Active control in flexible plates with piezoelectric actuators using linear matrix inequalities
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://hdl.handle.net/11449/69408 |
Resumo: | The study of algorithms for active vibrations control in flexible structures became an area of enormous interest, mainly due to the countless demands of an optimal performance of mechanical systems as aircraft, aerospace and automotive structures. Smart structures, formed by a structure base, coupled with piezoelectric actuators and sensor are capable to guarantee the conditions demanded through the application of several types of controllers. The actuator/sensor materials are composed by piezoelectric ceramic (PZT - Lead Zirconate Titanate), commonly used as distributed actuators, and piezoelectric plastic films (PVDF-PolyVinyliDeno Floride), highly indicated for distributed sensors. The design process of such system encompasses three main phases: structural design; optimal placement of sensor/actuator (PVDF and PZT); and controller design. Consequently, for optimal design purposes, the structure, the sensor/actuator placement and the controller have to be considered simultaneously. This article addresses the optimal placement of actuators and sensors for design of controller for vibration attenuation in a flexible plate. Techniques involving linear matrix inequalities (LMI) to solve the Riccati's equation are used. The controller's gain is calculated using the linear quadratic regulator (LQR). The major advantage of LMI design is to enable specifications such as stability degree requirements, decay rate, input force limitation in the actuators and output peak bounder. It is also possible to assume that the model parameters involve uncertainties. LMI is a very useful tool for problems with constraints, where the parameters vary in a range of values. Once formulated in terms of LMI a problem can be solved efficiently by convex optimization algorithms. |
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Active control in flexible plates with piezoelectric actuators using linear matrix inequalitiesActuators and sensorsAutomotive structuresConvex optimization algorithmsLead zirconate titanateLinear quadratic regulatorOptimal placement of sensorsPiezoelectric actuators and sensorsVibration attenuationAircraft controlAlgorithmsConvex optimizationDecay (organic)Flexible structuresLinear matrix inequalitiesOptimizationPiezoelectric ceramicsPlates (structural components)Semiconducting lead compoundsSensorsStructural designVibrations (mechanical)Piezoelectric actuatorsThe study of algorithms for active vibrations control in flexible structures became an area of enormous interest, mainly due to the countless demands of an optimal performance of mechanical systems as aircraft, aerospace and automotive structures. Smart structures, formed by a structure base, coupled with piezoelectric actuators and sensor are capable to guarantee the conditions demanded through the application of several types of controllers. The actuator/sensor materials are composed by piezoelectric ceramic (PZT - Lead Zirconate Titanate), commonly used as distributed actuators, and piezoelectric plastic films (PVDF-PolyVinyliDeno Floride), highly indicated for distributed sensors. The design process of such system encompasses three main phases: structural design; optimal placement of sensor/actuator (PVDF and PZT); and controller design. Consequently, for optimal design purposes, the structure, the sensor/actuator placement and the controller have to be considered simultaneously. This article addresses the optimal placement of actuators and sensors for design of controller for vibration attenuation in a flexible plate. Techniques involving linear matrix inequalities (LMI) to solve the Riccati's equation are used. The controller's gain is calculated using the linear quadratic regulator (LQR). The major advantage of LMI design is to enable specifications such as stability degree requirements, decay rate, input force limitation in the actuators and output peak bounder. It is also possible to assume that the model parameters involve uncertainties. LMI is a very useful tool for problems with constraints, where the parameters vary in a range of values. Once formulated in terms of LMI a problem can be solved efficiently by convex optimization algorithms.Department of Mechanical Engineering Universidade Estadual Paulista, UNESP, Avenida Brasil centra no. 56, Ilha Solteira, SP, 15385-000Department of Mechanical Engineering Universidade Estadual Paulista, UNESP, Avenida Brasil centra no. 56, Ilha Solteira, SP, 15385-000Universidade Estadual Paulista (Unesp)Bueno, Douglas Domingues [UNESP]Marqui, Clayton Rodrigo [UNESP]Lopes Jr., Vicente [UNESP]2014-05-27T11:22:20Z2014-05-27T11:22:20Z2006-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject3520-352713th International Congress on Sound and Vibration 2006, ICSV 2006, v. 5, p. 3520-3527.http://hdl.handle.net/11449/694082-s2.0-84883330176Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPeng13th International Congress on Sound and Vibration 2006, ICSV 2006info:eu-repo/semantics/openAccess2021-10-23T21:41:27Zoai:repositorio.unesp.br:11449/69408Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T21:41:27Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Active control in flexible plates with piezoelectric actuators using linear matrix inequalities |
