eprintid: 438
rev_number: 16
eprint_status: archive
userid: 7
dir: disk0/00/00/04/38
datestamp: 2011-07-08 12:40:57
lastmod: 2012-03-02 15:23:59
status_changed: 2011-07-27 08:30:00
type: article
metadata_visibility: show
contact_email: alberto.bemporad@imtlucca.it
item_issues_count: 0
creators_name: Di Cairano, Stefano
creators_name: Bemporad, Alberto
creators_id: 
creators_id: alberto.bemporad@imtlucca.it
title: Equivalent piecewise affine models of linear hybrid automata
ispublished: pub
subjects: QA75
divisions: CSA
full_text_status: none
keywords: continuous-time PWA model; deterministic model; linear hybrid automata; piecewise affine system; uncertainty modeling; automata theory; continuous time systems 
abstract: In this technical note we examine the relationship between linear hybrid automata (LHA) and piecewise affine (PWA) systems. While a LHA is an autonomous non-deterministic model, a PWA is a deterministic model with inputs. Through the key idea of modeling the uncertainty associated with LHA transitions as input disturbances in a PWA model, by extending continuous-time PWA models to include the dynamics of discrete states and resets we show in a constructive way that a LHA can be equivalently represented as a PWA system, where equivalent means that the two systems generate the same trajectories. Besides filling in a missing theoretical link between the LHA modelling framework and the PWA modelling framework, the result has the practical advantage of enabling the use of several existing control theoretical tools developed for PWA models to a wider class of hybrid systems.
date: 2010
date_type: published
publication: IEEE Transactions on Automatic Control 
volume: 55
number: 2
publisher: IEEE 
pagerange: 498-502
id_number: 10.1109/TAC.2009.2037463
refereed: TRUE
isbn: 1-4244-0171-2
issn: 0018-9286
book_title: Proceedings of the 45th IEEE Conference on Decision & Control
official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5378455&isnumber=5406222
citation:   Di Cairano, Stefano and Bemporad, Alberto  Equivalent piecewise affine models of linear hybrid automata.  IEEE Transactions on Automatic Control , 55 (2).  pp. 498-502.  ISSN 0018-9286      (2010)