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Homogenous polynomial H∞ filtering for uncertain discrete‐time systems: A descriptor approach
Summary This paper focuses on the robust full‐order H∞ filter design for linear discrete‐time systems with polytopic uncertainties. Less conservative robust H∞ filter design procedures are given in terms of linear matrix inequality constraints. By using a descriptor approach, 2 sufficient conditions...
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| Published in: | International journal of adaptive control and signal processing 2018-02, Vol.32 (2), p.378-389 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
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| cited_by | cdi_FETCH-LOGICAL-c2428-f779c14511ef3723c055a457166d15f2efdd4a98a93e34abe19977096abe14a03 |
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| cites | cdi_FETCH-LOGICAL-c2428-f779c14511ef3723c055a457166d15f2efdd4a98a93e34abe19977096abe14a03 |
| container_end_page | 389 |
| container_issue | 2 |
| container_start_page | 378 |
| container_title | International journal of adaptive control and signal processing |
| container_volume | 32 |
| creator | Zoulagh, T. El Haiek, B. Hmamed, A. El Hajjaji, A. |
| description | Summary
This paper focuses on the robust full‐order H∞ filter design for linear discrete‐time systems with polytopic uncertainties. Less conservative robust H∞ filter design procedures are given in terms of linear matrix inequality constraints. By using a descriptor approach, 2 sufficient conditions for the H∞ filter analysis and design are proposed via linear matrix inequalities. The homogenous polynomial parameter‐dependent Lyapunov functions are used for the asymptotic stability analysis of the system error. Finally, to demonstrate the efficiency of the proposed approach, simulation results with comparative studies are used. |
| doi_str_mv | 10.1002/acs.2848 |
| format | article |
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This paper focuses on the robust full‐order H∞ filter design for linear discrete‐time systems with polytopic uncertainties. Less conservative robust H∞ filter design procedures are given in terms of linear matrix inequality constraints. By using a descriptor approach, 2 sufficient conditions for the H∞ filter analysis and design are proposed via linear matrix inequalities. The homogenous polynomial parameter‐dependent Lyapunov functions are used for the asymptotic stability analysis of the system error. Finally, to demonstrate the efficiency of the proposed approach, simulation results with comparative studies are used.</description><identifier>ISSN: 0890-6327</identifier><identifier>EISSN: 1099-1115</identifier><identifier>DOI: 10.1002/acs.2848</identifier><language>eng</language><publisher>Bognor Regis: Wiley Subscription Services, Inc</publisher><subject>Automatic ; descriptor representation ; Discrete time systems ; Engineering Sciences ; Error analysis ; Filter design (mathematics) ; Filtration ; homogenous polynomial approach ; H∞filtering ; Liapunov functions ; Linear matrix inequalities ; linear matrix inequalities (LMIs) ; Mathematical analysis ; Matrix methods ; Polynomials ; polytopic uncertainty ; Stability analysis</subject><ispartof>International journal of adaptive control and signal processing, 2018-02, Vol.32 (2), p.378-389</ispartof><rights>Copyright © 2017 John Wiley & Sons, Ltd.</rights><rights>Copyright © 2018 John Wiley & Sons, Ltd.</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c2428-f779c14511ef3723c055a457166d15f2efdd4a98a93e34abe19977096abe14a03</citedby><cites>FETCH-LOGICAL-c2428-f779c14511ef3723c055a457166d15f2efdd4a98a93e34abe19977096abe14a03</cites><orcidid>0000-0002-9380-9890 ; 0000-0003-4796-2744 ; 0000-0002-7564-3620</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,314,780,784,885,27924,27925</link.rule.ids><backlink>$$Uhttps://hal.science/hal-01790361$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Zoulagh, T.</creatorcontrib><creatorcontrib>El Haiek, B.</creatorcontrib><creatorcontrib>Hmamed, A.</creatorcontrib><creatorcontrib>El Hajjaji, A.</creatorcontrib><title>Homogenous polynomial H∞ filtering for uncertain discrete‐time systems: A descriptor approach</title><title>International journal of adaptive control and signal processing</title><description>Summary
This paper focuses on the robust full‐order H∞ filter design for linear discrete‐time systems with polytopic uncertainties. Less conservative robust H∞ filter design procedures are given in terms of linear matrix inequality constraints. By using a descriptor approach, 2 sufficient conditions for the H∞ filter analysis and design are proposed via linear matrix inequalities. The homogenous polynomial parameter‐dependent Lyapunov functions are used for the asymptotic stability analysis of the system error. Finally, to demonstrate the efficiency of the proposed approach, simulation results with comparative studies are used.