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    Nonlinear Parameter Identification in Multibody Systems Using Homotopy Continuation

    Source: Journal of Computational and Nonlinear Dynamics:;2012:;volume( 007 ):;issue: 001::page 11012
    Author:
    Chandrika P. Vyasarayani
    ,
    Thomas Uchida
    ,
    John McPhee
    DOI: 10.1115/1.4004885
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The identification of parameters in multibody systems governed by ordinary differential equations, given noisy experimental data for only a subset of the system states, is considered in this work. The underlying optimization problem is solved using a combination of the Gauss–Newton and single-shooting methods. A homotopy transformation motivated by the theory of state observers is proposed to avoid the well-known issue of converging to a local minimum. By ensuring that the response predicted by the mathematical model is very close to the experimental data at every stage of the optimization procedure, the homotopy transformation guides the algorithm toward the global minimum. To demonstrate the efficacy of the algorithm, parameters are identified for pendulum-cart and double-pendulum systems using only one noisy state measurement in each case. The proposed approach is also compared with the linear regression method.
    keyword(s): Optimization , Equations , Pendulums , Multibody systems , Algorithms AND Differential equations ,
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      Nonlinear Parameter Identification in Multibody Systems Using Homotopy Continuation

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/148373
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    • Journal of Computational and Nonlinear Dynamics

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    contributor authorChandrika P. Vyasarayani
    contributor authorThomas Uchida
    contributor authorJohn McPhee
    date accessioned2017-05-09T00:48:50Z
    date available2017-05-09T00:48:50Z
    date copyrightJanuary, 2012
    date issued2012
    identifier issn1555-1415
    identifier otherJCNDDM-25798#011012_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/148373
    description abstractThe identification of parameters in multibody systems governed by ordinary differential equations, given noisy experimental data for only a subset of the system states, is considered in this work. The underlying optimization problem is solved using a combination of the Gauss–Newton and single-shooting methods. A homotopy transformation motivated by the theory of state observers is proposed to avoid the well-known issue of converging to a local minimum. By ensuring that the response predicted by the mathematical model is very close to the experimental data at every stage of the optimization procedure, the homotopy transformation guides the algorithm toward the global minimum. To demonstrate the efficacy of the algorithm, parameters are identified for pendulum-cart and double-pendulum systems using only one noisy state measurement in each case. The proposed approach is also compared with the linear regression method.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleNonlinear Parameter Identification in Multibody Systems Using Homotopy Continuation
    typeJournal Paper
    journal volume7
    journal issue1
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4004885
    journal fristpage11012
    identifier eissn1555-1423
    keywordsOptimization
    keywordsEquations
    keywordsPendulums
    keywordsMultibody systems
    keywordsAlgorithms AND Differential equations
    treeJournal of Computational and Nonlinear Dynamics:;2012:;volume( 007 ):;issue: 001
    contenttypeFulltext
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