relation: http://eprints.imtlucca.it/1841/ title: MPC for Sampled-Data Linear Systems: guaranteeing continuous-time positive invariance creator: Sopasakis, Pantelis creator: Patrinos, Panagiotis creator: Sarimveis, Haralambos subject: QA Mathematics subject: QA75 Electronic computers. Computer science subject: TA Engineering (General). Civil engineering (General) subject: TK Electrical engineering. Electronics Nuclear engineering description: 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. publisher: IEEE date: 2014-04 type: Article type: PeerReviewed identifier: Sopasakis, Pantelis and Patrinos, Panagiotis and Sarimveis, Haralambos MPC for Sampled-Data Linear Systems: guaranteeing continuous-time positive invariance. IEEE Transactions on Automatic Control , 59 (4). pp. 1088-1093. ISSN 0018-9286 (2014) relation: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6632877&isnumber=6776438 relation: 10.1109/TAC.2013.2285786