On the controllers' design to stabilize ground resonance helicopter
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1177/1077546319873797 http://hdl.handle.net/11449/199585 |
Resumo: | Ground resonance (GR) in helicopters is a potentially catastrophic instability commonly caused by coalescence of the regressive cyclic blade lag mode with the fuselage motion in certain rotor speed ranges. It can limit the helicopter operational envelope and the design of this type of vehicle can become a difficult task. Although a broad class of actuators allows the use of active and semi-active techniques to design feedback-based control systems, a limited number of works in the literature introduce formulations to compute the controller gain to suppress this phenomenon. Also, commonly, a control approach defines a feedback, particularly to a specific rotor speed. In this context, this work introduces an alternative methodology to design an active control system to stabilize GR of a helicopter. The proposed approach can suppress this instability in all rotor speed ranges by using only one control gain. Two strategies are proposed based on linear matrix inequalities (LMIs). The Lyapunov stability criteria are used and the unstable rotor speed is considered as an uncertain parameter to define an associated convex space. Using convex optimization, a robust control gain is computed until all the unstable rotor speed range is stabilized. Numerical simulations are carried out to demonstrate the effectiveness of this methodology. The results confirm the viability of the proposed approach to design active and semi-active controllers. |
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Repositório Institucional da UNESP |
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On the controllers' design to stabilize ground resonance helicoptercontroller designGround resonance helicopterlinear matrix inequalitiesrobust control gainrotor speed range stabilizationGround resonance (GR) in helicopters is a potentially catastrophic instability commonly caused by coalescence of the regressive cyclic blade lag mode with the fuselage motion in certain rotor speed ranges. It can limit the helicopter operational envelope and the design of this type of vehicle can become a difficult task. Although a broad class of actuators allows the use of active and semi-active techniques to design feedback-based control systems, a limited number of works in the literature introduce formulations to compute the controller gain to suppress this phenomenon. Also, commonly, a control approach defines a feedback, particularly to a specific rotor speed. In this context, this work introduces an alternative methodology to design an active control system to stabilize GR of a helicopter. The proposed approach can suppress this instability in all rotor speed ranges by using only one control gain. Two strategies are proposed based on linear matrix inequalities (LMIs). The Lyapunov stability criteria are used and the unstable rotor speed is considered as an uncertain parameter to define an associated convex space. Using convex optimization, a robust control gain is computed until all the unstable rotor speed range is stabilized. Numerical simulations are carried out to demonstrate the effectiveness of this methodology. The results confirm the viability of the proposed approach to design active and semi-active controllers.Department of Mechanical Engineering São Paulo State University (UNESP) Faculty of Engineering of Ilha SolteiraDepartment of Mathematics São Paulo State University (UNESP) Faculty of Engineering of Ilha SolteiraDepartment of Mechanical Engineering São Paulo State University (UNESP) Faculty of Engineering of Ilha SolteiraDepartment of Mathematics São Paulo State University (UNESP) Faculty of Engineering of Ilha SolteiraUniversidade Estadual Paulista (Unesp)Ignácio da Silva, José A. [UNESP]Bueno, Douglas D. [UNESP]de Abreu, Gustavo L. C. M. [UNESP]2020-12-12T01:43:55Z2020-12-12T01:43:55Z2019-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article2894-2909http://dx.doi.org/10.1177/1077546319873797JVC/Journal of Vibration and Control, v. 25, n. 23-24, p. 2894-2909, 2019.1741-29861077-5463http://hdl.handle.net/11449/19958510.1177/10775463198737972-s2.0-85074300692Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJVC/Journal of Vibration and Controlinfo:eu-repo/semantics/openAccess2021-10-23T08:24:52Zoai:repositorio.unesp.br:11449/199585Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T08:24:52Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
On the controllers' design to stabilize ground resonance helicopter |
title |
On the controllers' design to stabilize ground resonance helicopter |
spellingShingle |
On the controllers' design to stabilize ground resonance helicopter Ignácio da Silva, José A. [UNESP] controller design Ground resonance helicopter linear matrix inequalities robust control gain rotor speed range stabilization |
title_short |
On the controllers' design to stabilize ground resonance helicopter |
title_full |
On the controllers' design to stabilize ground resonance helicopter |
title_fullStr |
On the controllers' design to stabilize ground resonance helicopter |
title_full_unstemmed |
On the controllers' design to stabilize ground resonance helicopter |
title_sort |
On the controllers' design to stabilize ground resonance helicopter |
author |
Ignácio da Silva, José A. [UNESP] |
author_facet |
Ignácio da Silva, José A. [UNESP] Bueno, Douglas D. [UNESP] de Abreu, Gustavo L. C. M. [UNESP] |
author_role |
author |
author2 |
Bueno, Douglas D. [UNESP] de Abreu, Gustavo L. C. M. [UNESP] |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Ignácio da Silva, José A. [UNESP] Bueno, Douglas D. [UNESP] de Abreu, Gustavo L. C. M. [UNESP] |
dc.subject.por.fl_str_mv |
controller design Ground resonance helicopter linear matrix inequalities robust control gain rotor speed range stabilization |
topic |
controller design Ground resonance helicopter linear matrix inequalities robust control gain rotor speed range stabilization |
description |
Ground resonance (GR) in helicopters is a potentially catastrophic instability commonly caused by coalescence of the regressive cyclic blade lag mode with the fuselage motion in certain rotor speed ranges. It can limit the helicopter operational envelope and the design of this type of vehicle can become a difficult task. Although a broad class of actuators allows the use of active and semi-active techniques to design feedback-based control systems, a limited number of works in the literature introduce formulations to compute the controller gain to suppress this phenomenon. Also, commonly, a control approach defines a feedback, particularly to a specific rotor speed. In this context, this work introduces an alternative methodology to design an active control system to stabilize GR of a helicopter. The proposed approach can suppress this instability in all rotor speed ranges by using only one control gain. Two strategies are proposed based on linear matrix inequalities (LMIs). The Lyapunov stability criteria are used and the unstable rotor speed is considered as an uncertain parameter to define an associated convex space. Using convex optimization, a robust control gain is computed until all the unstable rotor speed range is stabilized. Numerical simulations are carried out to demonstrate the effectiveness of this methodology. The results confirm the viability of the proposed approach to design active and semi-active controllers. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-12-01 2020-12-12T01:43:55Z 2020-12-12T01:43:55Z |
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/10.1177/1077546319873797 JVC/Journal of Vibration and Control, v. 25, n. 23-24, p. 2894-2909, 2019. 1741-2986 1077-5463 http://hdl.handle.net/11449/199585 10.1177/1077546319873797 2-s2.0-85074300692 |
url |
http://dx.doi.org/10.1177/1077546319873797 http://hdl.handle.net/11449/199585 |
identifier_str_mv |
JVC/Journal of Vibration and Control, v. 25, n. 23-24, p. 2894-2909, 2019. 1741-2986 1077-5463 10.1177/1077546319873797 2-s2.0-85074300692 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
JVC/Journal of Vibration and Control |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
2894-2909 |
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_ |
1792961802002235392 |