Design of SPR systems with dynamic compensators and output variable structure control
Autor(a) principal: | |
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Data de Publicação: | 2006 |
Outros Autores: | , |
Tipo de documento: | Artigo de conferência |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1109/VSS.2006.1644539 http://hdl.handle.net/11449/69429 |
Resumo: | This paper presents necessary and sufficient conditions for the following problem: given a linear time invariant plant G(s) = N(s)D(s)-1 = C(sI - A]-1B, with m inputs, p outputs, p > m, rank(C) = p, rank(B) = rank(CB) = m, £nd a tandem dynamic controller Gc(s) = D c(s)-1Nc(s) = Cc(sI - A c)-1Bc + Dc, with p inputs and m outputs and a constant output feedback matrix Ko ε ℝm×p such that the feedback system is Strictly Positive Real (SPR). It is shown that this problem has solution if and only if all transmission zeros of the plant have negative real parts. When there exists solution, the proposed method firstly obtains Gc(s) in order to all transmission zeros of Gc(s)G(s) present negative real parts and then Ko is found as the solution of some Linear Matrix Inequalities (LMIs). Then, taking into account this result, a new LMI based design for output Variable Structure Control (VSC) of uncertain dynamic plants is presented. The method can consider the following design specifications: matched disturbances or nonlinearities of the plant, output constraints, decay rate and matched and nonmatched plant uncertainties. © 2006 IEEE. |
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Design of SPR systems with dynamic compensators and output variable structure controlDynamic programmingFeedback controlMatrix algebraProblem solvingSpecificationsLinear Matrix Inequalities (LMI)Strictly Positive Real (SPR)Variable Structure Control (VSC)Linear systemsThis paper presents necessary and sufficient conditions for the following problem: given a linear time invariant plant G(s) = N(s)D(s)-1 = C(sI - A]-1B, with m inputs, p outputs, p > m, rank(C) = p, rank(B) = rank(CB) = m, £nd a tandem dynamic controller Gc(s) = D c(s)-1Nc(s) = Cc(sI - A c)-1Bc + Dc, with p inputs and m outputs and a constant output feedback matrix Ko ε ℝm×p such that the feedback system is Strictly Positive Real (SPR). It is shown that this problem has solution if and only if all transmission zeros of the plant have negative real parts. When there exists solution, the proposed method firstly obtains Gc(s) in order to all transmission zeros of Gc(s)G(s) present negative real parts and then Ko is found as the solution of some Linear Matrix Inequalities (LMIs). Then, taking into account this result, a new LMI based design for output Variable Structure Control (VSC) of uncertain dynamic plants is presented. The method can consider the following design specifications: matched disturbances or nonlinearities of the plant, output constraints, decay rate and matched and nonmatched plant uncertainties. © 2006 IEEE.UNESP-São Paulo State University Department of Electrical Engineering Faculdade de Engenharia de Ilha Solteira, Av. Brasil Centro, 56, 15385-000 Ilha Solteira-SPUNESP-São Paulo State University Department of Electrical Engineering Faculdade de Engenharia de Ilha Solteira, Av. Brasil Centro, 56, 15385-000 Ilha Solteira-SPUniversidade Estadual Paulista (Unesp)Teixeira, Marcelo C.M. [UNESP]Covacic, Márcio R. [UNESP]Assunção, Edvaldo [UNESP]2014-05-27T11:22:21Z2014-05-27T11:22:21Z2006-12-22info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject328-333http://dx.doi.org/10.1109/VSS.2006.1644539Proceedings of the 2006 International Workshop on Variable Structure Systems, VSS'06, v. 2006, p. 328-333.http://hdl.handle.net/11449/6942910.1109/VSS.2006.1644539WOS:0002425741000572-s2.0-338455638368755160580142626Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengProceedings of the 2006 International Workshop on Variable Structure Systems, VSS'06info:eu-repo/semantics/openAccess2021-10-23T21:41:30Zoai:repositorio.unesp.br:11449/69429Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T21:41:30Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Design of SPR systems with dynamic compensators and output variable structure control |
