@article{eprints1841,
          number = {4},
          volume = {59},
            year = {2014},
          author = {Pantelis Sopasakis and Panagiotis Patrinos and Haralambos Sarimveis},
         journal = {IEEE Transactions on Automatic Control },
           title = {MPC for Sampled-Data Linear Systems: guaranteeing continuous-time positive invariance},
           month = {April},
           pages = {1088--1093},
       publisher = {IEEE },
             url = {http://eprints.imtlucca.it/1841/},
        abstract = {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.},
        keywords = {Continuous invariance; model predictive control; polytopic overapproximation; sampled data
}
}