<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>1665-6423</journal-id>
<journal-title><![CDATA[Journal of applied research and technology]]></journal-title>
<abbrev-journal-title><![CDATA[J. appl. res. technol]]></abbrev-journal-title>
<issn>1665-6423</issn>
<publisher>
<publisher-name><![CDATA[Universidad Nacional Autónoma de México, Instituto de Ciencias Aplicadas y Tecnología]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1665-64232004000200007</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[An implicit controller for the steel level regulation in a vacuum-based continuous casting process]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Barrón]]></surname>
<given-names><![CDATA[M. A.]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[González]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Universidad Autónoma Metropolitana Departamento de Materiales ]]></institution>
<addr-line><![CDATA[Azcapotzalco Distrito Federal]]></addr-line>
<country>México</country>
</aff>
<aff id="A02">
<institution><![CDATA[,Universidad Autónoma Metropólitana Departamento de Sistemas ]]></institution>
<addr-line><![CDATA[Xochimilco Distrito Federal]]></addr-line>
<country>México</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2004</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2004</year>
</pub-date>
<volume>2</volume>
<numero>2</numero>
<fpage>161</fpage>
<lpage>169</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S1665-64232004000200007&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S1665-64232004000200007&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S1665-64232004000200007&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[A nonlinear mathematical model of a vacuum-based continuous casting process and an implicit nonlinear controller are developed. The aim of the controller is the regulation of the mold and tundish molten steel levels. In the proposed approach, the output error is designed to be asymptotically stable, and the current values of the control inputs are numerically determined using the Newton-Rapson iterative procedure. The dynamic performance of the closed-loop system is analyzed using computer simulations.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[En este trabajo se desarrollan un modelo matemático de un proceso de colada continua de acero mediante vacío y un controlador implícito no lineal. El objetivo del controlador es regular los niveles de acero fundido en el molde y el distribuidor. En el enfoque propuesto, el error de salida se diseña de modo que el sistema a lazo cerrado sea asintóticamente estable y los valores actuales de las entradas de control se determinan mediante el método iterativo de Newton-Raphson. El desempeño dinámico del controlador se analiza mediante simulaciones numéricas.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Discrete controller]]></kwd>
<kwd lng="en"><![CDATA[Implicit control]]></kwd>
<kwd lng="en"><![CDATA[Level control]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[  	    <p align="center"><font face="verdana" size="4"><b>An implicit controller for the steel level regulation in a vacuum&#45;based continuous casting process</b></font></p>     <p align="center">&nbsp;</p>  	    <p align="center"><b><font face="verdana" size="2">M. A. Barr&oacute;n<sup>1</sup> &amp; J. Gonz&aacute;lez<sup>2</sup></font></b><font face="verdana" size="2"></font></p>     <p align="center">&nbsp;</p>  	    <p align="justify"><font face="verdana" size="2"><sup>1</sup><i> Departamento de Materiales, Universidad Aut&oacute;noma Metropolitana&#45;Azcapotzalco Apartado Postal 75&#45;338, M&eacute;xico, D.F., M&eacute;xico</i>.</font></p> 	    <p align="justify"><font face="verdana" size="2"><i> <sup>2 </sup>Departamento de Sistemas Universidad Aut&oacute;noma Metropolitana&#45;Azcapotzalco Apartado Postal 75&#45;338, M&eacute;xico, D.F., M&eacute;xico</i>.</font></p>     <p align="justify">&nbsp;</p>  	    <p align="justify"><font face="verdana" size="2">Received: July 3<sup>th</sup> 2002.    <br> Accepted May 9<sup>th</sup> 2003.</font></p>     ]]></body>
<body><![CDATA[<p align="justify">&nbsp;</p>  	    <p align="justify"><b><font face="verdana" size="2">Abstract</font></b></p>  	    <p align="justify"><font face="verdana" size="2">A nonlinear mathematical model of a vacuum&#45;based continuous casting process and an implicit nonlinear controller are developed. The aim of the controller is the regulation of the mold and tundish molten steel levels. In the proposed approach, the output error is designed to be asymptotically stable, and the current values of the control inputs are numerically determined using the Newton&#45;Rapson iterative procedure. The dynamic performance of the closed&#45;loop system is analyzed using computer simulations.</font></p> 	    <p align="justify"><font face="verdana" size="2"><b>Keywords:</b> Discrete controller, Implicit control, Level control.