TY  - JOUR
VL  - 59
EP  - 1093
PB  - IEEE 
SP  - 1088
A1  - Sopasakis, Pantelis
A1  - Patrinos, Panagiotis
A1  - Sarimveis, Haralambos
AV  - none
TI  - MPC for Sampled-Data Linear Systems: guaranteeing continuous-time positive invariance
ID  - eprints1841
IS  - 4
UR  - http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6632877&isnumber=6776438
KW  - Continuous invariance; model predictive control; polytopic overapproximation; sampled data

SN  - 0018-9286
Y1  - 2014/04//
N2  - Model Predictive Controllers (MPC) designed for sampled-data systems can be shown to violate the constraints in continuous time. A reformulation of the initial problem will guarantee constraint satisfaction throughout the intersample period. Polytopic inclusions of the continuous trajectory are used in this paper to establish additional constraints leading to a linearly constrained quadratic optimization problem. Continuous time asymptotic stability and continuous-time positive invariance are proven for the reformulated problem.
JF  - IEEE Transactions on Automatic Control 
ER  -