eprintid: 736
rev_number: 14
eprint_status: archive
userid: 7
dir: disk0/00/00/07/36
datestamp: 2011-07-29 10:52:30
lastmod: 2011-08-05 12:20:39
status_changed: 2011-07-29 10:52:30
type: book_section
metadata_visibility: show
item_issues_count: 0
creators_name: Barcelli, Davide
creators_name: Bemporad, Alberto
creators_name: Ripaccioli, Giulio
creators_id: 
creators_id: alberto.bemporad@imtlucca.it
creators_id: 
title: Hierarchical multi-rate control design for constrained linear systems
ispublished: pub
subjects: QA75
subjects: TJ
divisions: CSA
full_text_status: none
keywords: closed-loop stability; constrained linear systems; hierarchical multirate control design; higher-level controller commands; linear controller; open-loop process; reference signals; sampling frequency; sampling rates; closed loop systems; control system synthesis; hierarchical systems; linear systems; open loop systems ;stability
abstract: This paper proposes a hierarchical multi-rate control design approach to linear systems subject to linear constraints on input and output variables. At the lower level, a linear controller stabilizes the open-loop process without considering the constraints. A higher-level controller commands reference signals at a lower sampling frequency so as to enforce linear constraints on the variables of the process. By optimally constraining the magnitude and the rate of variation of the reference signals applied to the lower control layer, we provide quantitative criteria for selecting the ratio between the sampling rates of the upper and lower layers to preserve closed-loop stability without violating the prescribed constraints.
date: 2010-12
date_type: published
publisher: IEEE
place_of_pub: Hilton Atlanta Hotel, Atlanta, December 15-17, 2010
pagerange: 5216 -5221
event_title: Decision and Control (CDC), 2010 49th IEEE Conference on
id_number: 10.1109/CDC.2010.5717405
refereed: TRUE
isbn: 978-1-4244-7745-6
book_title: Decision and Control Conference
official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5717405&isnumber=5716927
funders: This work was supported by the European Commission under project “WIDE - Decentralized and Wireless Control of Large-Scale Systems”, contract number FP7-IST-224168.
projects: project “WIDE - Decentralized and Wireless Control of Large-Scale Systems”
citation:   Barcelli, Davide and Bemporad, Alberto and Ripaccioli, Giulio  Hierarchical multi-rate control design for constrained linear systems.   In:  Decision and Control Conference.   IEEE, Hilton Atlanta Hotel, Atlanta, December 15-17, 2010, 5216 -5221.  ISBN 978-1-4244-7745-6      (2010)