Title :
Model Predictive Control for Linear Impulsive Systems
Author :
Sopasakis, Pantelis ; Patrinos, Panagiotis ; Sarimveis, Haralambos ; Bemporad, Alberto
Author_Institution :
Sch. of Chem. Eng., Nat. Tech. Univ. of Athens, Athens, Greece
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).
Keywords :
asymptotic stability; control system synthesis; linear systems; predictive control; MPC; asymptotically stable model predictive controller design; drug administration; equilibrium points; linear impulsive control systems; system trajectory; target-sets; Asymptotic stability; Drugs; Mathematical model; Optimal control; Stability analysis; Standards; Trajectory;
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2012.6426243