eprintid: 569
rev_number: 9
eprint_status: archive
userid: 7
dir: disk0/00/00/05/69
datestamp: 2011-07-27 09:16:33
lastmod: 2014-07-17 12:21:08
status_changed: 2011-07-27 09:16:33
type: book_section
metadata_visibility: show
item_issues_count: 0
creators_name: Bemporad, Alberto
creators_name: Morari, Manfred
creators_name: Dua, Vivek
creators_name: Pistikopoulos, Efstratios N.
creators_id: alberto.bemporad@imtlucca.it
creators_id: 
creators_id: 
creators_id: 
title: The explicit solution of model predictive control via multiparametric quadratic programming 
ispublished: pub
subjects: QA75
subjects: TJ
divisions: CSA
full_text_status: none
keywords: computational complexity; discrete-time systems; linear time-invariant systems; model predictive control; multiparametric quadratic programming; optimization; stability; state feedback; computational complexity; control system analysis computing; discrete time systems; linear systems; predictive control; quadratic programming; stability; state feedback
abstract: The control based on online optimization, popularly known as model predictive control (MPC), has long been recognized as the winning alternative for constrained systems. The main limitation of MPC is, however, its online computational complexity. For discrete-time linear time-invariant systems with constraints on inputs and states, we develop an algorithm to determine explicitly the state feedback control law associated with MPC, and show that it is piecewise linear and continuous. The controller inherits all the stability and performance properties of MPC, but the online computation is reduced to a simple linear function evaluation instead of the expensive quadratic program. The new technique is expected to enlarge the scope of applicability of MPC to small-size/fast-sampling applications which cannot be covered satisfactorily with anti-windup schemes
date: 2000
date_type: published
publication: American Control Conference
volume: 2
publisher: IEEE
place_of_pub: Chicago, Illinois June 2000
pagerange: 872-876
event_dates: Chicago, IL
id_number: 10.1109/ACC.2000.876624
refereed: TRUE
isbn: 0-7803-5519-9 
book_title: American Control Conference
official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=876624&isnumber=18973
citation:   Bemporad, Alberto and Morari, Manfred and Dua, Vivek and Pistikopoulos, Efstratios N.  The explicit solution of model predictive control via multiparametric quadratic programming.   In:  American Control Conference.   IEEE, Chicago, Illinois June 2000, pp. 872-876.  ISBN 0-7803-5519-9       (2000)