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    Design of Robust Vibration Controller for a Smart Panel Using Finite Element Model

    Source: Journal of Vibration and Acoustics:;2002:;volume( 124 ):;issue: 002::page 265
    Author:
    W. Chang
    ,
    Senthil V. Gopinathan
    ,
    V. V. Varadan
    ,
    V. K. Varadan
    DOI: 10.1115/1.1448319
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper presents a model reduction method and uncertainty modeling for the design of a low-order H∞ robust controller for suppression of smart panel vibration. A smart panel with collocated piezoceramic actuators and sensors is modeled using solid, transition, and shell finite elements, and then the size of the model is reduced in the state space domain. A robust controller is designed not only to minimize the panel vibration excited by applied uniform acoustic pressure, but also to be reliable in real world applications. This paper introduces the idea of Modal Hankel Singular values (MHSV) to reduce the finite element model to a low-order state space model with minimum model reduction error. MHSV measures balanced controllability and observability of each resonance mode to deselect insignificant resonance modes. State space modeling of realistic control conditions are formulated in terms of uncertainty variables. These uncertainty variables include uncertainty in actuators and sensors performances, uncertainty in the knowledge of resonance frequencies of the structure, damping ratio, static stiffness, unmodeled high resonance vibration modes, etc. The simplified model and the uncertainty model are combined as an integrated state space model, and then implemented in the H∞ control theory for controller parameterization. The low-order robust controller is easy to implement in an analog circuit to provide a low cost solution in a variety of applications where cost may be a limiting factor.
    keyword(s): Control equipment , Design , Modeling , Vibration , Uncertainty , Finite element model , Sensors , Actuators AND Resonance ,
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      Design of Robust Vibration Controller for a Smart Panel Using Finite Element Model

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/127727
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    • Journal of Vibration and Acoustics

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    contributor authorW. Chang
    contributor authorSenthil V. Gopinathan
    contributor authorV. V. Varadan
    contributor authorV. K. Varadan
    date accessioned2017-05-09T00:09:08Z
    date available2017-05-09T00:09:08Z
    date copyrightApril, 2002
    date issued2002
    identifier issn1048-9002
    identifier otherJVACEK-28861#265_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/127727
    description abstractThis paper presents a model reduction method and uncertainty modeling for the design of a low-order H∞ robust controller for suppression of smart panel vibration. A smart panel with collocated piezoceramic actuators and sensors is modeled using solid, transition, and shell finite elements, and then the size of the model is reduced in the state space domain. A robust controller is designed not only to minimize the panel vibration excited by applied uniform acoustic pressure, but also to be reliable in real world applications. This paper introduces the idea of Modal Hankel Singular values (MHSV) to reduce the finite element model to a low-order state space model with minimum model reduction error. MHSV measures balanced controllability and observability of each resonance mode to deselect insignificant resonance modes. State space modeling of realistic control conditions are formulated in terms of uncertainty variables. These uncertainty variables include uncertainty in actuators and sensors performances, uncertainty in the knowledge of resonance frequencies of the structure, damping ratio, static stiffness, unmodeled high resonance vibration modes, etc. The simplified model and the uncertainty model are combined as an integrated state space model, and then implemented in the H∞ control theory for controller parameterization. The low-order robust controller is easy to implement in an analog circuit to provide a low cost solution in a variety of applications where cost may be a limiting factor.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleDesign of Robust Vibration Controller for a Smart Panel Using Finite Element Model
    typeJournal Paper
    journal volume124
    journal issue2
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.1448319
    journal fristpage265
    journal lastpage276
    identifier eissn1528-8927
    keywordsControl equipment
    keywordsDesign
    keywordsModeling
    keywordsVibration
    keywordsUncertainty
    keywordsFinite element model
    keywordsSensors
    keywordsActuators AND Resonance
    treeJournal of Vibration and Acoustics:;2002:;volume( 124 ):;issue: 002
    contenttypeFulltext
    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian
     
    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian