eprintid: 3636
rev_number: 10
eprint_status: archive
userid: 69
dir: disk0/00/00/36/36
datestamp: 2017-01-24 13:10:56
lastmod: 2017-01-24 13:16:05
status_changed: 2017-01-24 13:10:56
type: article
metadata_visibility: show
creators_name: Rubagotti, Matteo
creators_name: Zaccarian, Luca
creators_name: Bemporad, Alberto
creators_id: 
creators_id: 
creators_id: alberto.bemporad@imtlucca.it
title: A Lyapunov method for stability analysis of piecewise-affine systems over non-invariant domains
ispublished: pub
subjects: QA75
divisions: CSA
full_text_status: restricted
abstract: This paper analyses stability of discrete-time piecewise-affine systems, defined on possibly non-invariant domains, taking into account the possible presence of multiple dynamics in each of the polytopic regions of the system. An algorithm based on linear programming is proposed, in order to prove exponential stability of the origin and to find a positively invariant estimate of its region of attraction. The results are based on the definition of a piecewise-affine Lyapunov function, which is in general discontinuous on the boundaries of the regions. The proposed method is proven to lead to feasible solutions in a broader range of cases as compared to a previously proposed approach. Two numerical examples are shown, among which a case where the proposed method is applied to a closed-loop system, to which model predictive control was applied without a-priori guarantee of stability.
date: 2016
date_type: published
publication: International Journal of Control
volume: 89
number: 5
pagerange: 950-959
id_number: doi:10.1080/00207179.2015.1108456
refereed: TRUE
issn: 0020-7179
official_url: http://doi.org/10.1080/00207179.2015.1108456
citation:   Rubagotti, Matteo and Zaccarian, Luca and Bemporad, Alberto  A Lyapunov method for stability analysis of piecewise-affine systems over non-invariant domains.  International Journal of Control, 89 (5).  pp. 950-959.  ISSN 0020-7179      (2016)  
document_url: http://eprints.imtlucca.it/3636/1/ijc-pwa-stability.pdf