{"id":41816,"date":"1999-01-01T00:00:00","date_gmt":"1999-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/flatness-tangent-systems-and-flat-outputs\/"},"modified":"1999-01-01T00:00:00","modified_gmt":"1999-01-01T00:00:00","slug":"flatness-tangent-systems-and-flat-outputs","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/flatness-tangent-systems-and-flat-outputs\/","title":{"rendered":"Flatness, tangent systems and flat outputs."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Jaime Franch Bullich <\/strong><\/h2>\n<p>En esta tesis doctoral se presentan diversos m\u00e9todos para la linealizaci\u00f3n de sistemas de control no lineales o para el estudio de la platitud. Se utilizan dos aproximaciones diferentes, en concreto: geometr\u00eda diferencialy \u00e1lgebra diferencial.  en el marco de \u00e1lgebra diferencial, se presenta un estudio de los sistemas lineales de control desde la perspectiva de la teor\u00eda de m\u00f3dulos. a pesar de que los resultados han sido establecidos previamente por otros autores, algunas demostraciones y ejemplos son originales. entre las nuevas demostraciones cabe resaltar la que se refiere a la equiValencia entre sistemas de control lineales en representaci\u00f3n de variables de estado, y los m\u00f3dulos sobre un anillo de operadores diferenciales. Los resultados de este estudio son ampliamente utilizados en el desarrollo de otros cap\u00edtulos de la tesis en los que se usa el \u00e1lgebra diferencial. En este contexto las principales contribuciones son:  una nueva demostraci\u00f3n del hecho, bien conocido, que la linealizaci\u00f3n por realimentaci\u00f3n est\u00e1tica y la linealizaci\u00f3n por realimentaci\u00f3n din\u00e1mica son equivalentes en el caso de sistemas de entrada simple. Para la linealizaci\u00f3n de este tipo de sistemas, se desarrolla un nuevo algoritmo.  un procedimiento te\u00f3rico para linealizar sistemas de entrada m\u00faltiple, basado en el cociente de m\u00f3dulos. Tambi\u00e9n se ha hecho un paquete inform\u00e1tico para llevar a cabo los c\u00e1lculos necesarios. Debe mencionarse que este procedimiento es v\u00e1lido para linealizar sistemas mediante realimentaci\u00f3n est\u00e1tica, as\u00ed como para sistemas que s\u00f3lo puedan linealizarse mediante realimentaci\u00f3n din\u00e1mica.  una condici\u00f3n para comprobar si las salidas linealizantes encontradas pueden obtenerse mediante prolongaciones. Como aplicaci\u00f3n, se muestran algunos ejemplos de sistemas linealizables por prolongaciones. Algunos de estos sistemas se cre\u00eda que no eran linealizables mediante esta t\u00e9cnica. Un claro ejemplo<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Flatness, tangent systems and flat outputs.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Flatness, tangent systems and flat outputs. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Jaime Franch Bullich <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de catalunya<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1999<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Enric Fossas I Colet<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Miguel Carlos Mu\u00f1oz lecanda <\/li>\n<li>alan Zinober (vocal)<\/li>\n<li>roberto Gri\u00f1\u00f3 cubero (vocal)<\/li>\n<li>j. Sira-ramirez herbertt (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Jaime Franch Bullich En esta tesis doctoral se presentan diversos m\u00e9todos para la linealizaci\u00f3n de sistemas de [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[2809,8247,583,128,126,15596],"tags":[105655,55831,105656,105654,30560,58060],"class_list":["post-41816","post","type-post","status-publish","format-standard","hentry","category-algebra","category-algebra-diferencial","category-geometria","category-geometria-diferencial","category-matematicas","category-politecnica-de-catalunya","tag-alan-zinober","tag-enric-fossas-i-colet","tag-j-sira-ramirez-herbertt","tag-jaime-franch-bullich","tag-miguel-carlos-munoz-lecanda","tag-roberto-grino-cubero"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/41816","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=41816"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/41816\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=41816"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=41816"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=41816"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}