title |
Design of SPR systems with dynamic compensators and output variable structure control |
spellingShingle |
Design of SPR systems with dynamic compensators and output variable structure control Teixeira, Marcelo C.M. [UNESP] Dynamic programming Feedback control Matrix algebra Problem solving Specifications Linear Matrix Inequalities (LMI) Strictly Positive Real (SPR) Variable Structure Control (VSC) Linear systems |
title_short |
Design of SPR systems with dynamic compensators and output variable structure control |
title_full |
Design of SPR systems with dynamic compensators and output variable structure control |
title_fullStr |
Design of SPR systems with dynamic compensators and output variable structure control |
title_full_unstemmed |
Design of SPR systems with dynamic compensators and output variable structure control |
title_sort |
Design of SPR systems with dynamic compensators and output variable structure control |
author |
Teixeira, Marcelo C.M. [UNESP] |
author_facet |
Teixeira, Marcelo C.M. [UNESP] Covacic, Márcio R. [UNESP] Assunção, Edvaldo [UNESP] |
author_role |
author |
author2 |
Covacic, Márcio R. [UNESP] Assunção, Edvaldo [UNESP] |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Teixeira, Marcelo C.M. [UNESP] Covacic, Márcio R. [UNESP] Assunção, Edvaldo [UNESP] |
dc.subject.por.fl_str_mv |
Dynamic programming Feedback control Matrix algebra Problem solving Specifications Linear Matrix Inequalities (LMI) Strictly Positive Real (SPR) Variable Structure Control (VSC) Linear systems |
topic |
Dynamic programming Feedback control Matrix algebra Problem solving Specifications Linear Matrix Inequalities (LMI) Strictly Positive Real (SPR) Variable Structure Control (VSC) Linear systems |
description |
This paper presents necessary and sufficient conditions for the following problem: given a linear time invariant plant G(s) = N(s)D(s)-1 = C(sI - A]-1B, with m inputs, p outputs, p > m, rank(C) = p, rank(B) = rank(CB) = m, £nd a tandem dynamic controller Gc(s) = D c(s)-1Nc(s) = Cc(sI - A c)-1Bc + Dc, with p inputs and m outputs and a constant output feedback matrix Ko ε ℝm×p such that the feedback system is Strictly Positive Real (SPR). It is shown that this problem has solution if and only if all transmission zeros of the plant have negative real parts. When there exists solution, the proposed method firstly obtains Gc(s) in order to all transmission zeros of Gc(s)G(s) present negative real parts and then Ko is found as the solution of some Linear Matrix Inequalities (LMIs). Then, taking into account this result, a new LMI based design for output Variable Structure Control (VSC) of uncertain dynamic plants is presented. The method can consider the following design specifications: matched disturbances or nonlinearities of the plant, output constraints, decay rate and matched and nonmatched plant uncertainties. © 2006 IEEE. |
publishDate |
2006 |
dc.date.none.fl_str_mv |
2006-12-22 2014-05-27T11:22:21Z 2014-05-27T11:22:21Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/conferenceObject |
format |
conferenceObject |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1109/VSS.2006.1644539 Proceedings of the 2006 International Workshop on Variable Structure Systems, VSS'06, v. 2006, p. 328-333. http://hdl.handle.net/11449/69429 10.1109/VSS.2006.1644539 WOS:000242574100057 2-s2.0-33845563836 8755160580142626 |
url |
http://dx.doi.org/10.1109/VSS.2006.1644539 http://hdl.handle.net/11449/69429 |
identifier_str_mv |
Proceedings of the 2006 International Workshop on Variable Structure Systems, VSS'06, v. 2006, p. 328-333. 10.1109/VSS.2006.1644539 WOS:000242574100057 2-s2.0-33845563836 8755160580142626 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Proceedings of the 2006 International Workshop on Variable Structure Systems, VSS'06 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
328-333 |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1792961910739566592 |