eprintid: 447
rev_number: 11
eprint_status: archive
userid: 7
dir: disk0/00/00/04/47
datestamp: 2011-07-27 09:18:01
lastmod: 2014-07-16 14:20:22
status_changed: 2011-07-27 09:18:01
type: article
metadata_visibility: show
item_issues_count: 0
creators_name: Bemporad, Alberto
creators_name: Morari, Manfred
creators_id: alberto.bemporad@imtlucca.it
creators_id: 
title: Control of systems integrating logic, dynamics, and constraints
ispublished: pub
subjects: QA
subjects: QA75
divisions: CSA
full_text_status: none
keywords: Hybrid systems; Predictive control; Dynamic models; Binary logic systems; Boolean logic; Mixed-integer programming; Optimization problems
abstract: This paper proposes a framework for modeling and controlling systems described by interdependent physical laws, logic rules, and operating constraints, denoted as mixed logical dynamical (MLD) systems. These are described by linear dynamic equations subject to linear inequalities involving real and integer variables. MLD systems include linear hybrid systems, finite state machines, some classes of discrete event systems, constrained linear systems, and nonlinear systems which can be approximated by piecewise linear functions. A predictive control scheme is proposed which is able to stabilize MLD systems on desired reference trajectories while fulfilling operating constraints, and possibly take into account previous qualitative knowledge in the form of heuristic rules. Due to the presence of integer variables, the resulting on-line optimization procedures are solved through mixed integer quadratic programming (MIQP), for which efficient solvers have been recently developed. Some examples and a simulation case study on a complex gas supply system are reported.
date: 1999-03
date_type: published
publication: Automatica
volume: 35
number: 3
publisher: Elsevier
pagerange: 407-427
id_number: 10.1016/S0005-1098(98)00178-2
refereed: TRUE
issn: 0005-1098
official_url: http://www.sciencedirect.com/science/article/pii/S0005109898001782
citation:   Bemporad, Alberto and Morari, Manfred  Control of systems integrating logic, dynamics, and constraints.  Automatica, 35 (3).  pp. 407-427.  ISSN 0005-1098      (1999)