<?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>0120-6230</journal-id>
<journal-title><![CDATA[Revista Facultad de Ingeniería Universidad de Antioquia]]></journal-title>
<abbrev-journal-title><![CDATA[Rev.fac.ing.univ. Antioquia]]></abbrev-journal-title>
<issn>0120-6230</issn>
<publisher>
<publisher-name><![CDATA[Facultad de Ingeniería, Universidad de Antioquia]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0120-62302016000300142</article-id>
<article-id pub-id-type="doi">10.17533/udea.redin.n80a15</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[A novel method for fuzzy scale factors scheduling in fuzzy PD+I with anti-windup system controllers]]></article-title>
<article-title xml:lang="es"><![CDATA[Un nuevo método para la programación difusa de los factores de escala en controladores difusos PD+I con sistema anti-windup]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Sartorius-Castellanos]]></surname>
<given-names><![CDATA[Aldo Rafael]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Moreno-Vázquez]]></surname>
<given-names><![CDATA[José de Jesús]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Antonio-Ortiz]]></surname>
<given-names><![CDATA[Raúl]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Hernández-Nieto]]></surname>
<given-names><![CDATA[Marcia Lorena]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Instituto Tecnológico de Minatitlán Departamento de Ingeniería Electrónica ]]></institution>
<addr-line><![CDATA[Minatitlán ]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>07</month>
<year>2016</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>07</month>
<year>2016</year>
</pub-date>
<numero>80</numero>
<fpage>142</fpage>
<lpage>151</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0120-62302016000300142&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0120-62302016000300142&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0120-62302016000300142&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract The adjustment of scale factors in fuzzy controllers is a key factor in their correct functioning. In two-inputs fuzzy PID controllers, such as fuzzy PI+D (FPI+D) and fuzzy PD+I (FPD+I), the adjustment of scale factors is directly related to the adjustment of the gains of a PID controller using some of the traditional methods of adjustment. In systems that have control signal saturation, fuzzy PID controllers require anti-windup systems (AW) that limit the controller&#8217;s integral action. In these situations, the adjustments of scale factors are not directly related to the adjustment of gains of a PID controller. Its use increases the overall gain system and creates an unbounded controller, which causes a faster response in the transient state but an oscillatory behavior and even critical stability in the steady state of the response. A solution to this problem is to reduce the output scale factor, to create a bounded controller, in which the tracking time constant is augmented. Consequently, the system presents more bounded oscillations in the steady state, but the transient response is slower. The main motivation of this research was to develop an approach for adjusting fuzzy PD+I controllers with an anti-windup system (FPD+I AW) with faster response in the transient state and without oscillatory behavior in the steady state. This approach uses a second fuzzy controller, which adjusts the output scale factor and the tracking time constant according to the actual system error. To verify the effectiveness of the proposed approach, a fuzzy PD+I controller with an AW system based on tracking back calculation and fuzzy scale factor scheduling (FPD+I AW-FSFS) was implemented and used to control the speed in a direct current motor with control signal saturation and was compared with the responses of FPD+I unbounded and FPD+I bounded controllers with AWs based on tracking back calculation, thereby proving the effectiveness of the proposed method.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen El ajuste de los factores de escala en los controladores difusos es un factor clave para su correcto funcionamiento. En controladores difusos PID con dos entradas, como los controladores difusos PI+D (FPI+D) y PD+I (FPD+I), el ajuste de los factores de escala está directamente relacionado con el ajuste de las ganancias de un controlador PID, utilizando alguno de los métodos tradicionales de ajuste. En sistemas que presentan saturación en la señal de control, los controladores difusos PID requieren un sistema de anti-windup (AW) que limite la acción integral del controlador. En estos casos, el ajuste de los factores de escala no está relacionado directamente al ajuste de las ganancias de un controlador PID. Utilizar este ajuste de ganancias, incrementa la ganancia general del sistema, creando un controlador sin acotar, el cual presenta una rápida respuesta en el estado transitorio, pero un comportamiento oscilatorio, e incluso críticamente inestable en la respuesta en estado estable. Una solución a este problema es reducir el factor de escala de salida, creando un controlador acotado, con lo cual la constante de tiempo de seguimiento se incrementa. Con ello el sistema presenta oscilaciones más acotadas en el estado estacionario, pero su estado transitorio es más lento. La principal motivación de esta investigación fue obtener un método para ajustar controladores difusos PD+I con sistema anti-windup (FPD+I AW) con una respuesta rápida en estado transitorio y sin que presenten un comportamiento oscilatorio en estado estable, utilizando para ello un segundo controlador difuso, el cual ajusta el factor de escala de salida y la constante de tiempo de seguimiento de acuerdo al error actual del sistema. Para verificar el método propuesto, un controlador difuso PD+I con sistema anti-windup basado en la técnica de cálculo de retorno y programación difusa de los factores de escala (FPD+I AW-FSFS) fue implementado y utilizado para controlar la velocidad de un motor de corriente directa con saturación en la señal de control y su respuesta fue comparada con las respuestas de los controladores FPD+I sin acotamiento y FPD+I acotado, todos con AW basado en la técnica de cálculo de retorno, demostrando así la eficacia del método propuesto.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Anti-windup]]></kwd>
<kwd lng="en"><![CDATA[controller]]></kwd>
<kwd lng="en"><![CDATA[fuzzy]]></kwd>
<kwd lng="en"><![CDATA[factor scheduling]]></kwd>
<kwd lng="es"><![CDATA[Anti-windup]]></kwd>
<kwd lng="es"><![CDATA[controlador]]></kwd>
<kwd lng="es"><![CDATA[difuso]]></kwd>
<kwd lng="es"><![CDATA[programación de factores]]></kwd>
</kwd-group>
</article-meta>
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