320 n. 1-3, p. 37-49 How to Cite?
AbstractThe numerical computation of the simultaneous disturbance decoupling and row-by-row decoupling problem is considered. Based on a condensed form for the system matrices the solvability of the simultaneous disturbance decoupling and row-by-row decoupling problem is reduced to the verification of an integer equality and the nonsingularity of a lower-dimensional constant matrix. The condensed form we use is computed using only orthogonal transformations, which can be implemented in a numerically stable way. Hence, it leads directly to an effective numerical method for solving the disturbance decoupling and row-by-row decoupling problem using existing tools such as LAPACK and Matlab. Our result complements existing geometric and structural approaches which are of a theoretical nature and are not suitable for numerical computation. © 2000 Elsevier Science Inc.
Persistent Identifierhttp://hdl.handle.net/10722/73653
ISSN
2015 Impact Factor: 0.965
2015 SCImago Journal Rankings: 0.837
References

 

DC FieldValueLanguage
dc.contributor.authorChu, Den_HK
dc.contributor.authorHung, YSen_HK
dc.date.accessioned2010-09-06T06:53:27Z-
dc.date.available2010-09-06T06:53:27Z-
dc.date.issued2000en_HK
dc.identifier.citationLinear Algebra And Its Applications, 2000, v. 320 n. 1-3, p. 37-49en_HK
dc.identifier.issn0024-3795en_HK
dc.identifier.urihttp://hdl.handle.net/10722/73653-
dc.description.abstractThe numerical computation of the simultaneous disturbance decoupling and row-by-row decoupling problem is considered. Based on a condensed form for the system matrices the solvability of the simultaneous disturbance decoupling and row-by-row decoupling problem is reduced to the verification of an integer equality and the nonsingularity of a lower-dimensional constant matrix. The condensed form we use is computed using only orthogonal transformations, which can be implemented in a numerically stable way. Hence, it leads directly to an effective numerical method for solving the disturbance decoupling and row-by-row decoupling problem using existing tools such as LAPACK and Matlab. Our result complements existing geometric and structural approaches which are of a theoretical nature and are not suitable for numerical computation. © 2000 Elsevier Science Inc.en_HK
dc.languageengen_HK
dc.publisherElsevier Inc. The Journal's web site is located at http://www.elsevier.com/locate/laaen_HK
dc.relation.ispartofLinear Algebra and Its Applicationsen_HK
dc.rightsLinear Algebra and Its Applications. Copyright © Elsevier Inc.en_HK
dc.subject65F35en_HK
dc.subject93B05en_HK
dc.subject93B40en_HK
dc.subject93B52en_HK
dc.subjectDisturbance decouplingen_HK
dc.subjectNumerical computationen_HK
dc.subjectOrthogonal transformationen_HK
dc.subjectRow-by-row decouplingen_HK
dc.titleA numerical solution for the simultaneous disturbance decoupling and row-by-row decoupling problemen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0024-3795&volume=320&spage=37&epage=49&date=2000&atitle=A+numerical+solution+for+the+simultaneous+disturbance+decoupling+and+row-by-row+decoupling+problemen_HK
dc.identifier.emailHung, YS:yshung@eee.hku.hken_HK
dc.identifier.authorityHung, YS=rp00220en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/S0024-3795(00)00194-4-
dc.identifier.scopuseid_2-s2.0-0034367390en_HK
dc.identifier.hkuros63391en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0034367390&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume320en_HK
dc.identifier.issue1-3en_HK
dc.identifier.spage37en_HK
dc.identifier.epage49en_HK
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridChu, D=7201734138en_HK
dc.identifier.scopusauthoridHung, YS=8091656200en_HK

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