TY - CHAP N2 - 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. N1 - 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC), held in Orlando USA), December 12-15, 2011 TI - Fast implementation of model predictive control with guaranteed performance A1 - Canale, Massimo A1 - Cerone, Vito A1 - Piga, Dario A1 - Regruto, Diego Y1 - 2011/12// KW - Aerospace electronics; Approximation algorithms; Function approximation; Optimization; Polynomials; Trajectory UR - http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6161334&isnumber=6159299 EP - 3380 PB - IEEE SP - 3375 AV - public SN - 978-1-61284-799-3 T2 - Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC) ID - eprints2444 ER -