Linearization by means of Linear Implicit Rectangular Descriptions

This paper discusses a novel implementable approach to an exact linearization procedure based on the implicit systems techniques. The formal procedure we propose includes a specific “splitting” of the nonlinear state representation in two parts that involve a basic rectangular representation and an...

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Tipo de recurso:
Fecha de publicación:
2017
Institución:
Universidad de Medellín
Repositorio:
Repositorio UDEM
Idioma:
eng
OAI Identifier:
oai:repository.udem.edu.co:11407/4262
Acceso en línea:
http://hdl.handle.net/11407/4262
Palabra clave:
feedback linearization
implicit rectangular description
implicit systems
nonlinear systems
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http://purl.org/coar/access_right/c_16ec
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oai_identifier_str oai:repository.udem.edu.co:11407/4262
network_acronym_str REPOUDEM2
network_name_str Repositorio UDEM
repository_id_str
dc.title.spa.fl_str_mv Linearization by means of Linear Implicit Rectangular Descriptions
title Linearization by means of Linear Implicit Rectangular Descriptions
spellingShingle Linearization by means of Linear Implicit Rectangular Descriptions
feedback linearization
implicit rectangular description
implicit systems
nonlinear systems
title_short Linearization by means of Linear Implicit Rectangular Descriptions
title_full Linearization by means of Linear Implicit Rectangular Descriptions
title_fullStr Linearization by means of Linear Implicit Rectangular Descriptions
title_full_unstemmed Linearization by means of Linear Implicit Rectangular Descriptions
title_sort Linearization by means of Linear Implicit Rectangular Descriptions
dc.contributor.affiliation.spa.fl_str_mv Bonilla, M., CINVESTAV-IPN, Control Automático, UMI 3175, CINVESTAV-CNRS.A.P. 14-740, Mexico
Azhmyakov, V., Universidad de Medellin, Department of Basic Sciences, Medellin, Colombia
Malabre, M., CNRS, LS2N (Laboratoire des Sciences du Numérique de Nantes), UMR 6004, B.P. 92101, Cedex 03, Nantes, France
dc.subject.keyword.eng.fl_str_mv feedback linearization
implicit rectangular description
implicit systems
nonlinear systems
topic feedback linearization
implicit rectangular description
implicit systems
nonlinear systems
description This paper discusses a novel implementable approach to an exact linearization procedure based on the implicit systems techniques. The formal procedure we propose includes a specific “splitting” of the nonlinear state representation in two parts that involve a basic rectangular representation and an auxiliary nonlinear algebraic equation. The proposed linear implicit systems description makes it possible to apply the conventional linear control techniques to an initially given sophisticated nonlinear dynamic model. © 2017
publishDate 2017
dc.date.accessioned.none.fl_str_mv 2017-12-19T19:36:42Z
dc.date.available.none.fl_str_mv 2017-12-19T19:36:42Z
dc.date.created.none.fl_str_mv 2017
dc.type.eng.fl_str_mv Article
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http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.driver.none.fl_str_mv info:eu-repo/semantics/article
dc.identifier.issn.none.fl_str_mv 24058963
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/11407/4262
dc.identifier.doi.none.fl_str_mv 10.1016/j.ifacol.2017.08.2361
dc.identifier.reponame.spa.fl_str_mv reponame:Repositorio Institucional Universidad de Medellín
dc.identifier.instname.spa.fl_str_mv instname:Universidad de Medellín
identifier_str_mv 24058963
10.1016/j.ifacol.2017.08.2361
reponame:Repositorio Institucional Universidad de Medellín
instname:Universidad de Medellín
url http://hdl.handle.net/11407/4262
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.isversionof.spa.fl_str_mv https://www.scopus.com/inward/record.uri?eid=2-s2.0-85031782801&doi=10.1016%2fj.ifacol.2017.08.2361&partnerID=40&md5=de1977aeb5c50b70b3678de838e68728
dc.relation.ispartofes.spa.fl_str_mv IFAC-PapersOnLine
IFAC-PapersOnLine Volume 50, Issue 1, July 2017, Pages 10822-10827
dc.relation.references.spa.fl_str_mv Bonilla, M., Malabre, M., & Azhmyakov, V. (2015). An implicit systems characterization of a class of impulsive linear switched control processes. part 1: Modeling. Nonlinear Analysis: Hybrid Systems, 15, 157-170. doi:10.1016/j.nahs.2014.04.002
Bonilla, M., Malabre, M., & Azhmyakov, V. (2015). An implicit systems characterization of a class of impulsive linear switched control processes. part 2: Control. Nonlinear Analysis: Hybrid Systems, 18, 15-32. doi:10.1016/j.nahs.2015.03.005
Bonilla, M., Malabre, M., & Fonseca, M. (1997). On the approximation of non-proper control laws. International Journal of Control, 68(4), 775-796. doi:10.1080/002071797223334
Daniels, R. W. (1974). Approximation Methods for Electronic Filter Design.
Estrada, M. B., & Malabre, M. (2003). On the control of linear systems having internal variations. Automatica, 39(11), 1989-1996. doi:10.1016/S0005-1098(03)00222-X
Gantmacher, F. R. (1959). The Theory of Matrices.
Lebret, G., & Loiseau, J. J. (1994). Proportional and proportional-derivative canonical forms for descriptor systems with outputs. Automatica, 30(5), 847-864. doi:10.1016/0005-1098(94)90173-2
