relation: http://eprints.imtlucca.it/2475/
title: Approximation of model predictive control laws for polynomial systems
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 polynomial systems is introduced by approximating the optimal control law with a piecewise constant function defined over a hyper-cube partition of the system state space. Such a state-space partition is computed in order to guarantee stability, an a priori fixed trajectory error as well as input and state constraints fulfilment. 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: Wiley-Blackwell
date: 2014-09
type: Article
type: PeerReviewed
identifier:   Canale, Massimo and Cerone, Vito and Piga, Dario and Regruto, Diego  Approximation of model predictive control laws for polynomial systems.  Asian Journal of Control , 16 (5).  pp. 1425-1436.  ISSN 1561-8625      (2014)  
relation: http://dx.doi.org/10.1002/asjc.863
relation: 10.1002/asjc.863