RESUMO
Using induced L2-norm minimization, a robust controller was developed for insulin delivery in Type I diabetic patients. The high-complexity nonlinear diabetic patient Sorensen-model was considered and Linear Parameter Varying methodology was used to develop open-loop model and robust H(∞) controller. Considering the normoglycaemic set point (81.1 mg/dL), a polytopic set was created over the physiologic boundaries of the glucose-insulin interaction of the Sorensen-model. In this way, Linear Parameter Varying model formalism was defined. The robust control was developed considering input and output multiplicative uncertainties with two additional uncertainties from those used in the literature: sensor noise and worst-case design for meal disturbance (60 g carbohydrate). Simulation scenario on large meal absorption illustrates the applicability of the robust LPV control technique, while patient variability is tested with real data taken from the SPRINT clinical protocol on ICU patients.
Assuntos
Glicemia/metabolismo , Simulação por Computador , Diabetes Mellitus Tipo 1/sangue , Diabetes Mellitus Tipo 1/tratamento farmacológico , Sistemas de Infusão de Insulina/estatística & dados numéricos , Idoso , Algoritmos , Cuidados Críticos , Ingestão de Alimentos , Feminino , Humanos , Bombas de Infusão Implantáveis/estatística & dados numéricos , Insulina/administração & dosagem , Insulina/sangue , Modelos Lineares , Masculino , Pessoa de Meia-Idade , Modelos BiológicosRESUMO
Using induced L(2)-norm minimization, a robust controller was developed for insulin delivery in Type I diabetic patients. The high-complexity nonlinear diabetic patient Sorensen-model [1] was considered. LPV (Linear Parameter Varying) methodology was used to develop open loop model and robust controller. Considering the normoglycemic set point (81.1 mg/dL), a polytopic set was created over the physiologic boundaries of the glucose-insulin interaction of the Sorensen-model. In this way, LPV model formalism was defined. The robust control was developed considering input and output multiplicative uncertainties with other weighting functions.