\contentsline {chapter}{Introducci{\accent 19 o}n.}{1} \contentsline {chapter}{\numberline {1} Modelos Pro\discretionary {-}{}{}me\discretionary {-}{}{}dios de Eu\discretionary {-}{}{}ler--La\discretionary {-}{}{}gran\discretionary {-}{}{}ge de los Con\discretionary {-}{}{}ver\discretionary {-}{}{}ti\discretionary {-}{}{}do\discretionary {-}{}{}res DC--DC.}{5} \contentsline {section}{\numberline {1.1}Generalidades res\discretionary {-}{}{}pec\discretionary {-}{}{}to a los Cir\discretionary {-}{}{}cui\discretionary {-}{}{}tos de Eu\discretionary {-}{}{}ler-Lan\discretionary {-}{}{}gra\discretionary {-}{}{}ge.}{6} \contentsline {section}{\numberline {1.2}Convertidor ``Boost".}{6} \contentsline {subsection}{\numberline {}Modelo Regulado por Conmutaci{\accent 19 o}n.}{7} \contentsline {subsection}{\numberline {}Formulaci{\accent 19 o}n de Lagrange del Modelo Promedio PWM.}{8} \contentsline {subsection}{\numberline {}Realizaci{\accent 19 o}n Ideal del Modelo Promedio PWM.}{12} \contentsline {subsection}{\numberline {}Algunos Puntos Relevantes.}{14} \contentsline {section}{\numberline {1.3}Convertidor ``Buck--Boost".}{16} \contentsline {subsection}{\numberline {}Modelo Regulado mediante Conmutaci{\accent 19 o}n.}{17} \contentsline {subsection}{\numberline {}Formulaci{\accent 19 o}n de Lagrange, Mode\discretionary {-}{}{}lo Pro\discretionary {-}{}{}me\discretionary {-}{}{}dio PWM.}{17} \contentsline {subsection}{\numberline {}Algunos Puntos Relevantes.}{20} \contentsline {section}{\numberline {1.4}Convertidor ``Buck".}{21} \contentsline {chapter}{\numberline {2} Metodolog{\accent 19 \i }a de Dise{\accent "7E n}o en Base a Pa\discretionary {-}{}{}si\discretionary {-}{}{}vi\discretionary {-}{}{}dad pa\discretionary {-}{}{}ra Con\discretionary {-}{}{}ver\discretionary {-}{}{}ti\discretionary {-}{}{}do\discretionary {-}{}{}res de Po\discretionary {-}{}{}ten\discretionary {-}{}{}cia DC--DC.}{25} \contentsline {section}{\numberline {2.1}Controladores en Base a Pa\discretionary {-}{}{}si\discretionary {-}{}{}vi\discretionary {-}{}{}dad para Convertidores DC--DC.}{25} \contentsline {subsection}{\numberline {}Circuito ``Boost".}{26} \contentsline {subsubsection}{\numberline {}Regulaci{\accent 19 o}n Directa del Voltaje de Salida.}{26} \contentsline {subsubsection}{\numberline {}Regulaci{\accent 19 o}n Indirecta del Voltaje de Salida.}{28} \contentsline {subsubsection}{\numberline {}Algunos Puntos Relevantes.}{29} \contentsline {subsection}{\numberline {}Convertidor ``Buck--Boost".}{32} \contentsline {subsection}{\numberline {}Convertidor ``Buck".}{35} \contentsline {section}{\numberline {2.2}Controladores Adaptativos en base a Pasividad para Convertidores DC--DC.}{38} \contentsline {subsection}{\numberline {}Convertidor ``Boost".}{39} \contentsline {subsection}{\numberline {}Convertidor ``Buck--Boost".}{42} \contentsline {subsection}{\numberline {}Convertidor ``Buck".