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    Estimation Methods for Fractional-Order Systems

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    Type
    Book Chapter
    Authors
    Belkhatir, Zehor cc
    Ndoye, Ibrahima cc
    Laleg-Kirati, Taous-Meriem cc
    KAUST Department
    Computational Bioscience Research Center (CBRC)
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Electrical Engineering Program
    Estimation, Modeling and ANalysis Group
    Physical Science and Engineering (PSE) Division
    Date
    2018
    Permanent link to this record
    http://hdl.handle.net/10754/668032
    
    Metadata
    Show full item record
    Abstract
    This chapter deals with the design of estimation algorithms for fractional-order systems (FOSs). In particular, asymptotic and nonasymptotic methods, namely observer-based method and the modulating functions-based method, are presented, respectively. The first approach proposes an adaptive observer to estimate jointly the pseudostate and the parameters of nonlinear commensurate FOSs represented by a pseudostate representation. However, the second approach is concerned with linear noncommensurate FOSs represented by an input-output mapping and for which a modulating functions-based method is introduced to estimate the parameters and fractional differentiation orders. The analytical derivations for both techniques are provided. Moreover, their performance is illustrated through some numerical simulations.
    Citation
    Belkhatir, Z., N’Doye, I., & Laleg-Kirati, T. M. (2018). Estimation Methods for Fractional-Order Systems. Fractional Order Systems, 451–475. doi:10.1016/b978-0-12-816152-4.00015-7
    Publisher
    Elsevier BV
    ISBN
    9780128161524
    DOI
    10.1016/b978-0-12-816152-4.00015-7
    Additional Links
    https://linkinghub.elsevier.com/retrieve/pii/B9780128161524000157
    ae974a485f413a2113503eed53cd6c53
    10.1016/b978-0-12-816152-4.00015-7
    Scopus Count
    Collections
    Physical Science and Engineering (PSE) Division; Electrical Engineering Program; Computational Bioscience Research Center (CBRC); Book Chapters; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

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