Reciprocally convex approach to H∞ control for linear systems with interval time-varying delay
This paper considers less conservative results on H ∞ control for linear systems with interval time-varying delay. In order to essentially improve the existing results of the system with a prescribed level γ of H ∞ disturbance attenuation, reciprocally convex approach is proposed to establish a new...
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creator | Cheng Wubin Xiao Shenping Zeng Hongbing Bai Lei |
description | This paper considers less conservative results on H ∞ control for linear systems with interval time-varying delay. In order to essentially improve the existing results of the system with a prescribed level γ of H ∞ disturbance attenuation, reciprocally convex approach is proposed to establish a new delay-dependent bounded real lemma (BRL). The BRL is applied to solve the H ∞ controller design by incorporating with the cone complementary minimization. A numerical example is finally given to show that the proposed method is effective and can provide less conservative results in this paper. |
doi_str_mv | 10.1109/CCDC.2012.6244054 |
format | Conference Proceeding |
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In order to essentially improve the existing results of the system with a prescribed level γ of H ∞ disturbance attenuation, reciprocally convex approach is proposed to establish a new delay-dependent bounded real lemma (BRL). The BRL is applied to solve the H ∞ controller design by incorporating with the cone complementary minimization. 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In order to essentially improve the existing results of the system with a prescribed level γ of H ∞ disturbance attenuation, reciprocally convex approach is proposed to establish a new delay-dependent bounded real lemma (BRL). The BRL is applied to solve the H ∞ controller design by incorporating with the cone complementary minimization. A numerical example is finally given to show that the proposed method is effective and can provide less conservative results in this paper.</description><subject>Attenuation</subject><subject>Delay</subject><subject>H ∞ Control</subject><subject>Interval Time-Varying Delay</subject><subject>Linear matrix inequalities</subject><subject>Linear Matrix Inequality (LMI)</subject><subject>Linear systems</subject><subject>Reciprocally Convex Approach</subject><subject>Stability</subject><subject>Stability analysis</subject><subject>Symmetric matrices</subject><subject>Time varying systems</subject><issn>1948-9439</issn><issn>1948-9447</issn><isbn>9781457720734</isbn><isbn>1457720736</isbn><isbn>1457720728</isbn><isbn>1457720744</isbn><isbn>9781457720741</isbn><isbn>9781457720727</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2012</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNo9kF1KAzEcxOMX2NYeQHzJBbbma5PNo6zVCgVB-l7T7D82ku4u2VDdG3gKD-dJXLH6NPAbGGYGoUtKZpQSfV2Wt-WMEcpmkglBcnGExlTkSjGiWHGMRlSLItNCqBM01ar487g4_fe4PkfjrnslREpOyAg9P4H1bWysCaHHtqn38I5NOxBjtzg1ePH18fnDU2wCdk3EwddgIu76LsGuw28-bbGvE8S9CTj5HWR7E3tfv-AKgukv0JkzoYPpQSdodTdflYts-Xj_UN4sM69JypgUSgOYIpcOLFDOOXXa5dpJyzeFElJop4m1wyCiHa04kbSwAKwSrNoIPkFXv7EeANZt9LuhxPpwFP8GLT5aiQ</recordid><startdate>201205</startdate><enddate>201205</enddate><creator>Cheng Wubin</creator><creator>Xiao Shenping</creator><creator>Zeng Hongbing</creator><creator>Bai Lei</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>201205</creationdate><title>Reciprocally convex approach to H∞ control for linear systems with interval time-varying delay</title><author>Cheng Wubin ; Xiao Shenping ; Zeng Hongbing ; Bai Lei</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i90t-26479eea856fece13331f9f59f6c3b874649f90cc72009f1d30618cee2d42db43</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Attenuation</topic><topic>Delay</topic><topic>H ∞ Control</topic><topic>Interval Time-Varying Delay</topic><topic>Linear matrix inequalities</topic><topic>Linear Matrix Inequality (LMI)</topic><topic>Linear systems</topic><topic>Reciprocally Convex Approach</topic><topic>Stability</topic><topic>Stability analysis</topic><topic>Symmetric matrices</topic><topic>Time varying systems</topic><toplevel>online_resources</toplevel><creatorcontrib>Cheng Wubin</creatorcontrib><creatorcontrib>Xiao Shenping</creatorcontrib><creatorcontrib>Zeng Hongbing</creatorcontrib><creatorcontrib>Bai Lei</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>Cheng Wubin</au><au>Xiao Shenping</au><au>Zeng Hongbing</au><au>Bai Lei</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Reciprocally convex approach to H∞ control for linear systems with interval time-varying delay</atitle><btitle>2012 24th Chinese Control and Decision Conference (CCDC)</btitle><stitle>CCDC</stitle><date>2012-05</date><risdate>2012</risdate><spage>363</spage><epage>368</epage><pages>363-368</pages><issn>1948-9439</issn><eissn>1948-9447</eissn><isbn>9781457720734</isbn><isbn>1457720736</isbn><eisbn>1457720728</eisbn><eisbn>1457720744</eisbn><eisbn>9781457720741</eisbn><eisbn>9781457720727</eisbn><abstract>This paper considers less conservative results on H ∞ control for linear systems with interval time-varying delay. In order to essentially improve the existing results of the system with a prescribed level γ of H ∞ disturbance attenuation, reciprocally convex approach is proposed to establish a new delay-dependent bounded real lemma (BRL). The BRL is applied to solve the H ∞ controller design by incorporating with the cone complementary minimization. A numerical example is finally given to show that the proposed method is effective and can provide less conservative results in this paper.</abstract><pub>IEEE</pub><doi>10.1109/CCDC.2012.6244054</doi><tpages>6</tpages></addata></record> |
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ispartof | 2012 24th Chinese Control and Decision Conference (CCDC), 2012, p.363-368 |
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language | eng |
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source | IEEE Electronic Library (IEL) Conference Proceedings |
subjects | Attenuation Delay H ∞ Control Interval Time-Varying Delay Linear matrix inequalities Linear Matrix Inequality (LMI) Linear systems Reciprocally Convex Approach Stability Stability analysis Symmetric matrices Time varying systems |
title | Reciprocally convex approach to H∞ control for linear systems with interval time-varying delay |
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