title |
Active control in flexible plates with piezoelectric actuators using linear matrix inequalities |
spellingShingle |
Active control in flexible plates with piezoelectric actuators using linear matrix inequalities Bueno, Douglas Domingues [UNESP] Actuators and sensors Automotive structures Convex optimization algorithms Lead zirconate titanate Linear quadratic regulator Optimal placement of sensors Piezoelectric actuators and sensors Vibration attenuation Aircraft control Algorithms Convex optimization Decay (organic) Flexible structures Linear matrix inequalities Optimization Piezoelectric ceramics Plates (structural components) Semiconducting lead compounds Sensors Structural design Vibrations (mechanical) Piezoelectric actuators |
title_short |
Active control in flexible plates with piezoelectric actuators using linear matrix inequalities |
title_full |
Active control in flexible plates with piezoelectric actuators using linear matrix inequalities |
title_fullStr |
Active control in flexible plates with piezoelectric actuators using linear matrix inequalities |
title_full_unstemmed |
Active control in flexible plates with piezoelectric actuators using linear matrix inequalities |
title_sort |
Active control in flexible plates with piezoelectric actuators using linear matrix inequalities |
author |
Bueno, Douglas Domingues [UNESP] |
author_facet |
Bueno, Douglas Domingues [UNESP] Marqui, Clayton Rodrigo [UNESP] Lopes Jr., Vicente [UNESP] |
author_role |
author |
author2 |
Marqui, Clayton Rodrigo [UNESP] Lopes Jr., Vicente [UNESP] |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Bueno, Douglas Domingues [UNESP] Marqui, Clayton Rodrigo [UNESP] Lopes Jr., Vicente [UNESP] |
dc.subject.por.fl_str_mv |
Actuators and sensors Automotive structures Convex optimization algorithms Lead zirconate titanate Linear quadratic regulator Optimal placement of sensors Piezoelectric actuators and sensors Vibration attenuation Aircraft control Algorithms Convex optimization Decay (organic) Flexible structures Linear matrix inequalities Optimization Piezoelectric ceramics Plates (structural components) Semiconducting lead compounds Sensors Structural design Vibrations (mechanical) Piezoelectric actuators |
topic |
Actuators and sensors Automotive structures Convex optimization algorithms Lead zirconate titanate Linear quadratic regulator Optimal placement of sensors Piezoelectric actuators and sensors Vibration attenuation Aircraft control Algorithms Convex optimization Decay (organic) Flexible structures Linear matrix inequalities Optimization Piezoelectric ceramics Plates (structural components) Semiconducting lead compounds Sensors Structural design Vibrations (mechanical) Piezoelectric actuators |
description |
The study of algorithms for active vibrations control in flexible structures became an area of enormous interest, mainly due to the countless demands of an optimal performance of mechanical systems as aircraft, aerospace and automotive structures. Smart structures, formed by a structure base, coupled with piezoelectric actuators and sensor are capable to guarantee the conditions demanded through the application of several types of controllers. The actuator/sensor materials are composed by piezoelectric ceramic (PZT - Lead Zirconate Titanate), commonly used as distributed actuators, and piezoelectric plastic films (PVDF-PolyVinyliDeno Floride), highly indicated for distributed sensors. The design process of such system encompasses three main phases: structural design; optimal placement of sensor/actuator (PVDF and PZT); and controller design. Consequently, for optimal design purposes, the structure, the sensor/actuator placement and the controller have to be considered simultaneously. This article addresses the optimal placement of actuators and sensors for design of controller for vibration attenuation in a flexible plate. Techniques involving linear matrix inequalities (LMI) to solve the Riccati's equation are used. The controller's gain is calculated using the linear quadratic regulator (LQR). The major advantage of LMI design is to enable specifications such as stability degree requirements, decay rate, input force limitation in the actuators and output peak bounder. It is also possible to assume that the model parameters involve uncertainties. LMI is a very useful tool for problems with constraints, where the parameters vary in a range of values. Once formulated in terms of LMI a problem can be solved efficiently by convex optimization algorithms. |
publishDate |
2006 |
dc.date.none.fl_str_mv |
2006-12-01 2014-05-27T11:22:20Z 2014-05-27T11:22:20Z |
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 |
13th International Congress on Sound and Vibration 2006, ICSV 2006, v. 5, p. 3520-3527. http://hdl.handle.net/11449/69408 2-s2.0-84883330176 |
identifier_str_mv |
13th International Congress on Sound and Vibration 2006, ICSV 2006, v. 5, p. 3520-3527. 2-s2.0-84883330176 |
url |
http://hdl.handle.net/11449/69408 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
13th International Congress on Sound and Vibration 2006, ICSV 2006 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
3520-3527 |
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_ |
1799964748079431680 |