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    Finite-time estimation algorithms for LPV discrete-time systems with application to output feedback stabilization

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    Automatica_Khadidja_LPV (1).pdf
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    Description:
    Accepted Manuscript
    Embargo End Date:
    2022-01-15
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    Type
    Article
    Authors
    Chaib-Draa, Khadidja
    Zemouche, Ali
    Bedouhene, Fazia
    Rajamani, Rajesh
    Wang, Yan
    Karimi, Hamid Reza
    Laleg-Kirati, Taous-Meriem cc
    KAUST Department
    Electrical Engineering Program
    Computational Bioscience Research Center (CBRC)
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Physical Science and Engineering (PSE) Division
    KAUST Grant Number
    BAS/1/1627-0101
    Date
    2021-01-16
    Embargo End Date
    2022-01-15
    Submitted Date
    2020-01-09
    Permanent link to this record
    http://hdl.handle.net/10754/667055
    
    Metadata
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    Abstract
    This paper deals with new finite-time estimation algorithms for Linear Parameter Varying (LPV) discrete-time systems and their application to output feedback stabilization. Two exact finite-time estimation schemes are proposed. The first scheme provides a direct and explicit estimation algorithm based on the use of delayed outputs, while the second scheme uses two combined asymptotic observers, connected by a condition of invertibility of a certain time-varying matrix, to recover solution of the LPV system in a finite-time. Furthermore, two stabilization strategies are proposed. The first strategy, called Delayed Inputs/Outputs Feedback (DIOF) stabilization method, is based on the use of the explicit estimation algorithm. The second technique, called Two Connected Observers Feedback (2-COF) stabilization method, is based on the use of two combined observers providing exact finite-time estimation. A numerical example is given to show the validity and effectiveness of the proposed algorithms by simulation.
    Citation
    Chaib-Draa, K., Zemouche, A., Bedouhene, F., Rajamani, R., Wang, Y., Karimi, H. R., & Laleg-Kirati, T. M. (2021). Finite-time estimation algorithms for LPV discrete-time systems with application to output feedback stabilization. Automatica, 125, 109436. doi:10.1016/j.automatica.2020.109436
    Sponsors
    The authors would like to thank the anonymous reviewers for their constructive comments and helpful suggestions. This work was funded by the TechnOptiz start-up company founded by K. Chaib-Draa, and by King Abdullah University of Science and Technology (KAUST) baseline (BAS/1/1627-0101). R. Rajamani thanks the Benjamin Y.H.Liu-TSI endowment fund for support. F. Bedouhene thanks the Direction Générale de la Recherche Scientientifique et du Développement Technologique DGRSDT/MESRS-Algeria for the financial support. A. Zemouche thanks the IUT Henri Poincaré of Longwy for the partial support of this work.
    Publisher
    Elsevier BV
    Journal
    Automatica
    DOI
    10.1016/j.automatica.2020.109436
    Additional Links
    https://linkinghub.elsevier.com/retrieve/pii/S0005109820306385
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.automatica.2020.109436
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Electrical Engineering Program; Computational Bioscience Research Center (CBRC); Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

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