scholarly journals Fuzzy Logic Strategy for Solving an Optimal Control Problem of Glucose and Insulin in Diabetic Human

2013 ◽  
Vol 03 (07) ◽  
pp. 421-429 ◽  
Author(s):  
Jean Marie Ntaganda
Keyword(s):  
Optimal Control ◽  
Fuzzy Logic ◽  
Optimal Control Problem ◽  
Control Problem

scholarly journals Solving an optimal control problem of hepatitis B virus dynamics: Efficacy of fuzzy logic strategy

2021 ◽  
Vol 4 (1) ◽  
pp. 1-18
Author(s):  
Marcel Gahamanyi ◽  
Wellars Banzi ◽  
Jean Marie Ntaganda
Keyword(s):  
Optimal Control ◽  
Fuzzy Logic ◽  
Hepatitis B Virus ◽  
Hepatitis B ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Direct Method ◽  
Linear Quadratic ◽  
B Virus ◽  
Good Agreement

This work aims at using fuzzy logic strategy to solve a hepatitis B virus (HBV) optimal control problem. To test the efficacy of this numerical method, we compare numerical results with those obtained using direct method. We consider a patient under treatment during 12 months where the two drugs are taken as controls. The results are rather satisfactory. In particular, the reaction of HBV to drugs can be modeled and a feedback can be approximated by the solution of a linear quadratic problem. The drugs reduce the risk of HBV. Furthermore, results of both numerical methods are in good agreement with experimental data and this justifies the efficacy of fuzzy logic strategy in solving optimal control problems.

REDUCED MODEL OF PLASMA DISCHARGE CONTROL IN TOKAMAK WITH IRON CORE

2020 ◽  
Vol 7 (3) ◽  
pp. 11-22
Author(s):  
VALERY ANDREEV ◽  
◽  
ALEXANDER POPOV
Keyword(s):  
Optimal Control ◽  
Inverse Problem ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Nonlinear Behavior ◽  
Plasma Discharge ◽  
Reduced Model ◽  
Iron Core ◽  
Power Sources ◽  
Real Power

A reduced model has been developed to describe the time evolution of a discharge in an iron core tokamak, taking into account the nonlinear behavior of the ferromagnetic during the discharge. The calculation of the discharge scenario and program regime in the tokamak is formulated as an inverse problem - the optimal control problem. The methods for solving the problem are compared and the analysis of the correctness and stability of the control problem is carried out. A model of “quasi-optimal” control is proposed, which allows one to take into account real power sources. The discharge scenarios are calculated for the T-15 tokamak with an iron core.

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