</font></p> 	    <p align="justify">&nbsp;</p>  	    <p align="justify"><font face="verdana" size="2"><b>Resumen</b></font></p>  	    <p align="justify"><font face="verdana" size="2">En este trabajo se desarrollan un modelo matem&aacute;tico de un proceso de colada continua de acero mediante vac&iacute;o y un controlador impl&iacute;cito no lineal. El objetivo del controlador es regular los niveles de acero fundido en el molde y el distribuidor. En el enfoque propuesto, el error de salida se dise&ntilde;a de modo que el sistema a lazo cerrado sea asint&oacute;ticamente estable y los valores actuales de las entradas de control se determinan mediante el m&eacute;todo iterativo de Newton&#45;Raphson. El desempe&ntilde;o din&aacute;mico del controlador se analiza mediante simulaciones num&eacute;ricas.</font></p> 	    <p align="justify">&nbsp;</p>  	    <p align="justify"><font face="verdana" size="2"><a href="/pdf/jart/v2n2/v2n2a7.pdf" target="_blank">DESCARGAR ART&Iacute;CULO EN FORMATO PDF</a></font></p> 	    <p align="justify">&nbsp;</p>  	    ]]></body>
<body><![CDATA[<p align="justify"><font face="verdana" size="2"><b>References</b></font></p>  	    <!-- ref --><p align="justify"><font face="verdana" size="2">&#91;1&#93;&nbsp;Stamp, D.W. "Application of Vacuum Technology to the Tundish". <i>Report EUR 17844 EN,</i> European Commission, United Kingdom, 1998.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=4815496&pid=S1665-6423200400020000700001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>  	    <!-- ref --><p align="justify"><font face="verdana" size="2">&#91;2&#93; Wolf, M. "Responding to the Challenge of High Speed Slab Casting". <i>Steel Times Int.,</i> May/June, 1994, pp. 4.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=4815498&pid=S1665-6423200400020000700002&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --> </font></p> 	    <!-- ref --><p align="justify"><font face="verdana" size="2">&#91;3&#93; Slotine, J.J., Li, W. <i>Applied Nonlinear Control.</i> New Jersey: Prentice&#45;Hall, pp 461, 1991.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=4815500&pid=S1665-6423200400020000700003&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p> 	    <!-- ref --><p align="justify"><font face="verdana" size="2"> &#91;4&#93; Isidori, A. <i>Nonlinear Control Systems.</i> New York: Springer&#45;Verlag, 1995, pp 147&#45;161.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=4815502&pid=S1665-6423200400020000700004&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>  	    <!-- ref --><p align="justify"><font face="verdana" size="2">&#91;5&#93; Ostojic, M. "Numerical Approach to Nonlinear Control Design". <i>Trans. of thee ASME,</i> Vol. 118, 1996, pp. 332&#45;337.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=4815504&pid=S1665-6423200400020000700005&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>  	    <!-- ref --><p align="justify"><font face="verdana" size="2">&#91;6&#93; Barr&oacute;n, M.A., Aguilar, R., Gonz&aacute;lez, J. "Regulation of the Mold Level through Vacuum in a Steel Continuous Casting Process". <i>EEE Proc.&#45;Control Theory and Applications,</i> Vol. 147, 2000, pp. 416&#45;420.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=4815506&pid=S1665-6423200400020000700006&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --> </font></p> 	    <!-- ref --><p align="justify"><font face="verdana" size="2">&#91;7&#93; Burden, R.L., Faires, J.D. <i>Numerical Analysis.</i> New York: PWS Publishing, 1993, pp. 126&#45;148.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=4815508&pid=S1665-6423200400020000700007&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p> 	    <!-- ref --><p align="justify"><font face="verdana" size="2"> &#91;8&#93; Kozak, B., Dzierzawski, J. <i>Continuous Casting of Steel: Basic Principles.</i> Washington: AISI Learning Center, 2002, pp. 9.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=4815510&pid=S1665-6423200400020000700008&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>  	    <!-- ref --><p align="justify"><font face="verdana" size="2">&#91;9&#93; Geiger, G.H., Poirier, D.R. <i>Transport Phenomena in Metallurgy.</i> Menlo Park: Addison&#45;Wesley Publishing, 1973, pp. 136.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=4815512&pid=S1665-6423200400020000700009&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>  	    <!-- ref --><p align="justify"><font face="verdana" size="2">&#91;10&#93; Chakraborty, S., Sahai, Y. "Effect of Varying Ladle Stream Temperature on the Melt Flow and Heat Transfer in Continuous Casting Tundishes". <i>ISIJ Int.,</i> Vol. 31, 1991, pp. 960&#45;967.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=4815514&pid=S1665-6423200400020000700010&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>  	    <!-- ref --><p align="justify"><font face="verdana" size="2">&#91;11&#93;&nbsp;Visioli, A. "Optimal Tuning of PID Controllers for Integral and Unstable Processes". <i>IEE Proc.&#45;Control Theory and Applications,</i> Vol. 148, 2001, pp. 180&#45;184.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=4815516&pid=S1665-6423200400020000700011&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>      ]]></body><back>
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</article>
