relation: http://eprints.imtlucca.it/730/
title: Ultra-fast stabilizing model predictive control 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 investigates the use of canonical piecewise affine (PWA) functions for approximation and fast implementation of linear MPC controllers. The control law is approximated in an optimal way over a regular simplicial partition of a given set of states of interest. The stability properties of the resulting closed-loop system are analyzed by constructing a suitable PWA Lyapunov function. The main advantage of the proposed approach to the implementation of MPC controllers 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: 2011-12
type: Article
type: PeerReviewed
identifier:   Bemporad, Alberto and Oliveri, Alberto and Poggi, Tomaso and Storace, Marco  Ultra-fast stabilizing model predictive control via canonical piecewise affine approximations.  IEEE Transactions on Automatic Control , 56 (12).  2883-2897 .  ISSN 0018-9286      (2011)  
relation: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5746505&isnumber=4601496
relation: 10.1109/TAC.2011.2141410