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Conference Paper: On the robust H-infinity norm of 2D mixed continuous-discrete-time systems with uncertainty
Title | On the robust H-infinity norm of 2D mixed continuous-discrete-time systems with uncertainty |
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Other Titles | On the robust H∞ norm of 2D mixed continuous-discrete-time systems with uncertainty |
Authors | |
Issue Date | 2014 |
Publisher | Institute of Electrical and Electronics Engineers. The Journal's web site is located at http://www.ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000188 |
Citation | The 53rd IEEE Annual Conference on Decision and Control (CDC 2014), Los Angeles, CA., 15-17 December 2014. In Conference Proceedings, 2014, p. 5985-5990 How to Cite? |
Abstract | This paper addresses the problem of determining the robust H∞ norm of 2D mixed continuous-discrete-time systems affected by uncertainty. Specifically, it is supposed that the matrices of the model are polynomial functions of an unknown vector constrained into a semialgebraic set. It is shown that an upper bound of the robust H∞ norm can be obtained via a semidefinite program (SDP) by introducing complex Lyapunov functions candidates with rational dependence on a frequency and polynomial dependence on the uncertainty. A necessary and sufficient condition is also provided to establish whether the found upper bound is tight. Some numerical examples illustrate the proposed approach. |
Persistent Identifier | http://hdl.handle.net/10722/211403 |
ISBN | |
ISSN | 2020 SCImago Journal Rankings: 0.395 |
DC Field | Value | Language |
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dc.contributor.author | Chesi, G | - |
dc.date.accessioned | 2015-07-10T08:15:00Z | - |
dc.date.available | 2015-07-10T08:15:00Z | - |
dc.date.issued | 2014 | - |
dc.identifier.citation | The 53rd IEEE Annual Conference on Decision and Control (CDC 2014), Los Angeles, CA., 15-17 December 2014. In Conference Proceedings, 2014, p. 5985-5990 | - |
dc.identifier.isbn | 978-1-4673-6090-6 | - |
dc.identifier.issn | 0191-2216 | - |
dc.identifier.uri | http://hdl.handle.net/10722/211403 | - |
dc.description.abstract | This paper addresses the problem of determining the robust H∞ norm of 2D mixed continuous-discrete-time systems affected by uncertainty. Specifically, it is supposed that the matrices of the model are polynomial functions of an unknown vector constrained into a semialgebraic set. It is shown that an upper bound of the robust H∞ norm can be obtained via a semidefinite program (SDP) by introducing complex Lyapunov functions candidates with rational dependence on a frequency and polynomial dependence on the uncertainty. A necessary and sufficient condition is also provided to establish whether the found upper bound is tight. Some numerical examples illustrate the proposed approach. | - |
dc.language | eng | - |
dc.publisher | Institute of Electrical and Electronics Engineers. The Journal's web site is located at http://www.ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000188 | - |
dc.relation.ispartof | IEEE Conference on Decision and Control. Proceedings | - |
dc.title | On the robust H-infinity norm of 2D mixed continuous-discrete-time systems with uncertainty | - |
dc.title.alternative | On the robust H∞ norm of 2D mixed continuous-discrete-time systems with uncertainty | - |
dc.type | Conference_Paper | - |
dc.identifier.email | Chesi, G: chesi@eee.hku.hk | - |
dc.identifier.authority | Chesi, G=rp00100 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1109/CDC.2014.7040326 | - |
dc.identifier.scopus | eid_2-s2.0-84988286117 | - |
dc.identifier.hkuros | 245059 | - |
dc.identifier.spage | 5985 | - |
dc.identifier.epage | 5990 | - |
dc.publisher.place | United States | - |
dc.customcontrol.immutable | sml 150710 | - |
dc.identifier.issnl | 0191-2216 | - |