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Article: Semi-global stabilization of linear time-delay systems with control energy constraint
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TitleSemi-global stabilization of linear time-delay systems with control energy constraint
 
AuthorsZhou, B3
Lin, Z1
Lam, J2
 
KeywordsCircular orbit
Control energy
Energy constraint
Input delays
Linear time-delay system
 
Issue Date2012
 
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/automatica
 
CitationAutomatica, 2012, v. 48 n. 4, p. 694-698 [How to Cite?]
DOI: http://dx.doi.org/10.1016/j.automatica.2012.01.011
 
AbstractThis note is concerned with the problem of semi-globally stabilizing a linear system with an input delay and a constraint on the energy of its input. Under the condition of null controllability with vanishing energy, the parametric Lyapunov equation based L2 low gain feedback is adopted to solve the problem. The proposed approach is applied to the linearized model of the relative motion in the orbit plane of a spacecraft with respect to another spacecraft in a circular orbit around the Earth to validate its effectiveness. © 2012 Elsevier Ltd. All rights reserved.
 
ISSN0005-1098
2013 Impact Factor: 3.132
2013 SCImago Journal Rankings: 2.717
 
DOIhttp://dx.doi.org/10.1016/j.automatica.2012.01.011
 
ISI Accession Number IDWOS:000302766400016
Funding AgencyGrant Number
National Natural Science Foundation of China60904007
61104124
60825303
China Postdoctoral Science Foundation20100480059
201104436
National Science Foundation of the United StatesCMMI-1129752
GRF HKU7140/11E
Funding Information:

This work was supported in part by the National Natural Science Foundation of China under grant numbers 60904007, 61104124, and 60825303, by the China Postdoctoral Science Foundation funded project under grants 20100480059 and 201104436, by the National Science Foundation of the United States under grant number CMMI-1129752. and by GRF HKU 7140/11E. The material in this paper was presented at the 18th IFAC World Congress, August 28-September 2, 2011, Milano, Italy. This paper was recommended for publication in revised form by Associate Editor Emilia Fridman under the direction of Editor Andre L. Tits.

 
ReferencesReferences in Scopus
 
DC FieldValue
dc.contributor.authorZhou, B
 
dc.contributor.authorLin, Z
 
dc.contributor.authorLam, J
 
dc.date.accessioned2012-08-08T08:45:40Z
 
dc.date.available2012-08-08T08:45:40Z
 
dc.date.issued2012
 
dc.description.abstractThis note is concerned with the problem of semi-globally stabilizing a linear system with an input delay and a constraint on the energy of its input. Under the condition of null controllability with vanishing energy, the parametric Lyapunov equation based L2 low gain feedback is adopted to solve the problem. The proposed approach is applied to the linearized model of the relative motion in the orbit plane of a spacecraft with respect to another spacecraft in a circular orbit around the Earth to validate its effectiveness. © 2012 Elsevier Ltd. All rights reserved.
 
dc.description.naturelink_to_subscribed_fulltext
 
dc.identifier.citationAutomatica, 2012, v. 48 n. 4, p. 694-698 [How to Cite?]
DOI: http://dx.doi.org/10.1016/j.automatica.2012.01.011
 
dc.identifier.citeulike10365263
 
dc.identifier.doihttp://dx.doi.org/10.1016/j.automatica.2012.01.011
 
dc.identifier.epage698
 
dc.identifier.hkuros208804
 
dc.identifier.isiWOS:000302766400016
Funding AgencyGrant Number
National Natural Science Foundation of China60904007
61104124
60825303
China Postdoctoral Science Foundation20100480059
201104436
National Science Foundation of the United StatesCMMI-1129752
GRF HKU7140/11E
Funding Information:

This work was supported in part by the National Natural Science Foundation of China under grant numbers 60904007, 61104124, and 60825303, by the China Postdoctoral Science Foundation funded project under grants 20100480059 and 201104436, by the National Science Foundation of the United States under grant number CMMI-1129752. and by GRF HKU 7140/11E. The material in this paper was presented at the 18th IFAC World Congress, August 28-September 2, 2011, Milano, Italy. This paper was recommended for publication in revised form by Associate Editor Emilia Fridman under the direction of Editor Andre L. Tits.

 
dc.identifier.issn0005-1098
2013 Impact Factor: 3.132
2013 SCImago Journal Rankings: 2.717
 
dc.identifier.issue4
 
dc.identifier.scopuseid_2-s2.0-84858152893
 
dc.identifier.spage694
 
dc.identifier.urihttp://hdl.handle.net/10722/157178
 
dc.identifier.volume48
 
dc.languageeng
 
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/automatica
 
dc.publisher.placeUnited Kingdom
 
dc.relation.ispartofAutomatica
 
dc.relation.referencesReferences in Scopus
 
dc.subjectCircular orbit
 
dc.subjectControl energy
 
dc.subjectEnergy constraint
 
dc.subjectInput delays
 
dc.subjectLinear time-delay system
 
dc.titleSemi-global stabilization of linear time-delay systems with control energy constraint
 
dc.typeArticle
 
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Author Affiliations
  1. University of Virginia
  2. The University of Hong Kong
  3. Harbin Institute of Technology