relation: http://eprints.imtlucca.it/2444/ title: Fast implementation of model predictive control with guaranteed performance creator: Canale, Massimo creator: Cerone, Vito creator: Piga, Dario creator: Regruto, Diego subject: QA75 Electronic computers. Computer science description: A fast implementation of a given predictive controller for nonlinear systems is introduced through a piecewise constant approximate function defined over an hyper-cube partition of the system state space. Such a state partition is obtained by maximizing the hyper-cube volumes in order to guarantee, besides stability, an a priori fixed trajectory error as well as input and state constraints satisfaction. The presented approximation procedure is achieved by solving a set of nonconvex polynomial optimization problems, whose approximate solutions are computed by means of semidefinite relaxation techniques for semialgebraic problems. publisher: IEEE date: 2011-12 type: Book Section type: PeerReviewed format: application/pdf language: en identifier: http://eprints.imtlucca.it/2444/1/CDC2011Preprint_Piga.pdf identifier: Canale, Massimo and Cerone, Vito and Piga, Dario and Regruto, Diego Fast implementation of model predictive control with guaranteed performance. In: Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC). IEEE, pp. 3375-3380. ISBN 978-1-61284-799-3 (2011) relation: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6161334&isnumber=6159299 relation: 10.1109/CDC.2011.6161334