eprintid: 560
rev_number: 9
eprint_status: archive
userid: 7
dir: disk0/00/00/05/60
datestamp: 2011-07-27 09:02:33
lastmod: 2011-08-04 07:29:08
status_changed: 2011-07-27 09:02:33
type: book_section
metadata_visibility: show
contact_email: alberto.bemporad@imtlucca.it
item_issues_count: 0
creators_name: Bemporad, Alberto
creators_id: alberto.bemporad@imtlucca.it
title: Multiparametric nonlinear integer programming and explicit quantized optimal control
ispublished: pub
subjects: QA
subjects: QA75
subjects: TJ
divisions: CSA
full_text_status: none
keywords: cost function; nonlinear integer programming; optimal control; optimization variables; state vector; integer programming; nonlinear programming; optimal control; quantisation (signal)
abstract: This paper deals with multiparametric nonlinear integer programming problems where the optimization variables belong to a finite set and where the cost function and the constraints depend in an arbitrary nonlinear fashion on the optimization variables and in a linear fashion on the parameters. We examine the main theoretical properties of the optimizer and of the optimum as a function of the parameters, and propose a solution algorithm. The methodology is employed to investigate properties of quantized optimal control laws and optimal performance, and to obtain their explicit representation as a function of the state vector.
date: 2003-12
date_type: published
publication: Proc. 42th IEEE Conf. on Decision and Control
volume: 3
publisher: IEEE
place_of_pub: Maui, Hawaii USA, December 2003
pagerange: 3167-3172
event_dates: Maui, Hawaii, USA
id_number: 10.1109/CDC.2003.1273110
refereed: TRUE
isbn: 0-7803-7924-1 
book_title: Decision and Control Conference
official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1273110&isnumber=28482
citation:   Bemporad, Alberto  Multiparametric nonlinear integer programming and explicit quantized optimal control.   In:  Decision and Control Conference.   IEEE, Maui, Hawaii USA, December 2003, pp. 3167-3172.  ISBN 0-7803-7924-1       (2003)