Fast implementation of model predictive control with guaranteed performance

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)

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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.

Item Type:	Book Section
Identification Number:	https://doi.org/10.1109/CDC.2011.6161334
Additional Information:	50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC), held in Orlando USA), December 12-15, 2011
Uncontrolled Keywords:	Aerospace electronics; Approximation algorithms; Function approximation; Optimization; Polynomials; Trajectory
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Research Area:	Computer Science and Applications
Depositing User:	Ms T. Iannizzi
Date Deposited:	09 Jan 2015 11:26
Last Modified:	09 Jan 2015 11:26
URI:	http://eprints.imtlucca.it/id/eprint/2444

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