relation: http://eprints.imtlucca.it/4006/
title: Periodic Optimal Control, Dissipativity and MPC
creator: Zanon, Mario
creator: Grune, Lars
creator: Diehl, Moritz
subject: T Technology (General)
description: 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.
publisher: IEEE
date: 2017
type: Article
type: PeerReviewed
format: application/pdf
language: en
rights: cc_by_nc
identifier: http://eprints.imtlucca.it/4006/1/Gruene_Zanon_periodic_opt_control_dissipativity_mpc_2014.pdf
identifier:   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)  
relation: http://doi.org/10.1109/TAC.2016.2601881
relation: doi:10.1109/TAC.2016.2601881