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    Robust fractional-order proportional-integral observer for synchronization of chaotic fractional-order systems

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    Type
    Article
    Authors
    N U+02BC Doye, Ibrahima
    Salama, Khaled N. cc
    Laleg-Kirati, Taous-Meriem cc
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Electrical Engineering Program
    Computational Bioscience Research Center (CBRC)
    Date
    2018-02-13
    Online Publication Date
    2018-02-13
    Print Publication Date
    2018
    Permanent link to this record
    http://hdl.handle.net/10754/627214
    
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    Abstract
    In this paper, we propose a robust fractional-order proportional-integral U+0028 FOPI U+0029 observer for the synchronization of nonlinear fractional-order chaotic systems. The convergence of the observer is proved, and sufficient conditions are derived in terms of linear matrix inequalities U+0028 LMIs U+0029 approach by using an indirect Lyapunov method. The proposed U+0028 FOPI U+0029 observer is robust against Lipschitz additive nonlinear uncertainty. It is also compared to the fractional-order proportional U+0028 FOP U+0029 observer and its performance is illustrated through simulations done on the fractional-order chaotic Lorenz system.
    Citation
    N U+02BC Doye I, Salama KN, Laleg-Kirati T-M (2018) Robust fractional-order proportional-integral observer for synchronization of chaotic fractional-order systems. IEEE/CAA Journal of Automatica Sinica: 1–10. Available: http://dx.doi.org/10.1109/JAS.2017.7510874.
    Sponsors
    This work was supported by King Abdullah University of Science and Technology (KAUST), KSA. Recommended by Associate Editor Xiaoming Hu.
    Publisher
    Institute of Electrical and Electronics Engineers (IEEE)
    Journal
    IEEE/CAA Journal of Automatica Sinica
    DOI
    10.1109/JAS.2017.7510874
    Additional Links
    http://ieeexplore.ieee.org/document/8291081/
    ae974a485f413a2113503eed53cd6c53
    10.1109/JAS.2017.7510874
    Scopus Count
    Collections
    Articles; Electrical Engineering Program; Computational Bioscience Research Center (CBRC); Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

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