eprintid: 4011
rev_number: 8
eprint_status: archive
userid: 87
dir: disk0/00/00/40/11
datestamp: 2018-03-09 14:17:27
lastmod: 2018-03-09 14:17:27
status_changed: 2018-03-09 14:17:27
type: article
metadata_visibility: show
creators_name: Zanon, Mario
creators_name: Gros, Sébastien
creators_name: Diehl, Moritz
creators_id: mario.zanon@imtlucca.it
creators_id: 
creators_id: 
title: A tracking MPC formulation that is locally equivalent to economic MPC
ispublished: pub
subjects: T1
divisions: CSA
full_text_status: restricted
keywords: Economic MPC; Stability theory for MPC; Formal design of tracking MPC
abstract: The stability proof for economic Model Predictive Control (MPC) is in general difficult to establish. In contrast, tracking MPC has well-established and practically applicable stability guarantees, but can yield poor closed-loop performance in terms of the selected economic criterion. In this paper, we derive a formal procedure to design a tracking MPC scheme so as to locally approximate the behaviour of economic MPC. Given an economic stage cost, the desired tracking stage cost can therefore be computed automatically. Because tracking MPC guarantees stability of the closed-loop system, our procedure succeeds if and only if economic MPC is locally stabilising. This fact can be used to certify whether economic MPC is not stabilising. We illustrate the theoretical developments in a simulated example.
date: 2016
date_type: published
publication: Journal of Process Control
volume: 45
publisher: Elsevier
pagerange: 30-42
id_number: doi:10.1016/j.jprocont.2016.06.006
refereed: TRUE
issn: 0959-1524
official_url: http://doi.org/10.1016/j.jprocont.2016.06.006
citation:   Zanon, Mario and Gros, Sébastien and Diehl, Moritz  A tracking MPC formulation that is locally equivalent to economic MPC.  Journal of Process Control, 45.  pp. 30-42.  ISSN 0959-1524      (2016)  
document_url: http://eprints.imtlucca.it/4011/1/1-s2.0-S0959152416300725-main.pdf