Model predictive control for linear impulsive systems

Pantelis Sopasakis, Panagiotis Patrinos, Haralambos Sarimveis, Alberto Bemporad

Research output: Contribution to journalArticle

22 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 languageEnglish
Pages (from-to)2277-2282
JournalIEEE Transactions on Automatic Control
Volume60
Issue number8
DOIs
Publication statusPublished - 2015

Keywords

  • Model predictive control
  • Constrained Systems
  • Impulsive systems

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