eprintid: 459
rev_number: 13
eprint_status: archive
userid: 7
dir: disk0/00/00/04/59
datestamp: 2011-07-27 09:05:32
lastmod: 2011-08-05 14:09:02
status_changed: 2011-07-27 09:05:32
type: article
metadata_visibility: show
contact_email: alberto.bemporad@imtlucca.it
item_issues_count: 0
creators_name: Tondel, Petter
creators_name: Johansen, Tor Arne
creators_name: Bemporad, Alberto
creators_id: 
creators_id: 
creators_id: alberto.bemporad@imtlucca.it
title: An algorithm for multi-parametric quadratic programming and explicit MPC solutions
ispublished: pub
subjects: QA75
subjects: TJ
divisions: CSA
full_text_status: none
keywords: Linear quadratic regulators; Piecewise linear controllers; Constraints; Predictive control
abstract: Explicit solutions to constrained linear model predictive control problems can be obtained by solving multi-parametric quadratic programs (mp-QP) where the parameters are the components of the state vector. We study the properties of the polyhedral partition of the state space induced by the multi-parametric piecewise affine solution and propose a new mp-QP solver. Compared to existing algorithms, our approach adopts a different exploration strategy for subdividing the parameter space, avoiding unnecessary partitioning and QP problem solving, with a significant improvement of efficiency.
date: 2003
date_type: published
publication: Automatica
volume: 39
number: 3
publisher: Elsevier
pagerange: 489-497
id_number: 10.1016/S0005-1098(02)00250-9
refereed: TRUE
issn: 005-1098
official_url: http://www.sciencedirect.com/science/article/pii/S0005109802002509
citation:   Tondel, Petter and Johansen, Tor Arne and Bemporad, Alberto  An algorithm for multi-parametric quadratic programming and explicit MPC solutions.  Automatica, 39 (3).  pp. 489-497.  ISSN 005-1098      (2003)