TY - JOUR VL - 60 Y1 - 2015/08// IS - 8 JF - IEEE Transactions on Automatic Control A1 - Sopasakis, Pantelis A1 - Patrinos, Panagiotis A1 - Sarimveis, Haralambos A1 - Bemporad, Alberto PB - IEEE SP - 2277 ID - eprints2681 EP - 2282 TI - Model Predictive Control for Linear Impulsive Systems AV - none KW - Impulsive systems KW - Invariance KW - Stability KW - Model predictive control KW - Bolous KW - Drug administration UR - http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6985596&newsearch=true&queryText=Model%20Predictive%20Control%20for%20Linear%20Impulsive%20Systems SN - 0018-9286 N2 - 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. ER -