Active control in flexible plates with piezoelectric actuators using linear matrix inequalities

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dc.contributor.authorBueno, Douglas Domingues [UNESP]
dc.contributor.authorMarqui, Clayton Rodrigo [UNESP]
dc.contributor.authorLopes Jr., Vicente [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-27T11:22:20Z
dc.date.available2014-05-27T11:22:20Z
dc.date.issued2006-12-01
dc.description.abstractThe 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.en
dc.description.affiliationDepartment of Mechanical Engineering Universidade Estadual Paulista, UNESP, Avenida Brasil centra no. 56, Ilha Solteira, SP, 15385-000
dc.description.affiliationUnespDepartment of Mechanical Engineering Universidade Estadual Paulista, UNESP, Avenida Brasil centra no. 56, Ilha Solteira, SP, 15385-000
dc.format.extent3520-3527
dc.identifier.citation13th International Congress on Sound and Vibration 2006, ICSV 2006, v. 5, p. 3520-3527.
dc.identifier.scopus2-s2.0-84883330176
dc.identifier.urihttp://hdl.handle.net/11449/69408
dc.language.isoeng
dc.relation.ispartof13th International Congress on Sound and Vibration 2006, ICSV 2006
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectActuators and sensors
dc.subjectAutomotive structures
dc.subjectConvex optimization algorithms
dc.subjectLead zirconate titanate
dc.subjectLinear quadratic regulator
dc.subjectOptimal placement of sensors
dc.subjectPiezoelectric actuators and sensors
dc.subjectVibration attenuation
dc.subjectAircraft control
dc.subjectAlgorithms
dc.subjectConvex optimization
dc.subjectDecay (organic)
dc.subjectFlexible structures
dc.subjectLinear matrix inequalities
dc.subjectOptimization
dc.subjectPiezoelectric ceramics
dc.subjectPlates (structural components)
dc.subjectSemiconducting lead compounds
dc.subjectSensors
dc.subjectStructural design
dc.subjectVibrations (mechanical)
dc.subjectPiezoelectric actuators
dc.titleActive control in flexible plates with piezoelectric actuators using linear matrix inequalitiesen
dc.typeTrabalho apresentado em evento
unesp.campusUniversidade Estadual Paulista (Unesp), Faculdade de Engenharia, Ilha Solteirapt

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