INVESTIGADORES
GONZALEZ Alejandro Hernan
congresos y reuniones científicas
Título:
Computing control invariant sets for waiting-time switched systems: a study case of glucose regulation
Autor/es:
PEREZ, MARA ISABEL; ANDERSON, ALEJANDRO; ABUIN, PABLO; HERNANDEZ VARGAS, ESTEBAN ABELARDO; GONZÁLEZ, ALEJANDRO HERNÁN; ACTIS, MARCELO
Reunión:
Congreso; IEEE 62nd Conference on Decision and Control (CDC); 2023
Institución organizadora:
IEEE
Resumen:
Waiting-time constraints, bounding the minimumand maximum time of permanence in a given mode of aswitched system, can be included in optimization-based controlformulations by means of hard constraints. However, basicconcepts such as equilibrium and invariance sets are modifiedby these constraints, affecting the formal stability analysis.This paper explores general regions of the state space whereinswitched system trajectories under waiting-time constraints canfeasibly (and indefinitely) remain inside, replacing the conceptof invariance with those of permanence. Explicit algorithmsto compute these regions inside an (out of the origin) targetwindow are provided, while the glucose regulation problem forType 1 Diabetes Mellitus (T1DM) patients is considered as anexample to highlight its main properties.
