eprintid: 2466
rev_number: 7
eprint_status: archive
userid: 6
dir: disk0/00/00/24/66
datestamp: 2015-01-12 14:46:07
lastmod: 2015-01-12 14:46:07
status_changed: 2015-01-12 14:46:07
type: article
metadata_visibility: show
creators_name: Cerone, Vito
creators_name: Piga, Dario
creators_name: Regruto, Diego
creators_id: 
creators_id: dario.piga@imtlucca.it
creators_id: 
title: Enforcing stability constraints in set-membership identification of linear dynamic systems 
ispublished: pub
subjects: QA75
divisions: CSA
full_text_status: public
keywords: Error-in-variables; Linear systems; LMI relaxation;
Set-membership identification; Stability constraints
abstract: In this paper, we consider the identification of linear systems, a priori known to be stable, from input–output data corrupted by bounded noise. By taking explicitly into account a priori information on system stability, a formal definition of the feasible parameter set for a stable linear system is provided. On the basis of a detailed analysis of the geometrical structure of the feasible set, convex relaxation techniques are presented to solve nonconvex optimization problems arising in the computation of parameter uncertainty intervals. Properties of the computed relaxed bounds are discussed. A simulated example is presented to show the effectiveness of the proposed technique. 
date: 2011-11
date_type: published
publication: Automatica
volume: 47
number: 11
publisher: Elsevier 
pagerange: 2488 - 2494
id_number: 10.1016/j.automatica.2011.08.034
refereed: TRUE
issn: 0005-1098
official_url: http://www.sciencedirect.com/science/article/pii/S0005109811004067
citation:   Cerone, Vito and Piga, Dario and Regruto, Diego  Enforcing stability constraints in set-membership identification of linear dynamic systems.  Automatica, 47 (11).  2488 - 2494.  ISSN 0005-1098      (2011)  
document_url: http://eprints.imtlucca.it/2466/1/AutPigaPreprint2011.pdf