Active flutter suppression in a 2-D airfoil using linear matrix inequalities techniques
Autor(a) principal: | |
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Data de Publicação: | 2006 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1590/S1678-58782006000100009 http://hdl.handle.net/11449/68726 |
Resumo: | Flutter is an in-flight vibration of flexible structures caused by energy in the airstream absorbed by the lifting surface. This aeroelastic phenomenon is a problem of considerable interest in the aeronautic industry, because flutter is a potentially destructive instability resulting from an interaction between aerodynamic, inertial, and elastic forces. To overcome this effect, it is possible to use passive or active methodologies, but passive control adds mass to the structure and it is, therefore, undesirable. Thus, in this paper, the goal is to use linear matrix inequalities (LMIs) techniques to design an active state-feedback control to suppress flutter. Due to unmeasurable aerodynamic-lag states, one needs to use a dynamic observer. So, LMIs also were applied to design a state-estimator. The simulated model, consists of a classical flat plate in a two-dimensional flow. Two regulators were designed, the first one is a non-robust design for parametric variation and the second one is a robust control design, both designed by using LMIs. The parametric uncertainties are modeled through polytopic uncertainties. The paper concludes with numerical simulations for each controller. The open-loop and closed-loop responses are also compared and the results show the flutter suppression. The perfomance for both controllers are compared and discussed. Copyright © 2006 by ABCM. |
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Active flutter suppression in a 2-D airfoil using linear matrix inequalities techniquesActive controlFlutterLMIPolytopic uncertaintiesRobustnessDestructive instabilityElastic forcesLinear matrix inequalities (LMI) techniquesAerodynamicsAerospace industryAirfoilsComputer simulationFlexible structuresMatrix algebraRobustness (control systems)Two dimensionalFlutter (aerodynamics)Flutter is an in-flight vibration of flexible structures caused by energy in the airstream absorbed by the lifting surface. This aeroelastic phenomenon is a problem of considerable interest in the aeronautic industry, because flutter is a potentially destructive instability resulting from an interaction between aerodynamic, inertial, and elastic forces. To overcome this effect, it is possible to use passive or active methodologies, but passive control adds mass to the structure and it is, therefore, undesirable. Thus, in this paper, the goal is to use linear matrix inequalities (LMIs) techniques to design an active state-feedback control to suppress flutter. Due to unmeasurable aerodynamic-lag states, one needs to use a dynamic observer. So, LMIs also were applied to design a state-estimator. The simulated model, consists of a classical flat plate in a two-dimensional flow. Two regulators were designed, the first one is a non-robust design for parametric variation and the second one is a robust control design, both designed by using LMIs. The parametric uncertainties are modeled through polytopic uncertainties. The paper concludes with numerical simulations for each controller. The open-loop and closed-loop responses are also compared and the results show the flutter suppression. The perfomance for both controllers are compared and discussed. Copyright © 2006 by ABCM.Department of Mechanical Design State University of Campinas - UNICAMP Cidade Universitária, Rua Mendeleiev s/n, 13083-970 Campinas, SPABCMDepartment of Mechanical Engineering Universidade Estadual Paulista - UNESP, Av. Brasil, no. 56, Centro, 15385-000 Ilha Solteira, SPDepartment of Mechanical Engineering Universidade Estadual Paulista - UNESP, Av. Brasil, no. 56, Centro, 15385-000 Ilha Solteira, SPUniversidade Estadual de Campinas (UNICAMP)ABCMUniversidade Estadual Paulista (Unesp)Da Silva, SamuelJúnior, Vicente L. [UNESP]2014-05-27T11:21:47Z2014-05-27T11:21:47Z2006-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article84-93application/pdfhttp://dx.doi.org/10.1590/S1678-58782006000100009Journal of the Brazilian Society of Mechanical Sciences and Engineering, v. 28, n. 1, p. 84-93, 2006.1678-58781806-3691http://hdl.handle.net/11449/6872610.1590/S1678-58782006000100009S1678-587820060001000092-s2.0-336453164702-s2.0-33645316470.pdf1457178419328525Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of the Brazilian Society of Mechanical Sciences and Engineering1.6270,362info:eu-repo/semantics/openAccess2023-12-26T06:20:46Zoai:repositorio.unesp.br:11449/68726Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-12-26T06:20:46Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Active flutter suppression in a 2-D airfoil using linear matrix inequalities techniques |
