Discretization of nonlinear models using a modified Carleman linearization technique
A modification of the Carleman linearization procedure (1932) is proposed for discretizing nonlinear dynamic models for digital control applications. Neglected terms of a truncated Taylor series are approximated as linear combinations of kept terms. The process involves a series of adjustable parame...
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| creator | Al-Tuwaim, M.S. Crisalle, O.D. Svoronos, S.A. |
| description | A modification of the Carleman linearization procedure (1932) is proposed for discretizing nonlinear dynamic models for digital control applications. Neglected terms of a truncated Taylor series are approximated as linear combinations of kept terms. The process involves a series of adjustable parameters which are determined via optimization. Integration of the resulting linear model over a sampling period yields an analytic discrete-time model. Excellent discrete models of low orders are obtained in a study involving the nonlinear model of an isothermal continuous stirred tank reactor. The technique displays improved accuracy over a standard Carleman approach of the same order. |
| doi_str_mv | 10.1109/ACC.1998.688425 |
| format | Conference Proceeding |
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The technique displays improved accuracy over a standard Carleman approach of the same order.</description><subject>Input variables</subject><subject>Linear approximation</subject><subject>Linear systems</subject><subject>Linearization techniques</subject><subject>State estimation</subject><subject>Vectors</subject><subject>Yield estimation</subject><issn>0743-1619</issn><issn>2378-5861</issn><isbn>0780345304</isbn><isbn>9780780345300</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>1998</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNo1kLtOxDAURC0eEtmFGonKP5Dga8f2dbkKT2klmqVeObENRokDcbaArwcUqEZHmjPFEHIJrAJg5nrTNBUYg5VCrLk8IgUXGkuJCo7JimlkopaC1SekYLoWJSgwZ2SV8xtjP55iBdndxNxNfo5fdo5jomOgaUx9TN5OdBid7zM95JheqP3FGKJ3tLFT7web6NL7d2ffvab4cfDn5DTYPvuLv1yT57vbXfNQbp_uH5vNtoyg-Vy2GrTTnUbDkQfZik6i5EGxAFoJGxgHtEIHdJ63YFBgK5ziLkjHOe-CWJOrZTd67_fvUxzs9LlfzhDf9PVR8w</recordid><startdate>1998</startdate><enddate>1998</enddate><creator>Al-Tuwaim, M.S.</creator><creator>Crisalle, O.D.</creator><creator>Svoronos, S.A.</creator><general>IEEE</general><scope>6IE</scope><scope>6IH</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIO</scope></search><sort><creationdate>1998</creationdate><title>Discretization of nonlinear models using a modified Carleman linearization technique</title><author>Al-Tuwaim, M.S. ; Crisalle, O.D. ; Svoronos, S.A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i172t-b717d7c789282f5b3c5852f60f1763af0218a37f8de2b19838b3d62df5d222cf3</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>1998</creationdate><topic>Input variables</topic><topic>Linear approximation</topic><topic>Linear systems</topic><topic>Linearization techniques</topic><topic>State estimation</topic><topic>Vectors</topic><topic>Yield estimation</topic><toplevel>online_resources</toplevel><creatorcontrib>Al-Tuwaim, M.S.</creatorcontrib><creatorcontrib>Crisalle, O.D.</creatorcontrib><creatorcontrib>Svoronos, S.A.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan (POP) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Xplore</collection><collection>IEEE Proceedings Order Plans (POP) 1998-present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Al-Tuwaim, M.S.</au><au>Crisalle, O.D.</au><au>Svoronos, S.A.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Discretization of nonlinear models using a modified Carleman linearization technique</atitle><btitle>Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207)</btitle><stitle>ACC</stitle><date>1998</date><risdate>1998</risdate><volume>5</volume><spage>3084</spage><epage>3088 vol.5</epage><pages>3084-3088 vol.5</pages><issn>0743-1619</issn><eissn>2378-5861</eissn><isbn>0780345304</isbn><isbn>9780780345300</isbn><abstract>A modification of the Carleman linearization procedure (1932) is proposed for discretizing nonlinear dynamic models for digital control applications. Neglected terms of a truncated Taylor series are approximated as linear combinations of kept terms. The process involves a series of adjustable parameters which are determined via optimization. Integration of the resulting linear model over a sampling period yields an analytic discrete-time model. Excellent discrete models of low orders are obtained in a study involving the nonlinear model of an isothermal continuous stirred tank reactor. The technique displays improved accuracy over a standard Carleman approach of the same order.</abstract><pub>IEEE</pub><doi>10.1109/ACC.1998.688425</doi></addata></record> |
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| ispartof | Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207), 1998, Vol.5, p.3084-3088 vol.5 |
| issn | 0743-1619 2378-5861 |
| language | eng |
| recordid | cdi_ieee_primary_688425 |
| source | IEEE Electronic Library (IEL) Conference Proceedings |
| subjects | Input variables Linear approximation Linear systems Linearization techniques State estimation Vectors Yield estimation |
| title | Discretization of nonlinear models using a modified Carleman linearization technique |
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