eprintid: 730
rev_number: 12
eprint_status: archive
userid: 7
dir: disk0/00/00/07/30
datestamp: 2011-07-28 09:52:00
lastmod: 2012-07-06 12:30:20
status_changed: 2011-07-28 09:52:00
type: article
metadata_visibility: show
item_issues_count: 0
creators_name: Bemporad, Alberto
creators_name: Oliveri, Alberto
creators_name: Poggi, Tomaso
creators_name: Storace, Marco
creators_id: alberto.bemporad@imtlucca.it
creators_id: 
creators_id: 
creators_id: 
title: Ultra-fast stabilizing model predictive control via canonical piecewise affine approximations
ispublished: pub
subjects: QA
subjects: QA75
subjects: TJ
divisions: CSA
full_text_status: none
keywords: Aerospace electronics; Function approximation; Optimal control; Silicon; Softening; Vectors 
abstract: 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.
date: 2011-12
date_type: published
publication: IEEE Transactions on Automatic Control 
volume: 56
number: 12
publisher: IEEE 
pagerange: 2883-2897 
id_number: 10.1109/TAC.2011.2141410
refereed: TRUE
issn: 0018-9286
official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5746505&isnumber=4601496
citation:   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)