Diseño de un Controlador Difuso mediante la Síntesis Difusa de Lyapunov para la Estabilización de un Péndulo de Rueda Inercial
Design of a fuzzy controller via fuzzy Lyapunov synthesis for the stabilization of an inertial wheel pendulum
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"apellidos" => "Cardenas-Maciel" "email" => array:1 [ 0 => "lilettecardenas@ieee.org" ] "referencia" => array:1 [ 0 => array:2 [ "etiqueta" => "<span class="elsevierStyleSup">a</span>" "identificador" => "aff0005" ] ] ] 3 => array:4 [ "nombre" => "Carlos A." "apellidos" => "Goribar-Jimenez" "email" => array:1 [ 0 => "cgoribar@tectijuana.edu.mx" ] "referencia" => array:1 [ 0 => array:2 [ "etiqueta" => "<span class="elsevierStyleSup">a</span>" "identificador" => "aff0005" ] ] ] 4 => array:4 [ "nombre" => "Mauricio" "apellidos" => "Odreman-Vera" "email" => array:1 [ 0 => "mauricio.odreman@tectijuana.edu.mx" ] "referencia" => array:1 [ 0 => array:2 [ "etiqueta" => "<span class="elsevierStyleSup">a</span>" "identificador" => "aff0005" ] ] ] ] "afiliaciones" => array:2 [ 0 => array:3 [ "entidad" => "Tecnológico Nacional de México - Instituto Tecnológico de Tijuana, Av. ITR Tijuana y Blvd. Alberto Limón Padilla, S/N, 22510, Tijuana, Baja California, México" "etiqueta" => "a" "identificador" => "aff0005" ] 1 => array:3 [ "entidad" => "Instituto Politécnico Nacional–CITEDI, avenida Instituto Politécnico Nacional No. 1310 Colonia Nueva Tijuana, Tijuana 22435 México" "etiqueta" => "b" "identificador" => "aff0010" ] ] "correspondencia" => array:1 [ 0 => array:3 [ "identificador" => "cor0005" "etiqueta" => "⁎" "correspondencia" => "Autor para correspondencia." ] ] ] ] "titulosAlternativos" => array:1 [ "en" => array:1 [ "titulo" => "Design of a fuzzy controller via fuzzy Lyapunov synthesis for the stabilization of an inertial wheel pendulum" ] ] "textoCompleto" => "<span class="elsevierStyleSections"><span id="sec0005" class="elsevierStyleSection elsevierViewall"><span class="elsevierStyleSectionTitle" id="sect0025">Referencias no citadas</span><p id="par0005" class="elsevierStylePara elsevierViewall"><a class="elsevierStyleCrossRef" href="#bib0005">Andary et al., 2009</a>, <a class="elsevierStyleCrossRef" href="#bib0010">Andrievsky, 2011</a>, <a class="elsevierStyleCrossRef" href="#bib0015">Becerikli and Celik, 2007</a>, <a class="elsevierStyleCrossRef" href="#bib0020">Brockett, 1983</a>, <a class="elsevierStyleCrossRef" href="#bib0025">Castillo et al., 2008</a>, <a class="elsevierStyleCrossRef" href="#bib0030">Castillo et al., 2006</a>, <a class="elsevierStyleCrossRef" href="#bib0035">Cazarez-Castro et al., 2010</a>, <a class="elsevierStyleCrossRef" href="#bib0040">Hernández, 2003</a>, <a class="elsevierStyleCrossRef" href="#bib0045">Iriarte et al., 2013</a>, <a class="elsevierStyleCrossRef" href="#bib0050">Kelly et al., 2000</a>, <a class="elsevierStyleCrossRef" href="#bib0055">Khalil, 2002</a>, <a class="elsevierStyleCrossRef" href="#bib0060">Korotnikov, 1998</a>, <a class="elsevierStyleCrossRef" href="#bib0110">Lyapunov, 1892</a>, <a class="elsevierStyleCrossRef" href="#bib0070">Mamdani and Assilian, 1975</a>, <a class="elsevierStyleCrossRef" href="#bib0075">Margaliot and Langholz, 1999</a>, <a class="elsevierStyleCrossRef" href="#bib0080">Martinez-Soto et al., 2012</a>, <a class="elsevierStyleCrossRef" href="#bib0085">Ng et al., 2013</a>, <a class="elsevierStyleCrossRef" href="#bib0090">Qaiser et al., 2006</a>, <a class="elsevierStyleCrossRef" href="#bib0095">Qaiser et al., 2007</a>, <a class="elsevierStyleCrossRef" href="#bib0100">Ye et al., 2007</a> and <a class="elsevierStyleCrossRef" href="#bib0105">Yi and Yubazaki, 2000</a>.