relation: http://eprints.imtlucca.it/737/
title: Synthesis of stabilizing model predictive controllers via canonical piecewise affine approximations
creator: Bemporad, Alberto
creator: Oliveri, Alberto
creator: Poggi, Tomaso
creator: Storace, Marco
subject: QA Mathematics
subject: QA75 Electronic computers. Computer science
subject: TJ Mechanical engineering and machinery
description: This paper proposes the use of canonical piecewise affine (PWA) functions for the approximation of linear MPC controllers over a regular simplicial partition of a given set of states of interest. Analysis tools based on the construction of PWA Lyapunov functions are provided for certifying the asymptotic stability of the resulting closed-loop system. The main advantage of the proposed controller synthesis approach is that the resulting stabilizing approximate MPC controller can be implemented on chip with sampling times in the order of tens of nanoseconds.
publisher: IEEE
date: 2010-12
type: Book Section
type: PeerReviewed
identifier:   Bemporad, Alberto and Oliveri, Alberto and Poggi, Tomaso and Storace, Marco  Synthesis of stabilizing model predictive controllers via canonical piecewise affine approximations.   In:  Decision and Control Conference.   IEEE, Hilton Atlanta Hotel, Atlanta, December 15-17, 2010, 5296 -5301.  ISBN 978-1-4244-7745-6       (2010)  
relation: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5717868&isnumber=5716927
relation: 10.1109/CDC.2010.5717868