Model Predictive Control for Linear Impulsive Systems

Pantelis Sopasakis, Panagiotis Patrinos, Haralambos Sarimveis, Alberto Bemporad
2012 2012 IEEE 51st IEEE Conference on Decision and Control (CDC)  
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 the system cannot be stabilized to arbitrary desired points which imposes a significant restriction towards their utilization in various applications such as drug administration. In this paper, we study the equilibrium of Linear Impulsive Systems in light of target-sets instead of the standard equilibrium point
more » ... oach. We properly extend the notion of invariant sets which is crucial in designing asymptotically stable Model Predictive Controllers (MPC).
doi:10.1109/cdc.2012.6426243 dblp:conf/cdc/SopasakisPSB12 fatcat:s5dnqiqz6ndmvniv66wpko2yzm