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    Static output feedback ℋ ∞ control for a fractional-order glucose-insulin system

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    Type
    Article
    Authors
    N’Doye, Ibrahima
    Voos, Holger
    Darouach, Mohamed
    Schneider, Jochen G.
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Date
    2015-05-23
    Online Publication Date
    2015-05-23
    Print Publication Date
    2015-08
    Permanent link to this record
    http://hdl.handle.net/10754/594256
    
    Metadata
    Show full item record
    Abstract
    This paper presents the ℋ∞ static output feedback control of nonlinear fractional-order systems. Based on the extended bounded real lemma, the ℋ∞ control is formulated and sufficient conditions are derived in terms of linear matrix inequalities (LMIs) formulation by using the fractional Lyapunov direct method where the fractional-order α belongs to 0 < α < 1. The control approach is finally applied to the regulation of the glucose level in diabetes type 1 treatment. Therefore, it is attempted to incorporate fractional-order into the mathematical minimal model of glucose-insulin system dynamics and it is still an interesting challenge to show, how the order of a fractional differential system affects the dynamics of the system in the presence of meal disturbance. Numerical simulations are carried out to illustrate our proposed results and show that the nonlinear fractional-order glucose-insulin systems are, at least, as stable as their integer-order counterpart in the presence of exogenous glucose infusion or meal disturbance. © 2015 Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg
    Citation
    N’Doye I, Voos H, Darouach M, Schneider JG (2015) Static output feedback ℋ ∞ control for a fractional-order glucose-insulin system. Int J Control Autom Syst 13: 798–807. Available: http://dx.doi.org/10.1007/s12555-013-9192-y.
    Publisher
    Springer Nature
    Journal
    International Journal of Control, Automation and Systems
    DOI
    10.1007/s12555-013-9192-y
    ae974a485f413a2113503eed53cd6c53
    10.1007/s12555-013-9192-y
    Scopus Count
    Collections
    Articles; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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