</p></span></span>" "textoCompletoSecciones" => array:1 [ "secciones" => array:6 [ 0 => array:3 [ "identificador" => "xres830661" "titulo" => "Resumen" "secciones" => array:1 [ 0 => array:1 [ "identificador" => "abst0005" ] ] ] 1 => array:2 [ "identificador" => "xpalclavsec826656" "titulo" => "Palabras clave" ] 2 => array:3 [ "identificador" => "xres830662" "titulo" => "Abstract" "secciones" => array:1 [ 0 => array:1 [ "identificador" => "abst0010" ] ] ] 3 => array:2 [ "identificador" => "xpalclavsec826657" "titulo" => "Keywords" ] 4 => array:2 [ "identificador" => "sec0005" "titulo" => "Referencias no citadas" ] 5 => array:1 [ "titulo" => "Referencias" ] ] ] "pdfFichero" => "main.pdf" "tienePdf" => true "PalabrasClave" => array:2 [ "es" => array:1 [ 0 => array:4 [ "clase" => "keyword" "titulo" => "Palabras clave" "identificador" => "xpalclavsec826656" "palabras" => array:3 [ 0 => "Control difuso" 1 => "Estabilidad de Lyapunov" 2 => "Sistema subactuado" ] ] ] "en" => array:1 [ 0 => array:4 [ "clase" => "keyword" "titulo" => "Keywords" "identificador" => "xpalclavsec826657" "palabras" => array:3 [ 0 => "Fuzzy control" 1 => "Lyapunov stability" 2 => "Underactuated system" ] ] ] ] "tieneResumen" => true "resumen" => array:2 [ "es" => array:2 [ "titulo" => "Resumen" "resumen" => "<span id="abst0005" class="elsevierStyleSection elsevierViewall"><p id="spar0005" class="elsevierStyleSimplePara elsevierViewall">En el presente trabajo se reporta el diseño de un controlador difuso tipo Mamdani para el problema de estabilización de un péndulo de rueda inercial. Las reglas difusas son obtenidas mediante la síntesis difusa de Lyapunov, lo cual permite mantener al mínimo el uso de la heurística, y desde la etapa de diseño garantizar estabilidad en lazo cerrado. Por otra parte el diseño de las reglas difusas es mucho más simple que la ardua tarea de resolver las ecuaciones diferenciales no lineales usadas tradicionalmente para modelar sistemas de control. Merece énfasis especial el hecho de que el diseño se hace libre del modelo matemático del sistema a controlar.</p></span>" ] "en" => array:2 [ "titulo" => "Abstract" "resumen" => "<span id="abst0010" class="elsevierStyleSection elsevierViewall"><p id="spar0010" class="elsevierStyleSimplePara elsevierViewall">In this paper was presented the design of a Mamdani type fuzzy controller to solve the stabilization problem for an inertial wheel pendulum. The fuzzy rule base are designed following the fuzzy Lyapunov synthesis, which guarantee the local asymptotic stability of the closed-loop system, by using a Lyapunov function whose time-derivative is negative semidefinite, while the use of heuristics is minimized in the design process. Moreover, the design of the fuzzy rule base is simplest than the hard task of solve the nonlinear differential equations traditionally used to model control systems. Deserves special emphasis the fact that the design is made without a mathematical model of the inertia wheel pendulum.</p></span>" ] ] "bibliografia" => array:2 [ "titulo" => "Referencias" "seccion" => array:1 [ 0 => array:2 [ "identificador" => "bibs0005" "bibliografiaReferencia" => array:21 [ 0 => array:3 [ "identificador" => "bib0005" "etiqueta" => "Andary et al., 2009" "referencia" => array:1 [ 0 => array:2 [ "contribucion" => array:1 [ 0 => array:2 [ "titulo" => "Control of the underactuated inertia wheel inverted pendulum for stable limit cycle generation" "autores" => array:1 [ 0 => array:2 [ "etal" => false "autores" => array:3 [ 0 => "S. Andary" 1 => "A. Chemori" 2 => "S. 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| año/Mes | Html | Total | |
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