}{45} \contentsline {section}{\numberline {2.3}Circuito Convertidor Boost en Cascada}{46} \contentsline {subsection}{\numberline {}Dise{\accent "7E n}o del Control Adaptativo. }{50} \contentsline {chapter}{\numberline {3} Regulaci{\accent 19 o}n Din{\accent 19 a}\discretionary {-}{}{}mica Adapta\discretionary {-}{}{}tiva Contro\discretionary {-}{}{}landoLa Fase No-m{\accent 19 \i }\discretionary {-}{}{}nima en Convertidores DC-DC.}{56} \contentsline {section}{\numberline {3.1}Linealizaci{\accent 19 o}n de Sistemas Inciertos de Fase No--m{\accent 19 \i }\discretionary {-}{}{}ni\discretionary {-}{}{}ma v{\accent 19 \i }a una Compensaci{\accent 19 o}n Di\discretionary {-}{}{}n{\accent 19 a}\discretionary {-}{}{}mi\discretionary {-}{}{}ca, Inestable a tra\discretionary {-}{}{}mos.}{57} \contentsline {subsection}{\numberline {}Dise{\accent "7E n}o de Compensadores Inestables No--lineales.}{58} \contentsline {subsection}{\numberline {}Estrategia de Reinicios para la Compensaci{\accent 19 o}n Din{\accent 19 a}mica.}{61} \contentsline {subsection}{\numberline {}Adaptaci{\accent 19 o}n Retroalimentada en Sistemas de Fase No--m{\accent 19 \i }\discretionary {-}{}{}ni\discretionary {-}{}{}ma.}{63} \contentsline {section}{\numberline {3.2}Adaptaci{\accent 19 o}n Din{\accent 19 a}mica, estabilizante, ines\discretionary {-}{}{}ta\discretionary {-}{}{}ble a tra\discretionary {-}{}{}mos en Convertidores DC--DC. }{67} \contentsline {subsection}{\numberline {}Circuito Convertidor ``boost"}{67} \contentsline {subsection}{\numberline {}Convertidor ``Buck--Boost".}{75} \contentsline {chapter}{\numberline {4}Adaptaci{\accent 19 o}n Din{\accent 19 a}mica v{\accent 19 \i }a PWM en convertidores de potencia DC--DC, M{\accent 19 e}todo Backstepping}{81} \contentsline {section}{\numberline {4.1}Estrateg{\accent 19 \i }a de linea\discretionary {-}{}{}liza\discretionary {-}{}{}ci{\accent 19 o}n entra\discretionary {-}{}{}da-sali\discretionary {-}{}{}da pa\discretionary {-}{}{}ra con\discretionary {-}{}{}ver\discretionary {-}{}{}tidores de potencia DC--DC}{82} \contentsline {section}{\numberline {4.2}Circuito Boost}{83} \contentsline {section}{\numberline {4.3}Estra\discretionary {-}{}{}teg{\accent 19 \i }a de Con\discretionary {-}{}{}trol retro\discretionary {-}{}{}alimen\discretionary {-}{}{}tado adap\discretionary {-}{}{}ta\discretionary {-}{}{}tivo pa\discretionary {-}{}{}ra la regu\discretionary {-}{}{}la\discretionary {-}{}{}ci{\accent 19 o}n In\discretionary {-}{}{}di\discretionary {-}{}{}recta de la Sa\discretionary {-}{}{}li\discretionary {-}{}{}da de Vol\discretionary {-}{}{}ta\discretionary {-}{}{}je en Con\discretionary {-}{}{}ver\discretionary {-}{}{}ti\discretionary {-}{}{}dores DC--DC}{88} \contentsline {subsection}{\numberline {}Circuito Convertidor Boost}{88} \contentsline {subsection}{\numberline {}Resumen de las expresiones del controlador adaptativo}{94} \contentsline {subsection}{\numberline {}Convertidor buck-boost}{97} \contentsline {subsection}{\numberline {}Resumen de expresiones}{99} \contentsline {chapter}{\numberline {5} Discretizaci{\accent 19 o}n Exacta y Dise{\accent "7E n}o de Controladores para Convertidores de Potencia DC--DC Derivados.