eprintid: 4006
rev_number: 8
eprint_status: archive
userid: 87
dir: disk0/00/00/40/06
datestamp: 2018-03-09 14:09:34
lastmod: 2018-03-09 14:09:34
status_changed: 2018-03-09 14:09:34
type: article
metadata_visibility: show
creators_name: Zanon, Mario
creators_name: Grune, Lars
creators_name: Diehl, Moritz
creators_id: mario.zanon@imtlucca.it
creators_id: 
creators_id: 
title: Periodic Optimal Control, Dissipativity and MPC
ispublished: pub
subjects: T1
divisions: CSA
full_text_status: public
abstract: Recent research has established the importance of (strict) dissipativity for proving stability of economic MPC in the case of an optimal steady state. In many cases, though, steady-state operation is not economically optimal and periodic operation of the system yields a better performance. In this technical note, we propose ways of extending the notion of (strict) dissipativity for periodic systems. We prove that optimal P-periodic operation and MPC stability directly follow, similarly to the steady-state case, which can be seen as a special case of the proposed framework. Finally, we illustrate the theoretical results with several simple examples.
date: 2017
date_type: published
publication: IEEE Transactions on Automatic Control
volume: 62
number: 6
publisher: IEEE
pagerange: 2943-2949
id_number: doi:10.1109/TAC.2016.2601881
refereed: TRUE
issn: 0018-9286
official_url: http://doi.org/10.1109/TAC.2016.2601881
citation:   Zanon, Mario and Grune, Lars and Diehl, Moritz  Periodic Optimal Control, Dissipativity and MPC.  IEEE Transactions on Automatic Control, 62 (6).  pp. 2943-2949.  ISSN 0018-9286      (2017)  
document_url: http://eprints.imtlucca.it/4006/1/Gruene_Zanon_periodic_opt_control_dissipativity_mpc_2014.pdf