Sopasakis, Pantelis and Patrinos, Panagiotis and Sarimveis, Haralambos and Bemporad, Alberto
Model Predictive Control for Linear Impulsive Systems.
Technical Report
#01/2012
School of Chemical Engineering, NTU Athens
, Athens.
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 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 approach. We properly extend the notion
of invariant sets which is crucial in designing asymptotically stable Model Predictive Controllers (MPC).
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