H∞ model reduction of singularly perturbed control systems
In this paper, the problem of H infin model reduction for singularly perturbed control systems is investigated. A new algorithm based on the slow-fast decomposition of the original system is suggested to obtain the reduced-order model. The associated model reduction error meets a prescribed H infin...
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creator | Ningfan Zhong Minhui Sun Lin Xue Yun Zou |
description | In this paper, the problem of H infin model reduction for singularly perturbed control systems is investigated. A new algorithm based on the slow-fast decomposition of the original system is suggested to obtain the reduced-order model. The associated model reduction error meets a prescribed H infin norm bound constraint and the two-time-scale property of the original singularly perturbed control system is retained in the reduced-order model. A numerical example is presented to show the effectiveness of the model reduction method. |
doi_str_mv | 10.1109/CCDC.2009.5191809 |
format | Conference Proceeding |
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A new algorithm based on the slow-fast decomposition of the original system is suggested to obtain the reduced-order model. The associated model reduction error meets a prescribed H infin norm bound constraint and the two-time-scale property of the original singularly perturbed control system is retained in the reduced-order model. 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A new algorithm based on the slow-fast decomposition of the original system is suggested to obtain the reduced-order model. The associated model reduction error meets a prescribed H infin norm bound constraint and the two-time-scale property of the original singularly perturbed control system is retained in the reduced-order model. A numerical example is presented to show the effectiveness of the model reduction method.</description><subject>Control system synthesis</subject><subject>Differential equations</subject><subject>Electronic mail</subject><subject>Error correction</subject><subject>Frequency</subject><subject>H ∞ model reduction</subject><subject>Linear matrix inequalities</subject><subject>Marine technology</subject><subject>Matrix decomposition</subject><subject>Oceans</subject><subject>Reduced order systems</subject><subject>Singularly perturbed system</subject><subject>two-time-scale</subject><issn>1948-9439</issn><issn>1948-9447</issn><isbn>9781424427222</isbn><isbn>1424427223</isbn><isbn>9781424427239</isbn><isbn>1424427231</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2009</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNpVkMtKxDAYheNlwHHsA4ibvEBr_iRtEnAjHXWEATezHzLNH6n0MiTtom_gU_hwPokFB8GzOYsPvgOHkFtgGQAz92W5LjPOmMlyMKCZOSOJURokl5IrLsw5WYKROjVSqot_jPPLPybMglzPGm1YwaC4IkmMH2yOzEUuYEkeNt-fX7TtHTY0oBuroe472nsa6-59bGxoJnrEMIzhgI5WfTeEvqFxigO28YYsvG0iJqdekd3z067cpNu3l9fycZvWhg0pOq8Vd94rJedd7rix4KVArT34HBxUTIFAK6St2MFKXihAzJkAiziTFbn71daIuD-GurVh2p9-ET-C31Cm</recordid><startdate>200906</startdate><enddate>200906</enddate><creator>Ningfan Zhong</creator><creator>Minhui Sun</creator><creator>Lin Xue</creator><creator>Yun Zou</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>200906</creationdate><title>H∞ model reduction of singularly perturbed control systems</title><author>Ningfan Zhong ; Minhui Sun ; Lin Xue ; Yun Zou</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i90t-edf872dff7740452d29a1f43e88f1f51d1c0713ea34ac0ba42671ee5031aee713</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Control system synthesis</topic><topic>Differential equations</topic><topic>Electronic mail</topic><topic>Error correction</topic><topic>Frequency</topic><topic>H ∞ model reduction</topic><topic>Linear matrix inequalities</topic><topic>Marine technology</topic><topic>Matrix decomposition</topic><topic>Oceans</topic><topic>Reduced order systems</topic><topic>Singularly perturbed system</topic><topic>two-time-scale</topic><toplevel>online_resources</toplevel><creatorcontrib>Ningfan Zhong</creatorcontrib><creatorcontrib>Minhui Sun</creatorcontrib><creatorcontrib>Lin Xue</creatorcontrib><creatorcontrib>Yun Zou</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Ningfan Zhong</au><au>Minhui Sun</au><au>Lin Xue</au><au>Yun Zou</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>H∞ model reduction of singularly perturbed control systems</atitle><btitle>2009 Chinese Control and Decision Conference</btitle><stitle>CCDC</stitle><date>2009-06</date><risdate>2009</risdate><spage>3854</spage><epage>3859</epage><pages>3854-3859</pages><issn>1948-9439</issn><eissn>1948-9447</eissn><isbn>9781424427222</isbn><isbn>1424427223</isbn><eisbn>9781424427239</eisbn><eisbn>1424427231</eisbn><abstract>In this paper, the problem of H infin model reduction for singularly perturbed control systems is investigated. A new algorithm based on the slow-fast decomposition of the original system is suggested to obtain the reduced-order model. The associated model reduction error meets a prescribed H infin norm bound constraint and the two-time-scale property of the original singularly perturbed control system is retained in the reduced-order model. A numerical example is presented to show the effectiveness of the model reduction method.</abstract><pub>IEEE</pub><doi>10.1109/CCDC.2009.5191809</doi><tpages>6</tpages></addata></record> |
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subjects | Control system synthesis Differential equations Electronic mail Error correction Frequency H ∞ model reduction Linear matrix inequalities Marine technology Matrix decomposition Oceans Reduced order systems Singularly perturbed system two-time-scale |
title | H∞ model reduction of singularly perturbed control systems |
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