Blood-Glucose Regulation Using Fractional-Order PID Control

Journal of control, automation and electrical systems

article

Paiva, Henrique Mohallem¹  Keller, Wagner Souza¹  da Cunha, Luísa Garcia Ribeiro¹ 

[1] UNIFESP - Universidade Federal de Sao Paulo (Federal University of Sao Paulo)

关键词: Automatic control;    Fractional control;    FOPID;    Blood-glucose regulation;   

DOI  :  10.1007/s40313-019-00552-0

学科分类：自动化工程

来源: Springer

【 摘 要 】

This paper proposes a blood-glucose regulation approach employing a fractional-order proportional-integral-derivative (FOPID) controller, whose parameters are tuned using a numerical optimization methodology. The proposed technique is tested on 100 virtual patients using the Dalla Man model, an in silico type-1 diabetic patient model from the literature. The results are favorably compared with the ones obtained with a standard PID control. In a series of simulated tests, the FOPID approach leads to better results in terms of regulating the blood glucose levels between the specified limits, at the expense of requiring a higher, yet reasonable amount of insulin injected to the patient. Simulations were run for one day, and two different diets were considered. The quality of the regulation was measured in terms of the integral of blood glucose beyond the specified limits of 70 and 180 mg/dl. The values obtained with the PID controller were $$17.5 \pm 18.9$$ 17.5±18.9 and $$13.1 \pm 16.8$$ 13.1±16.8 min g/dl, while the FOPID controller leads to values of $$7.3 \pm 9.3$$ 7.3±9.3 and $$7.0 \pm 8.0$$ 7.0±8.0 min g/dl, respectively. On the other hand, the FOPID increased the request amount of insulin, from $$1.9 \pm 1.6$$ 1.9±1.6 and $$1.7 \pm 1.5$$ 1.7±1.5 nmol/kg to $$3.0 \pm 2.2$$ 3.0±2.2 and $$2.7 \pm 2.0$$ 2.7±2.0 nmol/kg (still within the expected daily range of 3–6 nmol/kg of insulin).

【 授权许可】

CC BY