eprintid: 586
rev_number: 10
eprint_status: archive
userid: 7
dir: disk0/00/00/05/86
datestamp: 2011-07-27 09:08:58
lastmod: 2014-07-17 12:46:26
status_changed: 2011-07-27 09:08:58
type: book_section
metadata_visibility: show
item_issues_count: 0
creators_name: Bemporad, Alberto
creators_name: Filippi, Carlo
creators_id: alberto.bemporad@imtlucca.it
creators_id: 
title: Suboptimal explicit MPC via approximate multiparametric quadratic programming
ispublished: pub
subjects: QA
subjects: QA75
subjects: TJ
divisions: CSA
full_text_status: none
keywords: approximate multiparametric quadratic programming; approximate solutions; degree of approximation; discrete-time linear time invariant system; linear constraints; optimization problem; parameter space; piecewise affine function; polyhedral cells; suboptimal explicit model predictive control; discrete time systems; linear systems; predictive control; quadratic programming; vectors
abstract: Algorithms for solving multiparametric quadratic programming (mp-QP) were proposed in Bemporad et al. (2001) and Tondel et al. (2001) for computing explicit model predictive control (MPC) laws. The reason for this interest is that the solution to mp-QP is a piecewise affine function of the state vector and thus it is easily implementable on-line. The main drawback of solving mp-QP exactly is that whenever the number of linear constraints involved in the optimization problem increases, the number of polyhedral cells in the piecewise affine partition of the parameter space may increase exponentially. We address the problem of finding approximate solutions to mp-QP, where the degree of approximation is arbitrary and allows a trade off between optimality and a smaller number of cells in the piecewise affine solution
date: 2001
date_type: published
publication: Proc. 40th IEEE Conf. on Decision and Control
volume: 5
publisher: IEEE
place_of_pub: Orlando, Florida USA, December 2001
pagerange: 4851-4856
event_dates: Orlando, Florida
id_number: 10.1109/.2001.980975
refereed: TRUE
isbn: 0-7803-7061-9 
book_title: Decision and Control Conference
official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=980975&isnumber=21129
citation:   Bemporad, Alberto and Filippi, Carlo  Suboptimal explicit MPC via approximate multiparametric quadratic programming.   In:  Decision and Control Conference.   IEEE, Orlando, Florida USA, December 2001, pp. 4851-4856.  ISBN 0-7803-7061-9       (2001)