Control by pulses under MPC schemes, with applications to artificial pancreas

ANTONIO FERRAMOSCA; ALEJANDRO HERNAN GONZALEZ; PABLO ABUIN; JOSÉ LUIS GODOY; PABLO SANTIAGO RIVADENEIRA

Bahia Blanca

Workshop; XVIII Workshop on Information Processing and Control; 2019

Universidad Nacional del Sur

In many applications - mainly coming from the biomedical field - the control actions cannot be continuouslyapplied to the system under control. The most extreme case is the one that derives in the impulsive control: the control actions are instantaneously injected into the system (modeled as Dirac delta signal) at certain time instants and remain null the rest of the time in a given period. This representation is useful to account for input injections of enough short duration in comparison with the time period. However, in many other applications, this hypothesisis hard to approximate, since the input injection lasts a nonnegligible short time into the period. This way, the inputs are pulses instead of impulses, but still remain null a considerable portion of the period. The main objective of this work is to properly model this kind of controlled systems and to propose an MPC strategy that appropriately exploits this representation. The benefits of both, the model and the control strategy are tested by means of the control of the commercially available (FDA approved) UVa/Padova Type 1 Diabetes Metabolic simulator.