References of "International Journal of Control, Automation, and Systems"
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See detailStochastic Analysis of Dead-time Systems using a Hybrid Spectral Method
Duong, Pham UL

in International Journal of Control, Automation, and Systems (2015), 13(5),

Abstract: Control systems often operate in the presence of dead-time. However, in most works, these dead-time systems are studied in a deterministic manner, which have low precision and reliability. Many ... [more ▼]

Abstract: Control systems often operate in the presence of dead-time. However, in most works, these dead-time systems are studied in a deterministic manner, which have low precision and reliability. Many natural systems often suffer stochastic noise that causes fluctuations in their behavior, making their responses deviate from nominal models. Therefore, it is important to investigate such statistical characteristic of states (mean, variance, etc.) for those stochastic systems. This problem is often called statistical analysis of a system. A hybrid spectral method represents a powerful numerical tool for sta- tistical analysis of stochastic linear system. Thus, a hybrid spectral technique is proposed for statistical analysis of the time delay system under affections of random parameters and inputs. Numerical exam- ples are considered to demonstrate the validity of the proposed method. Comparison with the tradition- al Monte-Carlo and the polynomial chaos methods is made to demonstrate the computationally less- demanding feature of the proposed method. [less ▲]

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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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