title |
Active flutter suppression in a 2-D airfoil using linear matrix inequalities techniques |
spellingShingle |
Active flutter suppression in a 2-D airfoil using linear matrix inequalities techniques Da Silva, Samuel Active control Flutter LMI Polytopic uncertainties Robustness Destructive instability Elastic forces Linear matrix inequalities (LMI) techniques Aerodynamics Aerospace industry Airfoils Computer simulation Flexible structures Matrix algebra Robustness (control systems) Two dimensional Flutter (aerodynamics) |
title_short |
Active flutter suppression in a 2-D airfoil using linear matrix inequalities techniques |
title_full |
Active flutter suppression in a 2-D airfoil using linear matrix inequalities techniques |
title_fullStr |
Active flutter suppression in a 2-D airfoil using linear matrix inequalities techniques |
title_full_unstemmed |
Active flutter suppression in a 2-D airfoil using linear matrix inequalities techniques |
title_sort |
Active flutter suppression in a 2-D airfoil using linear matrix inequalities techniques |
author |
Da Silva, Samuel |
author_facet |
Da Silva, Samuel Júnior, Vicente L. [UNESP] |
author_role |
author |
author2 |
Júnior, Vicente L. [UNESP] |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual de Campinas (UNICAMP) ABCM Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Da Silva, Samuel Júnior, Vicente L. [UNESP] |
dc.subject.por.fl_str_mv |
Active control Flutter LMI Polytopic uncertainties Robustness Destructive instability Elastic forces Linear matrix inequalities (LMI) techniques Aerodynamics Aerospace industry Airfoils Computer simulation Flexible structures Matrix algebra Robustness (control systems) Two dimensional Flutter (aerodynamics) |
topic |
Active control Flutter LMI Polytopic uncertainties Robustness Destructive instability Elastic forces Linear matrix inequalities (LMI) techniques Aerodynamics Aerospace industry Airfoils Computer simulation Flexible structures Matrix algebra Robustness (control systems) Two dimensional Flutter (aerodynamics) |
description |
Flutter is an in-flight vibration of flexible structures caused by energy in the airstream absorbed by the lifting surface. This aeroelastic phenomenon is a problem of considerable interest in the aeronautic industry, because flutter is a potentially destructive instability resulting from an interaction between aerodynamic, inertial, and elastic forces. To overcome this effect, it is possible to use passive or active methodologies, but passive control adds mass to the structure and it is, therefore, undesirable. Thus, in this paper, the goal is to use linear matrix inequalities (LMIs) techniques to design an active state-feedback control to suppress flutter. Due to unmeasurable aerodynamic-lag states, one needs to use a dynamic observer. So, LMIs also were applied to design a state-estimator. The simulated model, consists of a classical flat plate in a two-dimensional flow. Two regulators were designed, the first one is a non-robust design for parametric variation and the second one is a robust control design, both designed by using LMIs. The parametric uncertainties are modeled through polytopic uncertainties. The paper concludes with numerical simulations for each controller. The open-loop and closed-loop responses are also compared and the results show the flutter suppression. The perfomance for both controllers are compared and discussed. Copyright © 2006 by ABCM. |
publishDate |
2006 |
dc.date.none.fl_str_mv |
2006-01-01 2014-05-27T11:21:47Z 2014-05-27T11:21:47Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1590/S1678-58782006000100009 Journal of the Brazilian Society of Mechanical Sciences and Engineering, v. 28, n. 1, p. 84-93, 2006. 1678-5878 1806-3691 http://hdl.handle.net/11449/68726 10.1590/S1678-58782006000100009 S1678-58782006000100009 2-s2.0-33645316470 2-s2.0-33645316470.pdf 1457178419328525 |
url |
http://dx.doi.org/10.1590/S1678-58782006000100009 http://hdl.handle.net/11449/68726 |
identifier_str_mv |
Journal of the Brazilian Society of Mechanical Sciences and Engineering, v. 28, n. 1, p. 84-93, 2006. 1678-5878 1806-3691 10.1590/S1678-58782006000100009 S1678-58782006000100009 2-s2.0-33645316470 2-s2.0-33645316470.pdf 1457178419328525 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of the Brazilian Society of Mechanical Sciences and Engineering 1.627 0,362 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
84-93 application/pdf |
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_ |
1792962180957601792 |