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Conference Paper: Stability-preserving model order reduction for nonlinear time delay systems
Title | Stability-preserving model order reduction for nonlinear time delay systems |
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Authors | |
Keywords | Model order reduction Nonlinear system Time delay Linear matrix inequality (LMI) |
Issue Date | 2013 |
Publisher | Institute of Electrical and Electronics Engineers. The Journal's web site is located at https://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1001331 |
Citation | The 32nd Chinese Control Conference (CCC 2013), Xi'an, China, 26-28 July 2013. In Proceedings of the 32nd Chinese Control Conference, 2013, p. 1017-1022 How to Cite? |
Abstract | Delay elements are needed to model physical, industrial and engineering systems as action and reaction always come with latency. In this paper, we present an algorithm to obtain the reduced-order models (ROMs) while preserving the stability of nonlinear time delay systems (TDSs), which are approximated first by the piecewise-linear TDSs. One contribution is the derivation of the input-output stability of piecewise-linear TDSs, for the first time. The other is the preservation of the input-output stability of the ROMs. The system matrices are obtained by the left projection matrix from the solution of linear matrix inequalities (LMIs) for the input-output stability test of the original piecewise-linear TDSs and the right projection matrix from matching the estimated moments. An application example then verifies the effectiveness of the proposed method. |
Persistent Identifier | http://hdl.handle.net/10722/189857 |
ISSN | 2020 SCImago Journal Rankings: 0.152 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Wang, Q | en_US |
dc.contributor.author | Wong, N | en_US |
dc.date.accessioned | 2013-09-17T15:00:57Z | - |
dc.date.available | 2013-09-17T15:00:57Z | - |
dc.date.issued | 2013 | en_US |
dc.identifier.citation | The 32nd Chinese Control Conference (CCC 2013), Xi'an, China, 26-28 July 2013. In Proceedings of the 32nd Chinese Control Conference, 2013, p. 1017-1022 | en_US |
dc.identifier.issn | 1934-1768 | - |
dc.identifier.uri | http://hdl.handle.net/10722/189857 | - |
dc.description.abstract | Delay elements are needed to model physical, industrial and engineering systems as action and reaction always come with latency. In this paper, we present an algorithm to obtain the reduced-order models (ROMs) while preserving the stability of nonlinear time delay systems (TDSs), which are approximated first by the piecewise-linear TDSs. One contribution is the derivation of the input-output stability of piecewise-linear TDSs, for the first time. The other is the preservation of the input-output stability of the ROMs. The system matrices are obtained by the left projection matrix from the solution of linear matrix inequalities (LMIs) for the input-output stability test of the original piecewise-linear TDSs and the right projection matrix from matching the estimated moments. An application example then verifies the effectiveness of the proposed method. | - |
dc.language | eng | en_US |
dc.publisher | Institute of Electrical and Electronics Engineers. The Journal's web site is located at https://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1001331 | - |
dc.relation.ispartof | Proceedings of the 32nd Chinese Control Conference | en_US |
dc.rights | Proceedings of the 32nd Chinese Control Conference. Copyright © Institute of Electrical and Electronics Engineers. | - |
dc.subject | Model order reduction | - |
dc.subject | Nonlinear system | - |
dc.subject | Time delay | - |
dc.subject | Linear matrix inequality (LMI) | - |
dc.title | Stability-preserving model order reduction for nonlinear time delay systems | en_US |
dc.type | Conference_Paper | en_US |
dc.identifier.email | Wang, Q: wangqing@hku.hk | en_US |
dc.identifier.email | Wong, N: nwong@eee.hku.hk | en_US |
dc.identifier.authority | Wong, N=rp00190 | en_US |
dc.identifier.scopus | eid_2-s2.0-84890515701 | - |
dc.identifier.hkuros | 222415 | en_US |
dc.identifier.spage | 1017 | en_US |
dc.identifier.epage | 1022 | en_US |
dc.identifier.isi | WOS:000393046001030 | - |
dc.publisher.place | United States | - |
dc.customcontrol.immutable | sml 131030 | - |
dc.identifier.issnl | 1934-1768 | - |