@incollection{eprints2444, author = {Massimo Canale and Vito Cerone and Dario Piga and Diego Regruto}, publisher = {IEEE}, note = {50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC), held in Orlando USA), December 12-15, 2011}, booktitle = {Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC)}, pages = {3375--3380}, month = {December}, year = {2011}, title = {Fast implementation of model predictive control with guaranteed performance}, keywords = {Aerospace electronics; Approximation algorithms; Function approximation; Optimization; Polynomials; Trajectory}, abstract = {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.}, url = {http://eprints.imtlucca.it/2444/} }