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    A unified parameter identification method for nonlinear time-delay systems

    203435_71168_paper.pdf (437.9Kb)
    Access Status
    Open access
    Authors
    Chai, Q.
    Loxton, Ryan
    Teo, Kok Lay
    Yang, C.
    Date
    2013
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Chai, Q. and Loxton, R. and Teo, K.L. and Yang, C. 2013. A unified parameter identification method for nonlinear time-delay systems. Journal of Industrial and Management Optimization (JIMO). 9 (2): pp. 471-486.
    Source Title
    Journal of Industrial and Management Optimization (JIMO)
    DOI
    10.3934/jimo.2013.9.471
    ISSN
    1553-166X
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/15508
    Collection
    • Curtin Research Publications
    Abstract

    This paper deals with the problem of identifying unknown time-delays and model parameters in a general nonlinear time-delay system. We propose a unified computational approach that involves solving a dynamic optimization problem, whose cost function measures the discrepancy between predicted and observed system output, to determine optimal values for the unknown quantities. Our main contribution is to show that the partial derivatives of this cost function can be computed by solving a set of auxiliary time-delay systems. On this basis, the parameter identification problem can be solved using existing gradient-based optimization techniques. We conclude the paper with two numerical simulations.

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