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Maintaining the glucose concentration in normoglycemic range in Type I diabetic patients is challenging. In this study H∞ control is applied for the insulin delivery to prevent the hyperglycemic levels in a type I diabetic patient. From a control theory point of view, the blood glucose regulation problem is reformulated as a tracking one. A glucose...
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... delivery of insulin to the type I diabetic patients. In this contribution, the control problem is reformulated by considering the rate of the blood glucose level. Ultimately the objective is to develop a closed-loop glucose control system [7]- [11] consisting of three components: 1) glucose sensor,2) control algorithm, and 3) mechanical pump(see Figure. 1). In this system, the glucose concentration will be measured by the glucose sensor and based on the measurement; the control algorithm will compute the optimal insulin delivery rate. The mechanical pump will then infuse the computed amount of ...
Citations
... The third stage involves the assignment of restrictions, in order to emulate the dynamic behavior of a person without diabetes. The restrictions worked include: rejection of the disturbance to the output of the plant and monitoring or tracking [8], in regard to the latter, the limits were established from the transfer function associated with the dynamics of glucose in a non-diabetic person when eat food [18], varying the settling time and peak value (variation of poles and gain) as a percentage around the temporal behavior reported by [17], [18] as shown in Figure 7. ...
... The third stage involves the assignment of restrictions, in order to emulate the dynamic behavior of a person without diabetes. The restrictions worked include: rejection of the disturbance to the output of the plant and monitoring or tracking [8], in regard to the latter, the limits were established from the transfer function associated with the dynamics of glucose in a non-diabetic person when eat food [18], varying the settling time and peak value (variation of poles and gain) as a percentage around the temporal behavior reported by [17], [18] as shown in Figure 7. ...
Type I diabetes mellitus is a metabolic disease in which pancreas does not produce enough insulin to regulate glucose in the human body between normal levels. This disorder implies that diabetic patient must regularly take insulin shots and it should be revised to regulate levels. Currently, once a person is diagnosed diabetic, doctor defines a dosise based on some patient parameters, such as sedentary lifestyle, age, weight, etc. This adjustment, is in some cases, traumatic for patient because sometimes the dosage is not correct and doctor should modify it. In this paper, a synthesized dynamic model of glucose concentrations in the blood for patients with type I diabetes mellitus is presented. It was obtained from the dynamic model of Sorensen, which represents the glucose, insulin and glucagon dynamics, with 19 nonlinear differential equations. Identification process was achieved to obtain the linear synthesized model by using inputs and outputs from the simulated model proposed by Sorensen. Also controller design was achieved by using two different strategies (PID and Quantitative Feedback Theory) in order to regulate automatically glucose levels within normal levels similar to healthy patient glucose profiles.
