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Conference Paper: On exact exponential stability assignment of retarded delay systems via static output-feedback controllers
Title | On exact exponential stability assignment of retarded delay systems via static output-feedback controllers |
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Authors | |
Keywords | Augmentation Exponential stability Linear matrix inequality (LMI) Lyapunov-Krasovskii functional Retarded delay systems Static output-feedback |
Issue Date | 2009 |
Publisher | WSEAS Press. The Proceedings' web site is located at http://www.worldses.org/online/2009.htm |
Citation | The 10th WSEAS International Conference on Automation and Information (ICAI'09), Prague, Czech Republic, 23-25 March 2009. In Recent Advances in Automation & Information, 2009, p. 58-63 How to Cite? |
Abstract | This paper addresses the static output-feedback (SOF) exponential stabilization problem of retarded delay systems with a specification on the decay rate and decay coefficient. A novel Lyapunov-Krasovskii functional equipped with appropriate exponential terms is provided to establish a new condition for exponential stability. Based on this and an augmentation technique, a necessary and sufficient condition for quadratic SOF exact exponential stabilizability is proposed. An efficient iteration algorithm is then given to solve the proposed condition. Using the proposed approach, no structural constraints are imposed on the slack matrices when the controller matrix is parameterized, and the obtained controller not only stabilizes the original system but also guarantees that the closed-loop system possess desirable transient properties. Numerical examples are used to show the effectiveness of the theoretical results. |
Persistent Identifier | http://hdl.handle.net/10722/62273 |
ISBN | |
ISSN |
DC Field | Value | Language |
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dc.contributor.author | Shu, Z | en_HK |
dc.contributor.author | Lam, J | en_HK |
dc.date.accessioned | 2010-07-13T03:57:39Z | - |
dc.date.available | 2010-07-13T03:57:39Z | - |
dc.date.issued | 2009 | en_HK |
dc.identifier.citation | The 10th WSEAS International Conference on Automation and Information (ICAI'09), Prague, Czech Republic, 23-25 March 2009. In Recent Advances in Automation & Information, 2009, p. 58-63 | en_HK |
dc.identifier.isbn | 978-960-474-064-2 | - |
dc.identifier.issn | 1790-5117 | - |
dc.identifier.uri | http://hdl.handle.net/10722/62273 | - |
dc.description.abstract | This paper addresses the static output-feedback (SOF) exponential stabilization problem of retarded delay systems with a specification on the decay rate and decay coefficient. A novel Lyapunov-Krasovskii functional equipped with appropriate exponential terms is provided to establish a new condition for exponential stability. Based on this and an augmentation technique, a necessary and sufficient condition for quadratic SOF exact exponential stabilizability is proposed. An efficient iteration algorithm is then given to solve the proposed condition. Using the proposed approach, no structural constraints are imposed on the slack matrices when the controller matrix is parameterized, and the obtained controller not only stabilizes the original system but also guarantees that the closed-loop system possess desirable transient properties. Numerical examples are used to show the effectiveness of the theoretical results. | - |
dc.language | eng | en_HK |
dc.publisher | WSEAS Press. The Proceedings' web site is located at http://www.worldses.org/online/2009.htm | en_HK |
dc.relation.ispartof | Recent Advances in Automation & Information: proceedings of the 10th WSEAS International Conference on Automation and Information (ICAI'09) | - |
dc.subject | Augmentation | - |
dc.subject | Exponential stability | - |
dc.subject | Linear matrix inequality (LMI) | - |
dc.subject | Lyapunov-Krasovskii functional | - |
dc.subject | Retarded delay systems | - |
dc.subject | Static output-feedback | - |
dc.title | On exact exponential stability assignment of retarded delay systems via static output-feedback controllers | en_HK |
dc.type | Conference_Paper | en_HK |
dc.identifier.email | Lam, J: james.lam@hku.hk | en_HK |
dc.identifier.authority | Lam, J=rp00133 | en_HK |
dc.description.nature | published_or_final_version | - |
dc.identifier.hkuros | 164340 | en_HK |
dc.identifier.spage | 58 | - |
dc.identifier.epage | 63 | - |
dc.publisher.place | Prague, Czech Republic | - |
dc.identifier.issnl | 1790-5117 | - |