eprintid: 2470
rev_number: 8
eprint_status: archive
userid: 6
dir: disk0/00/00/24/70
datestamp: 2015-01-13 13:57:44
lastmod: 2015-01-13 14:35:23
status_changed: 2015-01-13 13:57:44
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: Bounding the parameters of block-structured nonlinear feedback systems
ispublished: pub
subjects: QA75
divisions: CSA
full_text_status: public
keywords: bounded uncertainty, LMI relaxation, block-structured nonlinear systems
abstract: In this paper, a procedure for set-membership identification of block-structured nonlinear feedback systems is presented. Nonlinear block parameter bounds are first computed by exploiting steady-state measurements. Then, given the uncertain description of the nonlinear block, bounds on the unmeasurable inner signal are computed. Finally, linear block parameter bounds are evaluated on the basis of output measurements and computed inner-signal bounds. The computation of both the nonlinear block parameters and the inner-signal bounds is formulated in terms of semialgebraic optimization and solved by means of suitable convex LMI relaxation techniques. The problem of linear block parameter evaluation is formulated in terms of a bounded errors-in-variables identification problem. 
date: 2013-01
date_type: published
publication: International Journal of Robust and Nonlinear Control 
volume: 23
number: 1
publisher: Wiley-Blackwell
pagerange: 33-47
id_number: 10.1002/rnc.1813
refereed: TRUE
issn: 1049-8923
official_url: http://dx.doi.org/10.1002/rnc.1813
citation:   Cerone, Vito and Piga, Dario and Regruto, Diego  Bounding the parameters of block-structured nonlinear feedback systems.  International Journal of Robust and Nonlinear Control , 23 (1).  pp. 33-47.  ISSN 1049-8923      (2013)  
document_url: http://eprints.imtlucca.it/2470/1/IJRNLL2013PreprintPiga.pdf