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Conference Paper: H∞ model reduction for positive systems
Title | H∞ model reduction for positive systems |
---|---|
Authors | |
Keywords | Error systems Lyapunov matrix Model reduction problems Numerical example Original systems |
Issue Date | 2010 |
Publisher | American Automatic Control Council. |
Citation | The 2010 American Control Conference (ACC2010), Baltimore, MD., 30 June-2 July 2010. In American Control Conference Proceedings, 2010, p. 6244-6249 How to Cite? |
Abstract | This paper is concerned with the model reduction of positive systems. For a given stable positive system, our attention is focused on the construction of a reduced-order model in such a way that the positivity of the original system is preserved and the error system is stable with a prescribed H∞ performance. Based upon a system augmentation approach, a novel characterization on the stability with H∞ performance of the error system is first obtained in terms of linear matrix inequality (LMI). Then, a necessary and sufficient condition for the existence of a desired reduced-order model is derived accordingly. A significance of the proposed approach is that the reduced-order system matrices can be parametrized by a positive definite matrix with flexible structure, which is fully independent of the Lyapunov matrix; thus, the positivity constraint on the reduced-order system can be readily embedded in the model reduction problem. Finally, a numerical example is provided to show the effectiveness of the proposed techniques. |
Persistent Identifier | http://hdl.handle.net/10722/159019 |
ISBN | |
ISSN | 2023 SCImago Journal Rankings: 0.575 |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Li, P | en_US |
dc.contributor.author | Lam, J | en_US |
dc.contributor.author | Wang, Z | en_US |
dc.date.accessioned | 2012-08-08T09:05:10Z | - |
dc.date.available | 2012-08-08T09:05:10Z | - |
dc.date.issued | 2010 | en_US |
dc.identifier.citation | The 2010 American Control Conference (ACC2010), Baltimore, MD., 30 June-2 July 2010. In American Control Conference Proceedings, 2010, p. 6244-6249 | en_US |
dc.identifier.isbn | 978-1-4244-7427-1 | - |
dc.identifier.issn | 0743-1619 | - |
dc.identifier.uri | http://hdl.handle.net/10722/159019 | - |
dc.description.abstract | This paper is concerned with the model reduction of positive systems. For a given stable positive system, our attention is focused on the construction of a reduced-order model in such a way that the positivity of the original system is preserved and the error system is stable with a prescribed H∞ performance. Based upon a system augmentation approach, a novel characterization on the stability with H∞ performance of the error system is first obtained in terms of linear matrix inequality (LMI). Then, a necessary and sufficient condition for the existence of a desired reduced-order model is derived accordingly. A significance of the proposed approach is that the reduced-order system matrices can be parametrized by a positive definite matrix with flexible structure, which is fully independent of the Lyapunov matrix; thus, the positivity constraint on the reduced-order system can be readily embedded in the model reduction problem. Finally, a numerical example is provided to show the effectiveness of the proposed techniques. | en_US |
dc.language | eng | en_US |
dc.publisher | American Automatic Control Council. | - |
dc.relation.ispartof | American Control Conference Proceedings | en_US |
dc.subject | Error systems | - |
dc.subject | Lyapunov matrix | - |
dc.subject | Model reduction problems | - |
dc.subject | Numerical example | - |
dc.subject | Original systems | - |
dc.title | H∞ model reduction for positive systems | en_US |
dc.type | Conference_Paper | en_US |
dc.identifier.email | Lam, J: james.lam@hku.hk | en_US |
dc.identifier.authority | Lam, J=rp00133 | en_US |
dc.description.nature | published_or_final_version | en_US |
dc.identifier.scopus | eid_2-s2.0-77957765610 | en_US |
dc.identifier.hkuros | 179736 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-77957765610&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.spage | 6244 | en_US |
dc.identifier.epage | 6249 | en_US |
dc.publisher.place | United States | - |
dc.description.other | The 2010 American Control Conference (ACC2010), Baltimore, MD., 30 June-2 July 2010. In American Control Conference Proceedings, 2010, p. 6244-6249 | - |
dc.identifier.scopusauthorid | Wang, Z=35231712300 | en_US |
dc.identifier.scopusauthorid | Lam, J=7201973414 | en_US |
dc.identifier.scopusauthorid | Li, P=35069715100 | en_US |
dc.identifier.issnl | 0743-1619 | - |