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:: Volume 8, Issue 4 (Journal of Control, V.8, N.4 Winter 2015) ::
JoC 2015, 8(4): 31-41 Back to browse issues page
Optimal Glucose-Insulin Regulatory System in Type1 Diabetic Patients Based on the Nonlinear Time Delay Models
Mohamad Sadegh Akhyani * 1, Hamid Khaloozadeh Dr
Abstract:   (3585 Views)
In recent decades, control systems theory is used in many industrial and medical issues. Various control strategies are applied to this medical issues such as diabetes which is used to maintain normal glycemia in the patients suffering from diabetes. Obtain the appropriate insulin infusion rate in order to keep the patient’s glucose levels within predefined limits is always an interesting subject for physicians. Nonlinear time delay differential equations are well known to have arisen the diabetic patient modeling. Nonlinear time delay modeling leads to a small number of equations, but the control method will be far more complex. In this paper a new technique is introduced to solve optimal control in nonlinear time delay systems, called ESDRE. A nonlinear state feedback is designed to track the desired glycemia for a diabetic patients based on pseudo linearization method. This method gives suboptimal solution for the problem. The stability of the closed-loop systems based on the ESDRE technique is also studied. Using this method, the optimal insulin infusion rate as the control signal is obtained and glycemia in type1 diabetic patients converges to the desired normal range. The results of the proposed method are compared with the Palumbo's nonlinear controller which is based on feedback linearization. The results of the simulations, represents the efficiency of the proposed method.
Keywords: Optimal control of diabetic patient, Nonlinear time delay systems, Pseudo linearization, DDE models, ESDRE method
Full-Text [PDF 1033 kb]   (1002 Downloads)    
Type of Study: Research | Subject: Special
Received: 2014/12/14 | Accepted: 2015/04/17 | Published: 2015/04/17
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Akhyani M S, Khaloozadeh H. Optimal Glucose-Insulin Regulatory System in Type1 Diabetic Patients Based on the Nonlinear Time Delay Models. JoC. 2015; 8 (4) :31-41
URL: http://joc.kntu.ac.ir/article-1-180-en.html


Volume 8, Issue 4 (Journal of Control, V.8, N.4 Winter 2015) Back to browse issues page
مجله کنترل Journal of Control
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