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Model Predictive Control for Linear Impulsive Systems

Sopasakis, Pantelis and Patrinos, Panagiotis and Sarimveis, Haralambos and Bemporad, Alberto Model Predictive Control for Linear Impulsive Systems. IEEE Transactions on Automatic Control , 60 (8). pp. 2277-2282. ISSN 0018-9286 (2015)

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Abstract

Linear impulsive control systems have been extensively studied with respect to their equilibrium points which, in most cases, are no other than the origin. However, the trajectory of an impulsive system cannot be stabilized to arbitrary desired points hindering their utilization in a great many applications. In this paper, we study the equilibrium of linear impulsive systems with respect to target-sets. We properly extend the notion of invariance and design stabilizing model predictive controllers (MPC). Finally, we apply the proposed methodology to control the intravenous bolus administration of Lithium.

Item Type: Article
Identification Number: 10.1109/TAC.2014.2380672
Uncontrolled Keywords: Impulsive systems, Invariance, Stability, Model predictive control, Bolous, Drug administration
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
T Technology > T Technology (General)
Research Area: Computer Science and Applications
Depositing User: Caterina Tangheroni
Date Deposited: 19 May 2015 09:35
Last Modified: 28 Oct 2015 14:47
URI: http://eprints.imtlucca.it/id/eprint/2681

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