Optimal unbiased reduced order filtering for discrete-time descriptor systems via LMI
In this paper, the reduced order unbiased optimal H ∞ filtering problem for discrete-time descriptor linear systems is considered. Necessary and sufficient conditions for the existence of unbiased causal time invariant filters are obtained. Solutions of the filtering problems are given in terms of l...
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| Veröffentlicht in: | Systems & control letters 2009-06, Vol.58 (6), p.436-444 |
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| container_title | Systems & control letters |
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| creator | Darouach, M. Zasadzinski, M. |
| description | In this paper, the reduced order unbiased optimal
H
∞
filtering problem for discrete-time descriptor linear systems is considered. Necessary and sufficient conditions for the existence of unbiased causal time invariant filters are obtained. Solutions of the filtering problems are given in terms of linear matrix inequalities (LMIs). Parametrization of all optimal causal unbiased filters is provided. The proposed method generalizes the existing results in the standard case. |
| doi_str_mv | 10.1016/j.sysconle.2009.02.005 |
| format | Article |
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H
∞
filtering problem for discrete-time descriptor linear systems is considered. Necessary and sufficient conditions for the existence of unbiased causal time invariant filters are obtained. Solutions of the filtering problems are given in terms of linear matrix inequalities (LMIs). Parametrization of all optimal causal unbiased filters is provided. The proposed method generalizes the existing results in the standard case.</description><identifier>ISSN: 0167-6911</identifier><identifier>EISSN: 1872-7956</identifier><identifier>DOI: 10.1016/j.sysconle.2009.02.005</identifier><identifier>CODEN: SCLEDC</identifier><language>eng</language><publisher>Amsterdam: Elsevier B.V</publisher><subject>Applied sciences ; Automatic ; Computer science; control theory; systems ; Control system analysis ; Control theory. Systems ; Descriptor systems ; Engineering Sciences ; Exact sciences and technology ; LMI ; Modelling and identification ; Reduced order filter ; Unbiased filtering</subject><ispartof>Systems & control letters, 2009-06, Vol.58 (6), p.436-444</ispartof><rights>2009 Elsevier B.V.</rights><rights>2009 INIST-CNRS</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c424t-e5151e8fc82b2e6bd9e320552a38fe2a381fb09b14f93692a9c0aaa3ad4e9e253</citedby><cites>FETCH-LOGICAL-c424t-e5151e8fc82b2e6bd9e320552a38fe2a381fb09b14f93692a9c0aaa3ad4e9e253</cites><orcidid>0000-0001-9387-2868 ; 0000-0003-2298-2124</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.sysconle.2009.02.005$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>230,314,780,784,885,3550,27924,27925,45995</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=21432304$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://hal.science/hal-00411524$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Darouach, M.</creatorcontrib><creatorcontrib>Zasadzinski, M.</creatorcontrib><title>Optimal unbiased reduced order filtering for discrete-time descriptor systems via LMI</title><title>Systems & control letters</title><description>In this paper, the reduced order unbiased optimal
H
∞
filtering problem for discrete-time descriptor linear systems is considered. Necessary and sufficient conditions for the existence of unbiased causal time invariant filters are obtained. Solutions of the filtering problems are given in terms of linear matrix inequalities (LMIs). Parametrization of all optimal causal unbiased filters is provided. The proposed method generalizes the existing results in the standard case.</description><subject>Applied sciences</subject><subject>Automatic</subject><subject>Computer science; control theory; systems</subject><subject>Control system analysis</subject><subject>Control theory. Systems</subject><subject>Descriptor systems</subject><subject>Engineering Sciences</subject><subject>Exact sciences and technology</subject><subject>LMI</subject><subject>Modelling and identification</subject><subject>Reduced order filter</subject><subject>Unbiased filtering</subject><issn>0167-6911</issn><issn>1872-7956</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><recordid>eNqFkEFPwyAUx4nRxDn9CqYXDx5aH9B25eayqDOp2cWdCaUPZenaBrol-_bSVHf1wgvw-_F4f0LuKSQUaP60S_zJ665tMGEAIgGWAGQXZEaLBYsXIssvySyAizgXlF6TG-93AMCA8xnZbvrB7lUTHdrKKo915LA-6FA7V6OLjG0GdLb9ikznotp67XDAODgY1Rh2th_CRfjBgHsfHa2Kyo_3W3JlVOPx7rfOyfb15XO1jsvN2_tqWcY6ZekQY0YzioXRBasY5lUtkDPIMqZ4YXBcqalAVDQ1gueCKaFBKcVVnaJAlvE5eZze_VaN7F0YxJ1kp6xcL0s5ngGklGYsPdLA5hOrXee9Q3MWKMgxSLmTf0HKMUgJLPhjk4dJ7JXXqjFOtdr6s81oyhmHNHDPE4dh4qNFJ7222IYsrUM9yLqz_7X6Af40jWo</recordid><startdate>20090601</startdate><enddate>20090601</enddate><creator>Darouach, M.</creator><creator>Zasadzinski, M.</creator><general>Elsevier B.V</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>1XC</scope><scope>VOOES</scope><orcidid>https://orcid.org/0000-0001-9387-2868</orcidid><orcidid>https://orcid.org/0000-0003-2298-2124</orcidid></search><sort><creationdate>20090601</creationdate><title>Optimal unbiased reduced order filtering for discrete-time descriptor systems via LMI</title><author>Darouach, M. ; Zasadzinski, M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c424t-e5151e8fc82b2e6bd9e320552a38fe2a381fb09b14f93692a9c0aaa3ad4e9e253</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Applied sciences</topic><topic>Automatic</topic><topic>Computer science; control theory; systems</topic><topic>Control system analysis</topic><topic>Control theory. Systems</topic><topic>Descriptor systems</topic><topic>Engineering Sciences</topic><topic>Exact sciences and technology</topic><topic>LMI</topic><topic>Modelling and identification</topic><topic>Reduced order filter</topic><topic>Unbiased filtering</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Darouach, M.</creatorcontrib><creatorcontrib>Zasadzinski, M.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Hyper Article en Ligne (HAL)</collection><collection>Hyper Article en Ligne (HAL) (Open Access)</collection><jtitle>Systems & control letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Darouach, M.</au><au>Zasadzinski, M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Optimal unbiased reduced order filtering for discrete-time descriptor systems via LMI</atitle><jtitle>Systems & control letters</jtitle><date>2009-06-01</date><risdate>2009</risdate><volume>58</volume><issue>6</issue><spage>436</spage><epage>444</epage><pages>436-444</pages><issn>0167-6911</issn><eissn>1872-7956</eissn><coden>SCLEDC</coden><abstract>In this paper, the reduced order unbiased optimal
H
∞
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| ispartof | Systems & control letters, 2009-06, Vol.58 (6), p.436-444 |
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| language | eng |
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| source | Access via ScienceDirect (Elsevier) |
| subjects | Applied sciences Automatic Computer science control theory systems Control system analysis Control theory. Systems Descriptor systems Engineering Sciences Exact sciences and technology LMI Modelling and identification Reduced order filter Unbiased filtering |
| title | Optimal unbiased reduced order filtering for discrete-time descriptor systems via LMI |
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