References of "N'Doye, Ibrahima"
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See detailStatic Output Feedback H-infinity Control for a Fractional-Order Glucose-Insulin System
N'Doye, Ibrahima; Voos, Holger UL; Darouach, Mohamed et al

in International Journal of Control, Automation, and Systems (2015), 13(4), 798-807

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 ... [more ▼]

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. [less ▲]

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See detailOn the robustness of linear and non-linear fractional-order systems with non-linear uncertain parameters
N'Doye, Ibrahima; Darouach, Mohamed; Voos, Holger UL et al

in IMA Journal of Mathematical Control and Information (2015)

This paper presents the robust stabilization problem of linear and non-linear fractional-order systems with non-linear uncertain parameters. The uncertainty in the model appears in the form of the ... [more ▼]

This paper presents the robust stabilization problem of linear and non-linear fractional-order systems with non-linear uncertain parameters. The uncertainty in the model appears in the form of the combination of ‘additive perturbation’ and ‘multiplicative perturbation’. Sufficient conditions for the robust asymptotical stabilization of linear fractional-order systems are presented in terms of linear matrix inequalities (LMIs) with the fractional-order 0<α<1. Sufficient conditions for the robust asymptotical stabilization of non-linear fractional-order systems are then derived using a generalization of the Gronwall–Bellman approach. Finally, a numerical example is given to illustrate the effectiveness of the proposed results. [less ▲]

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See detailH-infinity Adaptive Observer Design and Parameter Identification for a Class of Nonlinear Fractional-Order Systems
N'Doye, Ibrahima; Voos, Holger UL; Laleg-Kirati, Taous-Meriem et al

in 53rd IEEE Conference Decision and Control, CDC’14, Los Angeles, USA, 15-17 Dec. 2014 (2014, December)

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See detailChaos in a Fractional-Order Cancer System
N'Doye, Ibrahima; Voos, Holger UL; Darouach, Mohamed

in European Control Conference (ECC), Strasbourg, France, 24 - 27 June 2014 (2014, June)

Detailed reference viewed: 80 (1 UL)