eprintid: 737
rev_number: 11
eprint_status: archive
userid: 7
dir: disk0/00/00/07/37
datestamp: 2011-07-29 10:49:00
lastmod: 2011-08-04 07:29:05
status_changed: 2011-07-29 10:49:00
type: book_section
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: Synthesis of stabilizing model predictive controllers via canonical piecewise affine approximations
ispublished: pub
subjects: QA
subjects: QA75
subjects: TJ
divisions: CSA
full_text_status: none
keywords: Lyapunov functions; asymptotic stability; canonical piecewise affine approximation; closed loop system; controller synthesis; linear MPC controllers; model predictive controller stabilization; Lyapunov methods; approximation theory; asymptotic stability; closed loop systems; control system synthesis; linear systems; piecewise linear techniques; predictive control; sampling methods
abstract: 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.
date: 2010-12
date_type: published
publisher: IEEE
place_of_pub: Hilton Atlanta Hotel, Atlanta, December 15-17, 2010
pagerange: 5296 -5301
event_title: Decision and Control (CDC), 2010 49th IEEE Conference on
id_number: 10.1109/CDC.2010.5717868
refereed: TRUE
isbn: 978-1-4244-7745-6 
book_title: Decision and Control Conference
official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5717868&isnumber=5716927
funders: This work was supported by the European Commission under project FP7-INFSO-ICT-248858 “MOBY-DIC – Model-based synthesis of digital electronic circuits for embedded control”
projects: under project FP7-INFSO-ICT-248858 “MOBY-DIC – Model-based synthesis of digital electronic circuits for embedded control”
citation:   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)