A variable reference trajectory for model-free glycemia regulation

Taghreed Mohammad Ridha (1) , Claude Moog (1) , Emmanuel Delaleau (2) , Michel Fliess (3) , Cédric Join (4, 5)

1 IRCCyN - Institut de Recherche en Communications et en Cybernétique de Nantes
2 L@BISEN - Laboratoire ISEN
3 LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau]
4 NON-A - Non-Asymptotic estimation for online systems
5 CRAN - Centre de Recherche en Automatique de Nancy

The control design of an artificial pancreas, a hot research topic in diabetology, is tackled via the newly introduced model-free control and its corresponding "intelligent" proportional controller, which were already quite successful in many concrete and diverse situations. It results in an insulin injection for type 1 diabetes which displays via constant references a good nocturnal/fasting response, but unfortunately a poor postprandial behavior due to long hyperglycemia. When a variable reference is introduced, that switches between a constant one, when glycemia is more or less normal or moderate, and an exponential decay reference path, when a high glycemia rate indicates a meal intake, the results in silico, which employ real clinical data, become excellent. We obtain a bolus-shaped insulin injection rate during postprandial phases. The hyperglycemic peaks are therefore lowered a lot.

Mots clés: control algorithms; variable reference trajectory; artificial pancreas; type 1 diabetes; intelligent proportional controller; model-free control; algebraic estimation techniques

Domaines: Ingénierie biomédicale; Automatique; Automatique / Robotique; Optimisation et contrôle [math.OC]

Taghreed Mohammad Ridha, Claude Moog, Emmanuel Delaleau, Michel Fliess, Cédric Join. A variable reference trajectory for model-free glycemia regulation. SIAM Conference on Control & its Applications, SIAM CT15, Jul 2015, Paris, France. pp.60-67. ⟨hal-01141268⟩