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

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Titel: Active control in flexible plates with piezoelectric actuators using linear matrix inequalities
Autoren: Bueno, Douglas Domingues, Marqui, Clayton Rodrigo, Lopes Jr., Vicente
Weitere Verfasser: Universidade Estadual Paulista (UNESP)
Publikationsjahr: 2014
Bestand: Universidade Estadual Paulista São Paulo: Acervo Digital da UNESP / São Paulo State University
Schlagwörter: 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
Beschreibung: 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.
Publikationsart: other/unknown material
Sprache: English
Relation: 13th International Congress on Sound and Vibration 2006, ICSV 2006; http://hdl.handle.net/11449/69408; http://acervodigital.unesp.br/handle/11449/69408
Verfügbarkeit: http://acervodigital.unesp.br/handle/11449/69408
http://hdl.handle.net/11449/69408
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  Data: Active control in flexible plates with piezoelectric actuators using linear matrix inequalities
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  Data: <searchLink fieldCode="AR" term="%22Bueno%2C+Douglas+Domingues%22">Bueno, Douglas Domingues</searchLink><br /><searchLink fieldCode="AR" term="%22Marqui%2C+Clayton+Rodrigo%22">Marqui, Clayton Rodrigo</searchLink><br /><searchLink fieldCode="AR" term="%22Lopes+Jr%2E%2C+Vicente%22">Lopes Jr., Vicente</searchLink>
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  Data: Universidade Estadual Paulista (UNESP)
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  Data: 2014
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  Data: Universidade Estadual Paulista São Paulo: Acervo Digital da UNESP / São Paulo State University
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  Data: <searchLink fieldCode="DE" term="%22Actuators+and+sensors%22">Actuators and sensors</searchLink><br /><searchLink fieldCode="DE" term="%22Automotive+structures%22">Automotive structures</searchLink><br /><searchLink fieldCode="DE" term="%22Convex+optimization+algorithms%22">Convex optimization algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Lead+zirconate+titanate%22">Lead zirconate titanate</searchLink><br /><searchLink fieldCode="DE" term="%22Linear+quadratic+regulator%22">Linear quadratic regulator</searchLink><br /><searchLink fieldCode="DE" term="%22Optimal+placement+of+sensors%22">Optimal placement of sensors</searchLink><br /><searchLink fieldCode="DE" term="%22Piezoelectric+actuators+and+sensors%22">Piezoelectric actuators and sensors</searchLink><br /><searchLink fieldCode="DE" term="%22Vibration+attenuation%22">Vibration attenuation</searchLink><br /><searchLink fieldCode="DE" term="%22Aircraft+control%22">Aircraft control</searchLink><br /><searchLink fieldCode="DE" term="%22Algorithms%22">Algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Convex+optimization%22">Convex optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Decay+%28organic%29%22">Decay (organic)</searchLink><br /><searchLink fieldCode="DE" term="%22Flexible+structures%22">Flexible structures</searchLink><br /><searchLink fieldCode="DE" term="%22Linear+matrix+inequalities%22">Linear matrix inequalities</searchLink><br /><searchLink fieldCode="DE" term="%22Optimization%22">Optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Piezoelectric+ceramics%22">Piezoelectric ceramics</searchLink><br /><searchLink fieldCode="DE" term="%22Plates+%28structural+components%29%22">Plates (structural components)</searchLink><br /><searchLink fieldCode="DE" term="%22Semiconducting+lead+compounds%22">Semiconducting lead compounds</searchLink><br /><searchLink fieldCode="DE" term="%22Sensors%22">Sensors</searchLink><br /><searchLink fieldCode="DE" term="%22Structural+design%22">Structural design</searchLink><br /><searchLink fieldCode="DE" term="%22Vibrations+%28mechanical%29%22">Vibrations (mechanical)</searchLink><br /><searchLink fieldCode="DE" term="%22Piezoelectric+actuators%22">Piezoelectric actuators</searchLink>
– Name: Abstract
  Label: Description
  Group: Ab
  Data: 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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  Data: 13th International Congress on Sound and Vibration 2006, ICSV 2006; http://hdl.handle.net/11449/69408; http://acervodigital.unesp.br/handle/11449/69408
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  Data: edsbas.5AB16DFD
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RecordInfo BibRecord:
  BibEntity:
    Languages:
      – Text: English
    Subjects:
      – SubjectFull: Actuators and sensors
        Type: general
      – SubjectFull: Automotive structures
        Type: general
      – SubjectFull: Convex optimization algorithms
        Type: general
      – SubjectFull: Lead zirconate titanate
        Type: general
      – SubjectFull: Linear quadratic regulator
        Type: general
      – SubjectFull: Optimal placement of sensors
        Type: general
      – SubjectFull: Piezoelectric actuators and sensors
        Type: general
      – SubjectFull: Vibration attenuation
        Type: general
      – SubjectFull: Aircraft control
        Type: general
      – SubjectFull: Algorithms
        Type: general
      – SubjectFull: Convex optimization
        Type: general
      – SubjectFull: Decay (organic)
        Type: general
      – SubjectFull: Flexible structures
        Type: general
      – SubjectFull: Linear matrix inequalities
        Type: general
      – SubjectFull: Optimization
        Type: general
      – SubjectFull: Piezoelectric ceramics
        Type: general
      – SubjectFull: Plates (structural components)
        Type: general
      – SubjectFull: Semiconducting lead compounds
        Type: general
      – SubjectFull: Sensors
        Type: general
      – SubjectFull: Structural design
        Type: general
      – SubjectFull: Vibrations (mechanical)
        Type: general
      – SubjectFull: Piezoelectric actuators
        Type: general
    Titles:
      – TitleFull: Active control in flexible plates with piezoelectric actuators using linear matrix inequalities
        Type: main
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            NameFull: Bueno, Douglas Domingues
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            NameFull: Marqui, Clayton Rodrigo
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            NameFull: Lopes Jr., Vicente
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            NameFull: Universidade Estadual Paulista (UNESP)
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2014
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