Article: Semi-global stabilization of linear time-delay systems with control energy constraint
| Title | Semi-global stabilization of linear time-delay systems with control energy constraint | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Authors | Zhou, B3 Lin, Z1 Lam, J2 | ||||||||||
| Keywords | Circular orbit Control energy Energy constraint Input delays Linear time-delay system | ||||||||||
| Issue Date | 2012 | ||||||||||
| Publisher | Pergamon. The Journal's web site is located at http://www.elsevier.com/locate/automatica | ||||||||||
| Citation | Automatica, 2012, v. 48 n. 4, p. 694-698 [How to Cite?] DOI: http://dx.doi.org/10.1016/j.automatica.2012.01.011 | ||||||||||
| Abstract | This 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. | ||||||||||
| ISSN | 0005-1098 2011 Impact Factor: 2.829 2011 SCImago Journal Rankings: 0.111 | ||||||||||
| DOI | http://dx.doi.org/10.1016/j.automatica.2012.01.011 | ||||||||||
| ISI Accession Number ID | WOS:000302766400016
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. | ||||||||||
| References | References in Scopus |
| dc.contributor.author | Zhou, B | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| dc.contributor.author | Lin, Z | ||||||||||
| dc.contributor.author | Lam, J | ||||||||||
| dc.date.accessioned | 2012-08-08T08:45:40Z | ||||||||||
| dc.date.available | 2012-08-08T08:45:40Z | ||||||||||
| dc.date.issued | 2012 | ||||||||||
| dc.description.abstract | This 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.nature | Link_to_subscribed_fulltext | ||||||||||
| dc.identifier.citation | Automatica, 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.citeulike | 10365263 | ||||||||||
| dc.identifier.doi | http://dx.doi.org/10.1016/j.automatica.2012.01.011 | ||||||||||
| dc.identifier.epage | 698 | ||||||||||
| dc.identifier.hkuros | 208804 | ||||||||||
| dc.identifier.isi | WOS:000302766400016
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.issn | 0005-1098 2011 Impact Factor: 2.829 2011 SCImago Journal Rankings: 0.111 | ||||||||||
| dc.identifier.issue | 4 | ||||||||||
| dc.identifier.scopus | eid_2-s2.0-84858152893 | ||||||||||
| dc.identifier.spage | 694 | ||||||||||
| dc.identifier.uri | http://hdl.handle.net/10722/157178 | ||||||||||
| dc.identifier.volume | 48 | ||||||||||
| dc.language | eng | ||||||||||
| dc.publisher | Pergamon. The Journal's web site is located at http://www.elsevier.com/locate/automatica | ||||||||||
| dc.publisher.place | United Kingdom | ||||||||||
| dc.relation.ispartof | Automatica | ||||||||||
| dc.relation.references | References in Scopus | ||||||||||
| dc.subject | Circular orbit | ||||||||||
| dc.subject | Control energy | ||||||||||
| dc.subject | Energy constraint | ||||||||||
| dc.subject | Input delays | ||||||||||
| dc.subject | Linear time-delay system | ||||||||||
| dc.title | Semi-global stabilization of linear time-delay systems with control energy constraint | ||||||||||
| dc.type | Article |
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