Morse, A. S. (1996). Supervisory control of families of linear set-point controllers - part 1: Exact matching. IEEE Transactions on Automatic Control, 41(10), 1413-1431. doi:10.1109/9.539424
Nazrulla, S., & Khalil, H. K. (2011). Robust stabilization of non-minimum phase nonlinear systems using extended high-gain observers. IEEE Transactions on Automatic Control, 56(4), 802-813. doi:10.1109/TAC.2010.2069612
Vidyasagar, M. (1993). Nonlinear Systems Analysis.
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_16ec
rights_invalid_str_mv http://purl.org/coar/access_right/c_16ec
dc.publisher.spa.fl_str_mv Elsevier B.V.
dc.publisher.faculty.spa.fl_str_mv Facultad de Ciencias Básicas
dc.source.spa.fl_str_mv Scopus
institution Universidad de Medellín
repository.name.fl_str_mv Repositorio Institucional Universidad de Medellin
repository.mail.fl_str_mv repositorio@udem.edu.co
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spelling 2017-12-19T19:36:42Z2017-12-19T19:36:42Z201724058963http://hdl.handle.net/11407/426210.1016/j.ifacol.2017.08.2361reponame:Repositorio Institucional Universidad de Medellíninstname:Universidad de MedellínThis paper discusses a novel implementable approach to an exact linearization procedure based on the implicit systems techniques. The formal procedure we propose includes a specific “splitting” of the nonlinear state representation in two parts that involve a basic rectangular representation and an auxiliary nonlinear algebraic equation. The proposed linear implicit systems description makes it possible to apply the conventional linear control techniques to an initially given sophisticated nonlinear dynamic model. © 2017engElsevier B.V.Facultad de Ciencias Básicashttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85031782801&doi=10.1016%2fj.ifacol.2017.08.2361&partnerID=40&md5=de1977aeb5c50b70b3678de838e68728IFAC-PapersOnLineIFAC-PapersOnLine Volume 50, Issue 1, July 2017, Pages 10822-10827Bonilla, M., Malabre, M., & Azhmyakov, V. (2015). An implicit systems characterization of a class of impulsive linear switched control processes. part 1: Modeling. Nonlinear Analysis: Hybrid Systems, 15, 157-170. doi:10.1016/j.nahs.2014.04.002Bonilla, M., Malabre, M., & Azhmyakov, V. (2015). An implicit systems characterization of a class of impulsive linear switched control processes. part 2: Control. Nonlinear Analysis: Hybrid Systems, 18, 15-32. doi:10.1016/j.nahs.2015.03.005Bonilla, M., Malabre, M., & Fonseca, M. (1997). On the approximation of non-proper control laws. International Journal of Control, 68(4), 775-796. doi:10.1080/002071797223334Daniels, R. W. (1974). Approximation Methods for Electronic Filter Design.Estrada, M. B., & Malabre, M. (2003). On the control of linear systems having internal variations. Automatica, 39(11), 1989-1996. doi:10.1016/S0005-1098(03)00222-XGantmacher, F. R. (1959). The Theory of Matrices.Lebret, G., & Loiseau, J. J. (1994). Proportional and proportional-derivative canonical forms for descriptor systems with outputs. Automatica, 30(5), 847-864. doi:10.1016/0005-1098(94)90173-2Morse, A. S. (1996). Supervisory control of families of linear set-point controllers - part 1: Exact matching. IEEE Transactions on Automatic Control, 41(10), 1413-1431. doi:10.1109/9.539424Nazrulla, S., & Khalil, H. K. (2011). Robust stabilization of non-minimum phase nonlinear systems using extended high-gain observers. IEEE Transactions on Automatic Control, 56(4), 802-813. doi:10.1109/TAC.2010.2069612Vidyasagar, M. (1993). Nonlinear Systems Analysis.ScopusLinearization by means of Linear Implicit Rectangular DescriptionsArticleinfo:eu-repo/semantics/articlehttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Bonilla, M., CINVESTAV-IPN, Control Automático, UMI 3175, CINVESTAV-CNRS.A.P. 14-740, MexicoAzhmyakov, V., Universidad de Medellin, Department of Basic Sciences, Medellin, ColombiaMalabre, M., CNRS, LS2N (Laboratoire des Sciences du Numérique de Nantes), UMR 6004, B.P. 92101, Cedex 03, Nantes, FranceBonilla M.Azhmyakov V.Malabre M.CINVESTAV-IPN, Control Automático, UMI 3175, CINVESTAV-CNRS.A.P. 14-740, MexicoUniversidad de Medellin, Department of Basic Sciences, Medellin, ColombiaCNRS, LS2N (Laboratoire des Sciences du Numérique de Nantes), UMR 6004, B.P. 92101, Cedex 03, Nantes, Francefeedback linearizationimplicit rectangular descriptionimplicit systemsnonlinear systemsThis paper discusses a novel implementable approach to an exact linearization procedure based on the implicit systems techniques. The formal procedure we propose includes a specific “splitting” of the nonlinear state representation in two parts that involve a basic rectangular representation and an auxiliary nonlinear algebraic equation. The proposed linear implicit systems description makes it possible to apply the conventional linear control techniques to an initially given sophisticated nonlinear dynamic model. © 2017http://purl.org/coar/access_right/c_16ec11407/4262oai:repository.udem.edu.co:11407/42622020-05-27 19:15:54.997Repositorio Institucional Universidad de Medellinrepositorio@udem.edu.co

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