<?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>0121-750X</journal-id>
<journal-title><![CDATA[Ingeniería]]></journal-title>
<abbrev-journal-title><![CDATA[ing.]]></abbrev-journal-title>
<issn>0121-750X</issn>
<publisher>
<publisher-name><![CDATA[Universidad Distrital Francisco José de Caldas]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0121-750X2025000200009</article-id>
<article-id pub-id-type="doi">10.14483/23448393.22111</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Methodology Based on the Squared Error Integral for the Design of Fuzzy Controllers]]></article-title>
<article-title xml:lang="es"><![CDATA[Metodología basada en la integral del error al cuadrado para el diseño de controladores difusos]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Gutiérrez-Rosales]]></surname>
<given-names><![CDATA[David]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Jimenez-Ramirez]]></surname>
<given-names><![CDATA[Josué]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Rincon-Canalizo]]></surname>
<given-names><![CDATA[Ezequiel]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Jiménez-Ramírez]]></surname>
<given-names><![CDATA[Omar]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Aguilar-Torres]]></surname>
<given-names><![CDATA[Daniel]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Vázquez-Medina]]></surname>
<given-names><![CDATA[Rubén]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Instituto Politécnico Nacional  ]]></institution>
<addr-line><![CDATA[Mexico City ]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Instituto Politécnico Nacional  ]]></institution>
<addr-line><![CDATA[Mexico City ]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Instituto Politécnico Nacional  ]]></institution>
<addr-line><![CDATA[Mexico City ]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,Instituto Politécnico Nacional  ]]></institution>
<addr-line><![CDATA[Mexico City ]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af5">
<institution><![CDATA[,Instituto Politécnico Nacional  ]]></institution>
<addr-line><![CDATA[Queretaro ]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af6">
<institution><![CDATA[,Instituto Politécnico Nacional  ]]></institution>
<addr-line><![CDATA[Queretaro ]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>08</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>08</month>
<year>2025</year>
</pub-date>
<volume>30</volume>
<numero>2</numero>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0121-750X2025000200009&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0121-750X2025000200009&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0121-750X2025000200009&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract  Context:  This work applies an experimental methodology to the design of a control system based on a non-conventional Mamdani fuzzy controller that regulates the speed of an encoder-based DC motor.  Method:  The proposed methodology consists of four steps: i) fuzzy controller input/output selection, ii) fuzzy controller design, iii) controller hardware implementation, and iv) membership function parameterization. This methodology generates seven pairs of unique error and control signals that are differentiated by experimentally adjusting the parameters of the triangular membership functions used for the fuzzy controller design, which was implemented in an Atmega328P micro-controller. For each of the seven approaches defined, an experiment was performed, performing a control action to obtain the transient response of the DC motor speed when the reference was a step-type signal.  Results:  The motor response and the reference signal were used to calculate the error, whose squared error integral was estimated to determine which experimental approach yielded the best fuzzy control results, i.e., with the lowest possible error.  Conclusions:  The proposed methodology ensures the minimization of the squared error integral between the signal to be controlled and the reference signal. For fitting 6, the performance index obtained was J = 0.0002, which represents a decrease of &#8776; 99.99% with respect to the worst case (fitting 1), whose performance index was J = 4.10.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen  Contexto:  Este trabajo aplica una metodología experimental al diseño de un sistema de control basado en un controlador difuso no convencional del tipo Mamdani que regula la velocidad de un motor DC basado en encoders.  Métodos:  La metodología propuesta constade cuatro pasos: i) selección de la entrada/salida del controlador difuso, ii) diseño del controlador difuso, iii) implementación en hardware del controlador yiv) parametrización de las funciones de membresía. Esta metodología genera siete pares de señales únicas de error y de control que se diferencian ajustando experimentalmente los parámetros de las funciones de membresía triangulares usadas para el diseño del controlador difuso, el cual se implementó en un microcontrolador Atmega 328P. Para cada uno de los siete en foques usados, se realizó un experimento en el que se realizó una acción de control para obtener la respuesta transitoria de la velocidaddelmotordeDCcuandolareferenciaeraunaseñaldetipoescalón.  Resultados:  La respuesta del motor y la señal de referencia se utilizaron para calcular el error, cuya integral de error al cuadrado se estimó a fin de determinar qué enfoque experimental brindaba los mejores resultados de control difuso,i.e.,con el menor error posible.  Conclusiones:  La metodología propuesta garantiza la minimización de la integral del error al cuadrado entre la señal a controlar y la señal de referencia. Para el ajuste 6, el índice de desempeño obtenido fue J=0.0002, lo que representa una disminución de&#8776;99.99% respecto al peor caso(ajuste1), donde el índice de desempeño fue J=4.10.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Fuzzy controller design]]></kwd>
<kwd lng="en"><![CDATA[Fuzzy experimental method]]></kwd>
<kwd lng="en"><![CDATA[criterion of squared error integral]]></kwd>
<kwd lng="en"><![CDATA[Mamdani controller]]></kwd>
<kwd lng="en"><![CDATA[and membership function parameterization]]></kwd>
<kwd lng="es"><![CDATA[Diseño de controladores difusos]]></kwd>
<kwd lng="es"><![CDATA[método de diseño fuzzy]]></kwd>
<kwd lng="es"><![CDATA[criterio de la integral del error al cuadrado]]></kwd>
<kwd lng="es"><![CDATA[controlador Mamdani y parametrización de la función de membresía]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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