eprintid: 482
rev_number: 17
eprint_status: archive
userid: 7
dir: disk0/00/00/04/82
datestamp: 2011-07-27 09:16:35
lastmod: 2014-07-17 12:22:57
status_changed: 2011-07-27 09:16:35
type: article
metadata_visibility: show
item_issues_count: 0
creators_name: Pistikopoulos, Efstratios N.
creators_name: Dua, Vivek
creators_name: Bozinis, Nikolaos A.
creators_name: Bemporad, Alberto
creators_name: Morari, Manfred
creators_id: 
creators_id: 
creators_id: 
creators_id: alberto.bemporad@imtlucca.it
creators_id: 
title: On-line optimization via off-line parametric optimization tools
ispublished: pub
subjects: QA
subjects: QA75
divisions: CSA
full_text_status: none
keywords: Real-time optimization; Model predictive control; Multi-parametric quadratic programming
abstract: In this paper, on-line optimization problems with a quadratic performance criteria and linear constraints are formulated as multi-parametric quadratic programs, where the input and state variables, corresponding to a plant, are treated as optimization variables and parameters, respectively. The solution of such problems is given by (i) a complete set of profiles of all the optimal inputs to the plant as a function of state variables, and (ii) the regions in the space of state variables where these functions remain optimal. It is shown that these profiles are linear and the corresponding regions are described by linear inequalities. An algorithm for obtaining these profiles and corresponding regions of optimality is also presented. The key feature of the proposed approach is that the on-line optimization problem is solved off-line via parametric programming techniques, hence, at each time interval (i) no optimization solver is called on-line, (ii) simple function evaluations are required for obtaining the optimal inputs to the plant for the current state of the plant.
date: 2000
date_type: published
publication: Computers and Chemical Engineering
volume: 24
number: 2-7
publisher: Elsevier
pagerange: 183-188
id_number: 10.1016/S0098-1354(00)00510-X
refereed: TRUE
issn: 0098-1354
official_url: http://www.sciencedirect.com/science/article/pii/S009813540000510X
citation:   Pistikopoulos, Efstratios N. and Dua, Vivek and Bozinis, Nikolaos A. and Bemporad, Alberto and Morari, Manfred  On-line optimization via off-line parametric optimization tools.  Computers and Chemical Engineering, 24 (2-7).  pp. 183-188.  ISSN 0098-1354      (2000)