On hypoglycemic levels induced by H∞ control on type I diabetes mellitus

Distinct robust controllers based on H∞-theory have been developed to prevent hyperglycemic levels in type I diabetic patients. The underlying idea is that the calculated insulin by these controllers is automatically adjusted by computation and delivered by an insulin pump via intravenous route. Although the evidence shows that severe hyperglycemic condition can be handled by these controllers, none has been tested on possible hypoglycemic scenarios which can be attributable to changes in physiological parameters under action of automatic insulin delivery. In this paper, a computational essay on hypoglycemic scenarios for three robust H∞ controllers is presented. The objective is to study controllers performance in face to hypoglycemic scenarios induced by metabolic parameters. For this purpose two parameters on hepatic glucose production were selected to test the controllers execution against hypoglycemic scenarios. The results were analyzed statistically resulting similar for the three controllers. Our essay shows conditions such that the analyzed controllers cannot prevent hypoglycemic conditions even if they compute that delivered insulin has to be null at sub-intervals.