A polynomial approach for analysis and optimal control of switched nonlinear systems

"In this dissertation, we investigate how convex semialgebraic geometry and global polynomial optimization can be used to analyze and to design switched nonlinear systems. To deal with stability analysis of switched nonlinear systems it is shown that the representation of the original switched...

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Autores:
Mojica Nava, Eduardo Alirio
Tipo de recurso:
Doctoral thesis
Fecha de publicación:
2009
Institución:
Universidad de los Andes
Repositorio:
Séneca: repositorio Uniandes
Idioma:
spa
OAI Identifier:
oai:repositorio.uniandes.edu.co:1992/7760
Acceso en línea:
http://hdl.handle.net/1992/7760
Palabra clave:
Control automático - Investigaciones
Teoría del control no lineal - Investigaciones
Telecomunicaciones - Sistemas de conmutación - Investigaciones
Optimización matemática - Investigaciones
Ingeniería
Rights
openAccess
License
https://repositorio.uniandes.edu.co/static/pdf/aceptacion_uso_es.pdf
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spelling Al consultar y hacer uso de este recurso, está aceptando las condiciones de uso establecidas por los autores.https://repositorio.uniandes.edu.co/static/pdf/aceptacion_uso_es.pdfinfo:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Gauthier Sellier, Alaine79faeae-effd-457b-b5af-32b459fdd808400Mojica Nava, Eduardo Alirio0b31321e-6dbf-4652-a5fb-46abcd4b7c4e5002018-09-27T16:37:55Z2018-09-27T16:37:55Z2009http://hdl.handle.net/1992/776010.57784/1992/7760u402223.pdfinstname:Universidad de los Andesreponame:Repositorio Institucional Sénecarepourl:https://repositorio.uniandes.edu.co/"In this dissertation, we investigate how convex semialgebraic geometry and global polynomial optimization can be used to analyze and to design switched nonlinear systems. To deal with stability analysis of switched nonlinear systems it is shown that the representation of the original switched problem into a continous polynomial system allows us to use the dissipation inequality for polynomial systems. With this method and from a theoretical point of view, we provide an alternative way to search for a common Lyapunov function for switched nonlinear systems. The main idea behind the proposed approach is to include in the system analysis the hidden constraints... "Doctor en IngenieríaDoctorado141 hojasapplication/pdfspaUniandesDoctorado en IngenieríaFacultad de Ingenieríainstname:Universidad de los Andesreponame:Repositorio Institucional SénecaA polynomial approach for analysis and optimal control of switched nonlinear systemsTrabajo de grado - Doctoradoinfo:eu-repo/semantics/doctoralThesishttp://purl.org/coar/resource_type/c_db06http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/TDControl automático - InvestigacionesTeoría del control no lineal - InvestigacionesTelecomunicaciones - Sistemas de conmutación - InvestigacionesOptimización matemática - InvestigacionesIngenieríaPublicationTEXTu402223.pdf.txtu402223.pdf.txtExtracted texttext/plain211223https://repositorio.uniandes.edu.co/bitstreams/558b050a-d49f-4eb2-9226-c23f2d68df86/download8d9b517752b5070ab42332d539e13efdMD54ORIGINALu402223.pdfapplication/pdf1048741https://repositorio.uniandes.edu.co/bitstreams/69cd0ecf-99c7-443a-a806-ab83b707fccd/download97c46046b1de821d68e63a70daf9ddb2MD51THUMBNAILu402223.pdf.jpgu402223.pdf.jpgIM Thumbnailimage/jpeg13499https://repositorio.uniandes.edu.co/bitstreams/17f7b147-18bc-4ce3-bb42-65da1b2479ab/downloadce483ce16444f72b7104bf561499ab3dMD551992/7760oai:repositorio.uniandes.edu.co:1992/77602024-08-26 15:25:19.639https://repositorio.uniandes.edu.co/static/pdf/aceptacion_uso_es.pdfopen.accesshttps://repositorio.uniandes.edu.coRepositorio institucional Sénecaadminrepositorio@uniandes.edu.co
dc.title.es_CO.fl_str_mv A polynomial approach for analysis and optimal control of switched nonlinear systems
title A polynomial approach for analysis and optimal control of switched nonlinear systems
spellingShingle A polynomial approach for analysis and optimal control of switched nonlinear systems
Control automático - Investigaciones
Teoría del control no lineal - Investigaciones
Telecomunicaciones - Sistemas de conmutación - Investigaciones
Optimización matemática - Investigaciones
Ingeniería
title_short A polynomial approach for analysis and optimal control of switched nonlinear systems
title_full A polynomial approach for analysis and optimal control of switched nonlinear systems
title_fullStr A polynomial approach for analysis and optimal control of switched nonlinear systems
title_full_unstemmed A polynomial approach for analysis and optimal control of switched nonlinear systems
title_sort A polynomial approach for analysis and optimal control of switched nonlinear systems
dc.creator.fl_str_mv Mojica Nava, Eduardo Alirio
dc.contributor.advisor.none.fl_str_mv Gauthier Sellier, Alain
dc.contributor.author.none.fl_str_mv Mojica Nava, Eduardo Alirio
dc.subject.keyword.es_CO.fl_str_mv Control automático - Investigaciones
Teoría del control no lineal - Investigaciones
Telecomunicaciones - Sistemas de conmutación - Investigaciones
Optimización matemática - Investigaciones
topic Control automático - Investigaciones
Teoría del control no lineal - Investigaciones
Telecomunicaciones - Sistemas de conmutación - Investigaciones
Optimización matemática - Investigaciones
Ingeniería
dc.subject.themes.none.fl_str_mv Ingeniería
description "In this dissertation, we investigate how convex semialgebraic geometry and global polynomial optimization can be used to analyze and to design switched nonlinear systems. To deal with stability analysis of switched nonlinear systems it is shown that the representation of the original switched problem into a continous polynomial system allows us to use the dissipation inequality for polynomial systems. With this method and from a theoretical point of view, we provide an alternative way to search for a common Lyapunov function for switched nonlinear systems. The main idea behind the proposed approach is to include in the system analysis the hidden constraints... "
publishDate 2009
dc.date.issued.none.fl_str_mv 2009
dc.date.accessioned.none.fl_str_mv 2018-09-27T16:37:55Z
dc.date.available.none.fl_str_mv 2018-09-27T16:37:55Z
dc.type.spa.fl_str_mv Trabajo de grado - Doctorado
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dc.identifier.pdf.none.fl_str_mv u402223.pdf
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dc.format.extent.es_CO.fl_str_mv 141 hojas
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dc.publisher.es_CO.fl_str_mv Uniandes
dc.publisher.program.es_CO.fl_str_mv Doctorado en Ingeniería
dc.publisher.faculty.es_CO.fl_str_mv Facultad de Ingeniería
dc.source.es_CO.fl_str_mv instname:Universidad de los Andes
reponame:Repositorio Institucional Séneca
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