File Download

There are no files associated with this item.

  Links for fulltext
     (May Require Subscription)
Supplementary

Article: A numerically reliable solution for the squaring-down problem in system design

TitleA numerically reliable solution for the squaring-down problem in system design
Authors
KeywordsCompensator
Infinite zero
Invariant zero
Orthogonal transformation
Squaring-down
Issue Date2004
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/apnum
Citation
Applied Numerical Mathematics, 2004, v. 51 n. 2-3, p. 221-241 How to Cite?
AbstractIn this paper, matrix pencil theory is used to study the squaring-down problem where a linear time-invariant system with an unequal number of inputs and outputs is turned into an invertible square system with an equal number of inputs and outputs. Both static and dynamic compensators are considered for squaring down. In the case of static compensation, the infinite-zero structure of the original system is preserved after squaring down. In the case of dynamic compensation, key system properties including stabilizability, detectability and the infinite-zero structure of the original system are also preserved after squaring down. Furthermore, one can additionally assign the invariant zeros induced by squaring down to the open left half plane, provided that the original system is stabilizable and detectable. This means that squaring down by dynamic compensation preserves minimum phaseness as well. The preservation of these system properties is highly desirable for subsequent feedback design of the squared-down system. Unlike existing squaring-down methods which do not address the issue of numerical properties, our solution is based on a condensed form derived using only orthogonal transformations which are numerically stable. Explicit formulas which can be implemented in a numerically reliable manner are given for determining the squaring-down compensators. Examples are presented to illustrate the numerical superiority of the proposed method. © 2004 IMACS. Publishesd by Elsevier B.V. All Rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/73669
ISSN
2014 Impact Factor: 1.221
2014 SCImago Journal Rankings: 1.268
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorChu, Den_HK
dc.contributor.authorHung, YSen_HK
dc.date.accessioned2010-09-06T06:53:37Z-
dc.date.available2010-09-06T06:53:37Z-
dc.date.issued2004en_HK
dc.identifier.citationApplied Numerical Mathematics, 2004, v. 51 n. 2-3, p. 221-241en_HK
dc.identifier.issn0168-9274en_HK
dc.identifier.urihttp://hdl.handle.net/10722/73669-
dc.description.abstractIn this paper, matrix pencil theory is used to study the squaring-down problem where a linear time-invariant system with an unequal number of inputs and outputs is turned into an invertible square system with an equal number of inputs and outputs. Both static and dynamic compensators are considered for squaring down. In the case of static compensation, the infinite-zero structure of the original system is preserved after squaring down. In the case of dynamic compensation, key system properties including stabilizability, detectability and the infinite-zero structure of the original system are also preserved after squaring down. Furthermore, one can additionally assign the invariant zeros induced by squaring down to the open left half plane, provided that the original system is stabilizable and detectable. This means that squaring down by dynamic compensation preserves minimum phaseness as well. The preservation of these system properties is highly desirable for subsequent feedback design of the squared-down system. Unlike existing squaring-down methods which do not address the issue of numerical properties, our solution is based on a condensed form derived using only orthogonal transformations which are numerically stable. Explicit formulas which can be implemented in a numerically reliable manner are given for determining the squaring-down compensators. Examples are presented to illustrate the numerical superiority of the proposed method. © 2004 IMACS. Publishesd by Elsevier B.V. All Rights reserved.en_HK
dc.languageengen_HK
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/apnumen_HK
dc.relation.ispartofApplied Numerical Mathematicsen_HK
dc.rightsApplied Numerical Mathematics. Copyright © Elsevier BV.en_HK
dc.subjectCompensatoren_HK
dc.subjectInfinite zeroen_HK
dc.subjectInvariant zeroen_HK
dc.subjectOrthogonal transformationen_HK
dc.subjectSquaring-downen_HK
dc.titleA numerically reliable solution for the squaring-down problem in system designen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0168-9274&volume=51 Issue 2-3&spage=221&epage=241&date=2004&atitle=A+numerically+reliable+solution+for+the+squaring-down+problem+in+system+designen_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/j.apnum.2004.01.013en_HK
dc.identifier.scopuseid_2-s2.0-5144222420en_HK
dc.identifier.hkuros101317en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-5144222420&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume51en_HK
dc.identifier.issue2-3en_HK
dc.identifier.spage221en_HK
dc.identifier.epage241en_HK
dc.identifier.isiWOS:000224593300005-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridChu, D=7201734138en_HK
dc.identifier.scopusauthoridHung, YS=8091656200en_HK

Export via OAI-PMH Interface in XML Formats


OR


Export to Other Non-XML Formats