MPC with State Window Target Control in Linear Impulsive Systems

Authors
Rivadeneira Paz, Pablo Santiago; Ferramosca, Antonio; González, Alejandro Hernán
Publication Year
2015
Language
English
Format
article
Status
Published version
Description
In this paper a zone MPC controller is proposed to deal with the tracking problem of linear impulsive control systems. The control strategy is based on the analysis of some system equilibrium generalizations, which are characterized by means of two underlying discrete-time systems. First, it is shown that the impulsive system has a kind of orbits in the state space, passing trough the equilibrium points of the underlying systems, and then, these geometric equilibrium entities (the orbits) are used as possible targets for a zone control system. Based on this new description, an efficient MPC algorithm is designed to steer the system to a set - usually associated to a "therapeutic window" in drug administration problems - that includes a previously defined family of orbits. The strategy is tested by controlling an impulsive model of an intravenous bolus administration of Lithium ions system.
Fil: Rivadeneira Paz, Pablo Santiago. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Desarrollo Tecnológico Para la Industria Química (i); Argentina
Fil: Ferramosca, Antonio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química (i); Argentina
Fil: González, Alejandro Hernán. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Desarrollo Tecnológico Para la Industria Química (i); Argentina
Subject
Impulsive Systems
Tracking
Model Predictive Control
Stability
Control Automático y Robótica
Ingeniería Eléctrica, Ingeniería Electrónica e Ingeniería de la Información
INGENIERÍAS Y TECNOLOGÍAS
Access level
Restricted access
License
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repository
CONICET Digital (CONICET)
Institution
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identifier
oai:ri.conicet.gov.ar:11336/9731