%L eprints1841
%I IEEE 
%X 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.
%K Continuous invariance; model predictive control; polytopic overapproximation; sampled data

%D 2014
%A Pantelis Sopasakis
%A Panagiotis Patrinos
%A Haralambos Sarimveis
%V 59
%N 4
%T MPC for Sampled-Data Linear Systems: guaranteeing continuous-time positive invariance
%R 10.1109/TAC.2013.2285786
%J IEEE Transactions on Automatic Control 
%P 1088-1093