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Conference Paper: Optimal time-weighted H2 model reduction for discrete markovian jump systems
Title | Optimal time-weighted H2 model reduction for discrete markovian jump systems |
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Authors | |
Keywords | Discrete Markovian jump system H2 norm Model reduction Time-weighted error |
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=1001331 |
Citation | The 33rd Chinese Control Conference (CCC 2014), Nanjing, China, 28-30 July 2014. In Chinese Control Conference, 2014, p. 8968-8973 How to Cite? |
Abstract | This paper considers the optimal time-weighted H2 model reduction problem for discrete Markovian jump linear systems (MJLSs). The purpose is to find a mean square stable MJLS of lower order such that the time-weighted H2 norm of the corresponding error system is minimized for a given mean square stable discrete MJLS. A new notation named time-weighted H2 norm of discrete MJLS is defined for the model reduction purpose for the first time. Then a computational formula of the time-weighted H2 norm is given. Based on this formula, a gradient flow method is proposed to solve the optimal time-weighted H2 model reduction problem. Finally, a numerical example is used to illustrate the effectiveness of the proposed approach. © 2014 TCCT, CAA. |
Persistent Identifier | http://hdl.handle.net/10722/217499 |
ISBN | |
ISSN | 2020 SCImago Journal Rankings: 0.152 |
DC Field | Value | Language |
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dc.contributor.author | Sun, M | - |
dc.contributor.author | Lam, J | - |
dc.contributor.author | Zhong, N | - |
dc.date.accessioned | 2015-09-18T06:01:02Z | - |
dc.date.available | 2015-09-18T06:01:02Z | - |
dc.date.issued | 2014 | - |
dc.identifier.citation | The 33rd Chinese Control Conference (CCC 2014), Nanjing, China, 28-30 July 2014. In Chinese Control Conference, 2014, p. 8968-8973 | - |
dc.identifier.isbn | 978-988156384-2 | - |
dc.identifier.issn | 1934-1768 | - |
dc.identifier.uri | http://hdl.handle.net/10722/217499 | - |
dc.description.abstract | This paper considers the optimal time-weighted H2 model reduction problem for discrete Markovian jump linear systems (MJLSs). The purpose is to find a mean square stable MJLS of lower order such that the time-weighted H2 norm of the corresponding error system is minimized for a given mean square stable discrete MJLS. A new notation named time-weighted H2 norm of discrete MJLS is defined for the model reduction purpose for the first time. Then a computational formula of the time-weighted H2 norm is given. Based on this formula, a gradient flow method is proposed to solve the optimal time-weighted H2 model reduction problem. Finally, a numerical example is used to illustrate the effectiveness of the proposed approach. © 2014 TCCT, CAA. | - |
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=1001331 | - |
dc.relation.ispartof | Chinese Control Conference | - |
dc.rights | ©2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. | - |
dc.subject | Discrete Markovian jump system | - |
dc.subject | H2 norm | - |
dc.subject | Model reduction | - |
dc.subject | Time-weighted error | - |
dc.title | Optimal time-weighted H2 model reduction for discrete markovian jump systems | - |
dc.type | Conference_Paper | - |
dc.identifier.email | Lam, J: jlam@hku.hk | - |
dc.identifier.authority | Lam, J=rp00133 | - |
dc.description.nature | postprint | - |
dc.identifier.doi | 10.1109/ChiCC.2014.6896510 | - |
dc.identifier.scopus | eid_2-s2.0-84907921140 | - |
dc.identifier.hkuros | 254429 | - |
dc.identifier.spage | 8968 | - |
dc.identifier.epage | 8973 | - |
dc.publisher.place | United States | - |
dc.customcontrol.immutable | sml 151207 | - |
dc.identifier.issnl | 1934-1768 | - |