Model predictive control for linear impulsive systems

Pantelis Sopasakis; Panagiotis Patrinos; Haralambos Sarimveis; Alberto Bemporad

doi:10.1109/TAC.2014.2380672

Model predictive control for linear impulsive systems

Pantelis Sopasakis, Panagiotis Patrinos, Haralambos Sarimveis, Alberto Bemporad

School of Electronics, Electrical Engineering and Computer Science

Research output: Contribution to journal › Article › peer-review

42 Citations (Scopus)

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 technical note, 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.

Original language	English
Pages (from-to)	2277-2282
Journal	IEEE Transactions on Automatic Control
Volume	60
Issue number	8
DOIs	https://doi.org/10.1109/TAC.2014.2380672
Publication status	Published - 2015

Keywords

Model predictive control
Constrained Systems
Impulsive systems

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10.1109/TAC.2014.2380672

http://eprints.imtlucca.it/1448/1/TR2012-01.pdf

Pantelis Sopasakis
- P.Sopasakisqub.acuk
- School of Electronics, Electrical Engineering and Computer Science - Lecturer
- Energy Power and Intelligent Control
Person: Academic

Cite this

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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 technical note, 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.",

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AU - Sopasakis, Pantelis

AU - Patrinos, Panagiotis

AU - Sarimveis, Haralambos

AU - Bemporad, Alberto

PY - 2015

Y1 - 2015

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AB - 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 technical note, 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.

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KW - Constrained Systems

KW - Impulsive systems

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JF - IEEE Transactions on Automatic Control

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Model predictive control for linear impulsive systems

Abstract

Keywords

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Pantelis Sopasakis

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