</description><subject>Automatic</subject><subject>descriptor representation</subject><subject>Discrete time systems</subject><subject>Engineering Sciences</subject><subject>Error analysis</subject><subject>Filter design (mathematics)</subject><subject>Filtration</subject><subject>homogenous polynomial approach</subject><subject>H∞filtering</subject><subject>Liapunov functions</subject><subject>Linear matrix inequalities</subject><subject>linear matrix inequalities (LMIs)</subject><subject>Mathematical analysis</subject><subject>Matrix methods</subject><subject>Polynomials</subject><subject>polytopic uncertainty</subject><subject>Stability analysis</subject><issn>0890-6327</issn><issn>1099-1115</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNp10EFLwzAUB_AgCs4p-BECXvTQmdekTeNtDLXCwIN6DrFNt4y2qUmn7ObRo5_AD7dPYmbFm6c88n78efwROgUyAULiS1X4SZyxbA-NgAgRAUCyj0YkEyRKacwP0ZH3K0LCDugIqdw2dqFbu_a4s_WmtY1RNc63H1-4MnWvnWkXuLIOr9tCu16ZFpfGF073evv-2ZtGY7_xvW78FZ7iUoeV6frgVdc5q4rlMTqoVO31ye87Rk8314-zPJrf397NpvOoiFmcRRXnogCWAOiK8pgWJEkUSzikaQlJFeuqLJkSmRJUU6aeNQjBORHpbmSK0DG6GHKXqpadM41yG2mVkfl0Lnd_BLggNIVXCPZssOHEl7X2vVzZtWvDeTLEMg4ioSyo80EVznrvdPUXC0TuypahbLkrO9BooG-m1pt_nZzOHn78N1QdgbM</recordid><startdate>201802</startdate><enddate>201802</enddate><creator>Zoulagh, T.</creator><creator>El Haiek, B.</creator><creator>Hmamed, A.</creator><creator>El Hajjaji, A.</creator><general>Wiley Subscription Services, Inc</general><general>Wiley</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>1XC</scope><orcidid>https://orcid.org/0000-0002-9380-9890</orcidid><orcidid>https://orcid.org/0000-0003-4796-2744</orcidid><orcidid>https://orcid.org/0000-0002-7564-3620</orcidid></search><sort><creationdate>201802</creationdate><title>Homogenous polynomial H∞ filtering for uncertain discrete‐time systems: A descriptor approach</title><author>Zoulagh, T. ; El Haiek, B. ; Hmamed, A. ; El Hajjaji, A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c2428-f779c14511ef3723c055a457166d15f2efdd4a98a93e34abe19977096abe14a03</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Automatic</topic><topic>descriptor representation</topic><topic>Discrete time systems</topic><topic>Engineering Sciences</topic><topic>Error analysis</topic><topic>Filter design (mathematics)</topic><topic>Filtration</topic><topic>homogenous polynomial approach</topic><topic>H∞filtering</topic><topic>Liapunov functions</topic><topic>Linear matrix inequalities</topic><topic>linear matrix inequalities (LMIs)</topic><topic>Mathematical analysis</topic><topic>Matrix methods</topic><topic>Polynomials</topic><topic>polytopic uncertainty</topic><topic>Stability analysis</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zoulagh, T.</creatorcontrib><creatorcontrib>El Haiek, B.</creatorcontrib><creatorcontrib>Hmamed, A.</creatorcontrib><creatorcontrib>El Hajjaji, A.</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>Hyper Article en Ligne (HAL)</collection><jtitle>International journal of adaptive control and signal processing</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Zoulagh, T.</au><au>El Haiek, B.</au><au>Hmamed, A.</au><au>El Hajjaji, A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Homogenous polynomial H∞ filtering for uncertain discrete‐time systems: A descriptor approach</atitle><jtitle>International journal of adaptive control and signal processing</jtitle><date>2018-02</date><risdate>2018</risdate><volume>32</volume><issue>2</issue><spage>378</spage><epage>389</epage><pages>378-389</pages><issn>0890-6327</issn><eissn>1099-1115</eissn><abstract>Summary
This paper focuses on the robust full‐order H∞ filter design for linear discrete‐time systems with polytopic uncertainties. Less conservative robust H∞ filter design procedures are given in terms of linear matrix inequality constraints. By using a descriptor approach, 2 sufficient conditions for the H∞ filter analysis and design are proposed via linear matrix inequalities. The homogenous polynomial parameter‐dependent Lyapunov functions are used for the asymptotic stability analysis of the system error. Finally, to demonstrate the efficiency of the proposed approach, simulation results with comparative studies are used.</abstract><cop>Bognor Regis</cop><pub>Wiley Subscription Services, Inc</pub><doi>10.1002/acs.2848</doi><tpages>12</tpages><orcidid>https://orcid.org/0000-0002-9380-9890</orcidid><orcidid>https://orcid.org/0000-0003-4796-2744</orcidid><orcidid>https://orcid.org/0000-0002-7564-3620</orcidid></addata></record> |
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| identifier | ISSN: 0890-6327 |
| ispartof | International journal of adaptive control and signal processing, 2018-02, Vol.32 (2), p.378-389 |
| issn | 0890-6327 1099-1115 |
| language | eng |
| recordid | cdi_hal_primary_oai_HAL_hal_01790361v1 |
| source | Wiley-Blackwell Read & Publish Collection |
| subjects | Automatic descriptor representation Discrete time systems Engineering Sciences Error analysis Filter design (mathematics) Filtration homogenous polynomial approach H∞filtering Liapunov functions Linear matrix inequalities linear matrix inequalities (LMIs) Mathematical analysis Matrix methods Polynomials polytopic uncertainty Stability analysis |
| title | Homogenous polynomial H∞ filtering for uncertain discrete‐time systems: A descriptor approach |
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