Artículo
Computing Control Invariant Sets for Waiting-time Switched Systems: A Study Case of Glucose Regulation
Perez, Mara Isabel
; Anderson, Alejandro Luis
; Abuin, Pablo
; Hernandez Vargas, Esteban Abelardo; González, Alejandro Hernán
; Actis, Marcelo Jesús
Fecha de publicación:
06/2023
Editorial:
Institute of Electrical and Electronics Engineers
Revista:
IEEE Control Systems Letters
ISSN:
2475-1456
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
Waiting-time constraints, bounding the minimum and maximum time of permanence in a given mode of a switched system, can be included in optimization-based control formulations by means of hard constraints. However, basic concepts such as equilibrium and invariance sets are modified by these constraints affecting the formal stability analysis as well. This letter explores general regions of the state space wherein switched system trajectories under waiting-time constraints can feasibly (and indefinitely) remain inside, replacing the concept of invariance with those of permanence. Explicit algorithms to compute these regions inside an (out of the origin) target window are provided, while the glucose regulation problem for Type 1 Diabetes Mellitus (T1DM) patients is considered as an example to highlight its main properties.
Palabras clave:
INVARIANT SETS
,
SWITCHED SYSTEMS
,
TYPE 1 DIABETES MELLITUS
,
WAITING-TIMES
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Articulos(CCT - SANTA FE)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - SANTA FE
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - SANTA FE
Articulos(INTEC)
Articulos de INST.DE DES.TECNOL.PARA LA IND.QUIMICA (I)
Articulos de INST.DE DES.TECNOL.PARA LA IND.QUIMICA (I)
Citación
Perez, Mara Isabel; Anderson, Alejandro Luis; Abuin, Pablo; Hernandez Vargas, Esteban Abelardo; González, Alejandro Hernán; et al.; Computing Control Invariant Sets for Waiting-time Switched Systems: A Study Case of Glucose Regulation; Institute of Electrical and Electronics Engineers; IEEE Control Systems Letters; 7; 6-2023; 3114-3119
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