Parametric approaches for observer design in high-order descriptor linear systems
This paper considers the problem of observer design in high-order descriptor linear systems. Parametric expressions for the left eigenvectors associated with the finite eigenvalues of the observer and simple and complete parametric solutions for the observer gain matrices are obtained on the basis o...
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| creator | Haihua Yu Degang Bi |
| description | This paper considers the problem of observer design in high-order descriptor linear systems. Parametric expressions for the left eigenvectors associated with the finite eigenvalues of the observer and simple and complete parametric solutions for the observer gain matrices are obtained on the basis of the parametric solution of the generalized high-order Sylvester matrix equation. This approach does not impose any restriction on the observer eigenvalues. An illustrative example shows the effect of the proposed approaches. |
| doi_str_mv | 10.1109/CCDC.2012.6242939 |
| format | Conference Proceeding |
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Parametric expressions for the left eigenvectors associated with the finite eigenvalues of the observer and simple and complete parametric solutions for the observer gain matrices are obtained on the basis of the parametric solution of the generalized high-order Sylvester matrix equation. This approach does not impose any restriction on the observer eigenvalues. An illustrative example shows the effect of the proposed approaches.</description><identifier>ISSN: 1948-9439</identifier><identifier>ISBN: 9781457720734</identifier><identifier>ISBN: 1457720736</identifier><identifier>EISSN: 1948-9447</identifier><identifier>EISBN: 1457720728</identifier><identifier>EISBN: 1457720744</identifier><identifier>EISBN: 9781457720741</identifier><identifier>EISBN: 9781457720727</identifier><identifier>DOI: 10.1109/CCDC.2012.6242939</identifier><language>eng</language><publisher>IEEE</publisher><subject>Automation ; Eigenvalues and eigenfunctions ; Equations ; High-order descriptor linear systems ; high-order Sylvester matrix equation ; Linear systems ; Mathematical model ; observer design ; Observers ; parametric approaches ; Vectors</subject><ispartof>2012 24th Chinese Control and Decision Conference (CCDC), 2012, p.465-469</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/6242939$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>309,310,780,784,789,790,2058,27925,54920</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/6242939$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Haihua Yu</creatorcontrib><creatorcontrib>Degang Bi</creatorcontrib><title>Parametric approaches for observer design in high-order descriptor linear systems</title><title>2012 24th Chinese Control and Decision Conference (CCDC)</title><addtitle>CCDC</addtitle><description>This paper considers the problem of observer design in high-order descriptor linear systems. Parametric expressions for the left eigenvectors associated with the finite eigenvalues of the observer and simple and complete parametric solutions for the observer gain matrices are obtained on the basis of the parametric solution of the generalized high-order Sylvester matrix equation. This approach does not impose any restriction on the observer eigenvalues. An illustrative example shows the effect of the proposed approaches.</description><subject>Automation</subject><subject>Eigenvalues and eigenfunctions</subject><subject>Equations</subject><subject>High-order descriptor linear systems</subject><subject>high-order Sylvester matrix equation</subject><subject>Linear systems</subject><subject>Mathematical model</subject><subject>observer design</subject><subject>Observers</subject><subject>parametric approaches</subject><subject>Vectors</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>eNo9kFtLw0AUhNcb2Nb-APFl_0Di3pKz51FivUBBBX0um81Js9I2YTcI_fcWWn0amG8YmGHsVopcSoH3VfVY5UpIlZfKKNR4xqbSFABKgLLnbCLR2AyNgQs2R7B_TJvLf6bxmk1T-haiLLUQE_bx7qLb0hiD524YYu98R4m3feR9nSj-UOQNpbDe8bDjXVh3WR-bo-ljGMZDcBN25CJP-zTSNt2wq9ZtEs1POmNfT4vP6iVbvj2_Vg_LLEgoxgyV1YZEoWokW5RNawFRS_C1dHWNnlARtl4LVYAjedhbgLAArilL8A3oGbs79gYiWg0xbF3cr07X6F_nf1QX</recordid><startdate>201205</startdate><enddate>201205</enddate><creator>Haihua Yu</creator><creator>Degang Bi</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>Parametric approaches for observer design in high-order descriptor linear systems</title><author>Haihua Yu ; Degang Bi</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i175t-92834e052b9e856df8799317cb1abb9ce92e9fc30257ae1293570877ad667cd73</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Automation</topic><topic>Eigenvalues and eigenfunctions</topic><topic>Equations</topic><topic>High-order descriptor linear systems</topic><topic>high-order Sylvester matrix equation</topic><topic>Linear systems</topic><topic>Mathematical model</topic><topic>observer design</topic><topic>Observers</topic><topic>parametric approaches</topic><topic>Vectors</topic><toplevel>online_resources</toplevel><creatorcontrib>Haihua Yu</creatorcontrib><creatorcontrib>Degang Bi</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>Haihua Yu</au><au>Degang Bi</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Parametric approaches for observer design in high-order descriptor linear systems</atitle><btitle>2012 24th Chinese Control and Decision Conference (CCDC)</btitle><stitle>CCDC</stitle><date>2012-05</date><risdate>2012</risdate><spage>465</spage><epage>469</epage><pages>465-469</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 the problem of observer design in high-order descriptor linear systems. Parametric expressions for the left eigenvectors associated with the finite eigenvalues of the observer and simple and complete parametric solutions for the observer gain matrices are obtained on the basis of the parametric solution of the generalized high-order Sylvester matrix equation. This approach does not impose any restriction on the observer eigenvalues. An illustrative example shows the effect of the proposed approaches.</abstract><pub>IEEE</pub><doi>10.1109/CCDC.2012.6242939</doi><tpages>5</tpages></addata></record> |
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| ispartof | 2012 24th Chinese Control and Decision Conference (CCDC), 2012, p.465-469 |
| issn | 1948-9439 1948-9447 |
| language | eng |
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| source | IEEE Electronic Library (IEL) Conference Proceedings |
| subjects | Automation Eigenvalues and eigenfunctions Equations High-order descriptor linear systems high-order Sylvester matrix equation Linear systems Mathematical model observer design Observers parametric approaches Vectors |
| title | Parametric approaches for observer design in high-order descriptor linear systems |
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