eprintid: 584
rev_number: 10
eprint_status: archive
userid: 7
dir: disk0/00/00/05/84
datestamp: 2011-07-27 09:09:02
lastmod: 2014-07-17 12:46:56
status_changed: 2011-07-27 09:09:02
type: book_section
metadata_visibility: show
item_issues_count: 0
creators_name: Bemporad, Alberto
creators_name: Heemels, W.P.M.H.
creators_name: De Schutter, Bart
creators_id: alberto.bemporad@imtlucca.it
creators_id: 
creators_id: 
title: On hybrid systems and closed-loop MPC systems
ispublished: pub
subjects: QA
subjects: QA75
subjects: TJ
divisions: CSA
full_text_status: none
keywords: bounded system variables; closed-loop system; equivalences; hybrid plants; hybrid systems; input variables; linear complementarity systems; linear constraints;linear model;linear plants; max-min-plus-scaling systems; mixed logical-dynamical systems; model predictive control; piecewise affine systems; robust stability; safety analysis; state variables; closed loop systems; predictive control; safety; stability
abstract: The following five classes of hybrid systems were proved by W.P.M.H. Heemels et al. (2001) to be equivalent: linear complementarity (LC) systems, extended linear complementarity (ELC) systems, mixed logical-dynamical (MLD) systems, piecewise affine (PWA) systems and max-min-plus-scaling (MMPS) systems. Some of the equivalences were obtained under additional assumptions, such as boundedness of system variables. In this paper, for closed-loop linear or hybrid plants with model-predictive control (MPC) based on a linear model and fulfilling linear constraints on the input and state variables, we provide a simple and direct proof that the closed-loop system (cl-MPC) is a subclass of any of the former five classes of hybrid systems. This result opens up the use of tools developed for hybrid systems (such as stability, robust stability and safety analysis tools) to study the closed-loop properties of MPC
date: 2001
date_type: published
publication: Proc. 40th IEEE Conf. on Decision and Control
volume: 2
publisher: IEEE
place_of_pub: Orlando, Florida USA, December 2001
pagerange: 1645-1650
event_dates: Orlando, Florida
id_number: 10.1109/.2001.981137
refereed: TRUE
isbn: 0-7803-7061-9 
book_title: Decision and Control Conference
official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=981137&isnumber=21128
citation:   Bemporad, Alberto and Heemels, W.P.M.H. and De Schutter, Bart  On hybrid systems and closed-loop MPC systems.   In:  Decision and Control Conference.   IEEE, Orlando, Florida USA, December 2001, pp. 1645-1650.  ISBN 0-7803-7061-9       (2001)