eprintid: 2224
rev_number: 6
eprint_status: archive
userid: 6
dir: disk0/00/00/22/24
datestamp: 2014-07-01 10:26:51
lastmod: 2015-01-13 12:21:40
status_changed: 2014-07-01 10:26:51
type: article
metadata_visibility: show
creators_name: Rubagotti, Matteo
creators_name: Barcelli, Davide
creators_name: Bemporad, Alberto
creators_id: 
creators_id: 
creators_id: alberto.bemporad@imtlucca.it
title: Robust explicit model predictive control via regular piecewise-affine approximation
ispublished: pub
subjects: TJ
divisions: CSA
full_text_status: none
keywords: Model predictive control, uncertain systems, piecewise\-affine functions
abstract: This paper proposes an explicit model predictive control design approach for regulation of linear time-invariant systems subject to both state and control constraints, in the presence of additive disturbances. The proposed control law is implemented as a piecewise-affine function defined on a regular simplicial partition, and has two main positive features. Firstly, the regularity of the simplicial partition allows one to efficiently implement the control law on digital circuits, thus achieving extremely fast computation times. Moreover, the asymptotic stability (or the convergence to a set including the origin) of the closed-loop system can be enforced a-priori, rather than checked a-posteriori via Lyapunov analysis.
date: 2014
date_type: published
publication: International Journal of Control 
volume: 87
number: 12
publisher: Taylor & Francis
pagerange: 2583-2593
id_number: doi:10.1080/00207179.2014.935958
refereed: TRUE
issn: 0020-7179
official_url: http://dx.doi.org/10.1080/00207179.2014.935958
citation:   Rubagotti, Matteo and Barcelli, Davide and Bemporad, Alberto  Robust explicit model predictive control via regular piecewise-affine approximation.  International Journal of Control , 87 (12).  pp. 2583-2593.  ISSN 0020-7179      (2014)