eprintid: 540
rev_number: 11
eprint_status: archive
userid: 7
dir: disk0/00/00/05/40
datestamp: 2011-07-27 08:41:35
lastmod: 2011-08-05 13:35:14
status_changed: 2011-07-27 08:41:35
type: book_section
metadata_visibility: show
contact_email: alberto.bemporad@imtlucca.it
item_issues_count: 0
creators_name: Alessio, Alessandro
creators_name: Bemporad, Alberto
creators_id: 
creators_id: alberto.bemporad@imtlucca.it
title: Feasible mode enumeration and cost comparison for explicit quadratic model predictive control of hybrid systems
ispublished: pub
subjects: HB
subjects: QA75
divisions: CSA
full_text_status: none
abstract: For hybrid systems in piecewise affine (PWA) form, this paper presents a new methodology for computing the solution, defined over a set of (possibly overlapping) polyhedra, of the finite-time constrained optimal control problem based on quadratic costs. First, feasible mode sequences are determined via backward reachability analysis, and multiparametric quadratic programming is employed to determine candidate polyhedral regions of the solution and the corresponding value functions and optimal control gains. Then, the value functions associated with overlapping regions are compared in order to discard those regions whose associated control law is never optimal. The comparison problem is, in general, nonconvex and is tackled here as a DC (Difference of Convex functions) programming problem.
date: 2006
date_type: published
publication: 2nd IFAC Conference on Analysis and Design of Hybrid Systems
publisher: IFAQ
pagerange: 302-308
event_dates: Alghero, Italy
id_number: 10.3182/20060607-3-IT-3902.00057
refereed: TRUE
isbn: 978-3-902661-06-7
book_title: 2nd IFAC Conference on Analysis and Design of Hybrid Systems, 2006
official_url: ttp://www.ifac-papersonline.net/Detailed/30178.html
citation:   Alessio, Alessandro and Bemporad, Alberto  Feasible mode enumeration and cost comparison for explicit quadratic model predictive control of hybrid systems.   In:  2nd IFAC Conference on Analysis and Design of Hybrid Systems, 2006.   IFAQ, pp. 302-308.  ISBN 978-3-902661-06-7      (2006)