Article: Hankel norm approximation of linear systems with time-varying delay: Continuous and discrete cases
| Title | Hankel norm approximation of linear systems with time-varying delay: Continuous and discrete cases |
|---|---|
| Authors | Gao, H2 Lam, J1 Wang, C2 Wang, Q1 |
| Issue Date | 2004 |
| Publisher | Taylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00207179.asp |
| Citation | International Journal Of Control, 2004, v. 77 n. 17, p. 1503-1520 [How to Cite?] DOI: http://dx.doi.org/10.1080/00207170412331323641 |
| Abstract | This paper investigates the problem of Hankel norm model reduction for linear systems with time-varying delay in the state. For a given stable system, our attention is focused on the construction of reduced-order model, which guarantees the corresponding error system to be asymptotically stable and has a specified Hankel norm error performance. Two different approaches are proposed to solve this problem. One casts the model reduction into a convex optimization problem by using a linearization procedure, and the other is based on the cone complementarity linearization idea, which casts the model reduction into a sequential minimization problem subject to linear matrix inequality constraints. Both continuous and discrete time cases are considered. A numerical example is provided to show the effectiveness of the proposed theory. |
| ISSN | 0020-7179 2011 Impact Factor: 0.977 2011 SCImago Journal Rankings: 0.053 |
| DOI | http://dx.doi.org/10.1080/00207170412331323641 |
| ISI Accession Number ID | WOS:000226138400006 |
| References | References in Scopus |
| dc.contributor.author | Gao, H |
|---|---|
| dc.contributor.author | Lam, J |
| dc.contributor.author | Wang, C |
| dc.contributor.author | Wang, Q |
| dc.date.accessioned | 2012-08-08T08:43:43Z |
| dc.date.available | 2012-08-08T08:43:43Z |
| dc.date.issued | 2004 |
| dc.description.abstract | This paper investigates the problem of Hankel norm model reduction for linear systems with time-varying delay in the state. For a given stable system, our attention is focused on the construction of reduced-order model, which guarantees the corresponding error system to be asymptotically stable and has a specified Hankel norm error performance. Two different approaches are proposed to solve this problem. One casts the model reduction into a convex optimization problem by using a linearization procedure, and the other is based on the cone complementarity linearization idea, which casts the model reduction into a sequential minimization problem subject to linear matrix inequality constraints. Both continuous and discrete time cases are considered. A numerical example is provided to show the effectiveness of the proposed theory. |
| dc.description.nature | Link_to_subscribed_fulltext |
| dc.identifier.citation | International Journal Of Control, 2004, v. 77 n. 17, p. 1503-1520 [How to Cite?] DOI: http://dx.doi.org/10.1080/00207170412331323641 |
| dc.identifier.citeulike | 85036 |
| dc.identifier.doi | http://dx.doi.org/10.1080/00207170412331323641 |
| dc.identifier.epage | 1520 |
| dc.identifier.isi | WOS:000226138400006 |
| dc.identifier.issn | 0020-7179 2011 Impact Factor: 0.977 2011 SCImago Journal Rankings: 0.053 |
| dc.identifier.issue | 17 |
| dc.identifier.scopus | eid_2-s2.0-11144292055 |
| dc.identifier.spage | 1503 |
| dc.identifier.uri | http://hdl.handle.net/10722/156726 |
| dc.identifier.volume | 77 |
| dc.language | eng |
| dc.publisher | Taylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00207179.asp |
| dc.publisher.place | United Kingdom |
| dc.relation.ispartof | International Journal of Control |
| dc.relation.references | References in Scopus |
| dc.title | Hankel norm approximation of linear systems with time-varying delay: Continuous and discrete cases |
| dc.type | Article |
Author Affiliations
- The University of Hong Kong
- Harbin Institute of Technology