}{102} \contentsline {section}{\numberline {5.1}Controladores mediante un Esquema de Discretizaci{\accent 19 o}n Exacta v{\accent 19 \i }a PWM.}{102} \contentsline {subsection}{\numberline {}Convertidor ``Buck--Derivado".}{103} \contentsline {subsubsection}{\numberline {}Discretizaci{\accent 19 o}n Exacta.}{104} \contentsline {subsubsection}{\numberline {}Pol{\accent 19 \i }tica de Control Estabilizante PWM.}{107} \contentsline {subsection}{\numberline {}Convertidor ``Boost--Derivado".}{110} \contentsline {subsubsection}{\numberline {}Discretizaci{\accent 19 o}n Exacta}{110} \contentsline {subsubsection}{\numberline {}Pol{\accent 19 \i }tica de Control Estabilizante Impl{\accent 19 \i }cita PWM.}{113} \contentsline {subsection}{\numberline {}Circuito ``Buck--Boost--Derivado".}{116} \contentsline {section}{\numberline {5.2}Controladores v{\accent 19 \i }a Modulaci{\accent 19 o}n de Frecuencia de Pulsos.}{120} \contentsline {subsection}{\numberline {}Convertidor ``Buck--Derivado".}{121} \contentsline {subsubsection}{\numberline {}Discretizaci{\accent 19 o}n Exacta.}{122} \contentsline {subsubsection}{\numberline {}Una Pol{\accent 19 \i }tica de Control PFM.}{126} \contentsline {subsection}{\numberline {}Convertidor ``Boost--Derivado".}{129} \contentsline {subsubsection}{\numberline {}Discretizaci{\accent 19 o}n Exacta}{129} \contentsline {subsubsection}{\numberline {}Pol{\accent 19 \i }tica de Control Estabilizante}{132} \contentsline {subsection}{\numberline {}Convertidor ``Buck--Boost--Derivado".}{134} \contentsline {section}{\numberline {5.3}Estrateg{\accent 19 \i }a de Regulaci{\accent 19 o}n de Modelos de 2o. orden, mediante PWM, en tiempo discreto}{138} \contentsline {subsection}{\numberline {}Circuito Convertidor ``Boost"}{138} \contentsline {subsubsection}{\numberline {}Discretizaci{\accent 19 o}n exacta}{139} \contentsline {subsubsection}{\numberline {}Formulaci{\accent 19 o}n del modelo discretizado}{139} \contentsline {subsubsection}{\numberline {}Pol{\accent 19 \i }tica de Control Estabilizante}{144} \contentsline {subsubsection}{\numberline {}Unicidad de soluci{\accent 19 o}n}{144} \contentsline {subsection}{\numberline {}Circuito ``Buck--Boost}{146} \contentsline {subsection}{\numberline {}Convertidor ``Buck"}{149} \contentsline {section}{\numberline {5.4}Seguimiento de Se\discretionary {-}{}{}{\accent "7E n}a\discretionary {-}{}{}les v{\accent 19 \i }a Modelo Pro\discretionary {-}{}{}me\discretionary {-}{}{}dio en Tiem\discretionary {-}{}{}po Dis\discretionary {-}{}{}creto.}{151} \contentsline {subsection}{\numberline {}Convertidor ``Buck-Derivado".}{152} \contentsline {subsubsection}{\numberline {}Seguimiento de la Corriente Promedio de Entrada}{154} \contentsline {subsection}{\numberline {}Convertidor ``Boost--Derivado".}{156} \contentsline {subsubsection}{\numberline {}Seguimiento de la Corriente Promedio de Entrada}{157} \contentsline {subsection}{\numberline {}Convertidor ``Buck-Boost--derivado".}{158} \contentsline {chapter}{Conclusiones.}{161} Bibliograf{\accent 19 \i }a.