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- Publisher Website: 10.1109/CCDC.2012.6244014
- Scopus: eid_2-s2.0-84866705207
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Conference Paper: Controller synthesis for positive systems under ℓ 1-induced performance
Title | Controller synthesis for positive systems under ℓ 1-induced performance |
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Authors | |
Keywords | ℓ 1-induced performance Iterative algorithm Linear lyapunov functions Positive systems Analytical method |
Issue Date | 2012 |
Publisher | IEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1002339 |
Citation | The 24th Chinese Control and Decision Conference (CCDC 2012), Taiyuan, China, 23-25 May 2012. In 24th CCDC Proceedings, 2012, p. 92-97 How to Cite? |
Abstract | In this paper, we investigate the problem of controller design for positive systems with the use of linear Lyapunov function. We first present an analytical method to compute the exact value of the ℓ 1-induced norm. Then, we propose a novel characterization under which discrete positive system is asymptotically stable with a prescribed ℓ 1-induced performance. Based on the characterization, a necessary and sufficient condition for the existence of desired controllers is presented, and an iterative linear matrix inequality approach is developed to solve the design condition. Finally, a numerical example is given to illustrate the effectiveness of the proposed theoretical results. © 2012 IEEE. |
Persistent Identifier | http://hdl.handle.net/10722/166896 |
ISBN |
DC Field | Value | Language |
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dc.contributor.author | Chen, X | en_US |
dc.contributor.author | Lam, J | en_US |
dc.contributor.author | Li, P | en_US |
dc.contributor.author | Shu, Z | en_US |
dc.date.accessioned | 2012-09-21T01:43:29Z | - |
dc.date.available | 2012-09-21T01:43:29Z | - |
dc.date.issued | 2012 | en_US |
dc.identifier.citation | The 24th Chinese Control and Decision Conference (CCDC 2012), Taiyuan, China, 23-25 May 2012. In 24th CCDC Proceedings, 2012, p. 92-97 | en_US |
dc.identifier.isbn | 978-1-4577-2074-1 | - |
dc.identifier.uri | http://hdl.handle.net/10722/166896 | - |
dc.description.abstract | In this paper, we investigate the problem of controller design for positive systems with the use of linear Lyapunov function. We first present an analytical method to compute the exact value of the ℓ 1-induced norm. Then, we propose a novel characterization under which discrete positive system is asymptotically stable with a prescribed ℓ 1-induced performance. Based on the characterization, a necessary and sufficient condition for the existence of desired controllers is presented, and an iterative linear matrix inequality approach is developed to solve the design condition. Finally, a numerical example is given to illustrate the effectiveness of the proposed theoretical results. © 2012 IEEE. | - |
dc.language | eng | en_US |
dc.publisher | IEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1002339 | - |
dc.relation.ispartof | Chinese Control and Decision Conference Proceedings | en_US |
dc.subject | ℓ 1-induced performance | - |
dc.subject | Iterative algorithm | - |
dc.subject | Linear lyapunov functions | - |
dc.subject | Positive systems | - |
dc.subject | Analytical method | - |
dc.title | Controller synthesis for positive systems under ℓ 1-induced performance | en_US |
dc.type | Conference_Paper | en_US |
dc.identifier.email | Chen, X: xmingchen@hku.hk | en_US |
dc.identifier.email | Lam, J: james.lam@hku.hk | - |
dc.identifier.email | Li, P: pinglime@hku.hk | - |
dc.identifier.email | Shu, Z: z.shu@soton.ac.uk | - |
dc.identifier.authority | Lam, J=rp00133 | en_US |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1109/CCDC.2012.6244014 | - |
dc.identifier.scopus | eid_2-s2.0-84866705207 | - |
dc.identifier.hkuros | 208817 | en_US |
dc.identifier.spage | 92 | en_US |
dc.identifier.epage | 97 | en_US |
dc.publisher.place | United States | - |
dc.customcontrol.immutable | sml 130510 | - |