Análisis de un controlador adaptable con observador de estado por modos deslizantes para un modelo de tratamiento de diabetes tipo 1

Juan David Núñez-López, María F. Villa-Tamayo, Juan Pablo Arango-Restrepo, Héctor A. Botero-Castro

Resumen


El desarrollo del Páncreas Artificial, el cual consiste en la implementación de una bomba de infusión continua de insulina y de sensores para el monitoreo de glucosa en la sangre, es una prioridad para el tratamiento de personas con diabetes tipo 1. Para lograr la automatización completa de este proceso se han propuesto varias estrategias de control con el objetivo de mantener los niveles de glucosa en la sangre en el rango de normoglucemia. Entre las estrategias desarrolladas se destacan las basadas en control adaptable, para contrarrestar el efecto de las variaciones fisiológicas inherentes al paciente. Sin embargo, estas estrategias requieren la medición completa del estado, lo cual no es una tarea fácil debido al costo de los sensores y a la dificultad inherente en la medición directa de variables fisiológicas. Por lo tanto, en este trabajo se usa una estrategia de control adaptable con estabilidad garantizada para un modelo de control de insulina y se diseña un observador de estado no lineal por modos deslizantes, con el fin de estimar las variables de estado que requiere el controlador. Con el sistema completo control-observador se logran resultados satisfactorios al compensar la ingesta de alimentos y los errores entre los parámetros del modelo y del sujeto.

The development of the Artificial Pancreas, which consists of the implementation of a continuous insulin infusion pump and sensors for blood glucose monitoring, is a priority for the treatment of subjects with type 1 diabetes. To achieve a complete automation of this process several control strategies have been proposed with the aim of maintaining blood glucose levels in the normoglycemic range. Among the developed strategies, those based on adaptive control stand out, to counteract the effect of physiological variations that are inherent to the patient. However, these strategies require full state measurement, which is not an easy task because of sensors cost and the inherent difficulty in direct measurement of physiological variables. Therefore, in this work, an adaptive control strategy with guaranteed stability is used for an insulin control model, and a nonlinear sliding mode observer is designed to estimate the state variables that the controller requires. With the complete control-observer system, satisfactory results are obtained by compensating for meal intake and errors between the model and subject parameters.


Palabras clave


Control Adaptable; Modelo Glucosa- Insulina; Diabetes Mellitus Tipo 1; observador por modos deslizantes

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Referencias


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DOI: https://doi.org/10.33571/rpolitec.v16n32a2

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Revista Politécnica 
ISSN: 1900-2351
ISSN: 2256-5353 (En línea)

DOI:  10.33571/rpolitec

Editada por: Politécnico Colombiano Jaime Isaza Cadavid