eprintid: 4018
rev_number: 8
eprint_status: archive
userid: 87
dir: disk0/00/00/40/18
datestamp: 2018-03-12 09:30:24
lastmod: 2018-03-12 09:30:24
status_changed: 2018-03-12 09:30:24
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: Indefinite linear MPC and approximated economic MPC for nonlinear systems
ispublished: pub
subjects: T1
divisions: CSA
full_text_status: restricted
keywords: Economic MPC; LQR; Stability theory for MPC
abstract: The stability proof for economic model predictive control (MPC) relies on strict dissipativity, which is in general hard to check. In this contribution, we will first analyze the linear quadratic case with possibly indefinite cost. The conditions for stability will be recalled and it will be shown that every stabilizing LQR/MPC has an equivalent positive definite LQR/MPC which yields the same open loop and closed loop behavior. This analysis will then be used to formulate an approximated nonlinear economic MPC scheme, which has stability guarantees. An example will be used to illustrate the proposed technique and show its potential in terms of performance.
date: 2014
date_type: published
publication: Journal of Process Control
volume: 24
number: 8
publisher: Elsevier
pagerange: 1273-1281
id_number: doi:10.1016/j.jprocont.2014.04.023
refereed: TRUE
issn: 0959-1524
official_url: http://doi.org/10.1016/j.jprocont.2014.04.023
citation:   Zanon, Mario and Gros, Sébastien and Diehl, Moritz  Indefinite linear MPC and approximated economic MPC for nonlinear systems.  Journal of Process Control, 24 (8).  pp. 1273-1281.  ISSN 0959-1524      (2014)  
document_url: http://eprints.imtlucca.it/4018/1/1-s2.0-S0959152414001322-main.pdf