relation: http://eprints.imtlucca.it/4018/
title: Indefinite linear MPC and approximated economic MPC for nonlinear systems
creator: Zanon, Mario
creator: Gros, Sébastien
creator: Diehl, Moritz
subject: T Technology (General)
description: 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.
publisher: Elsevier
date: 2014
type: Article
type: PeerReviewed
format: application/pdf
language: en
identifier: http://eprints.imtlucca.it/4018/1/1-s2.0-S0959152414001322-main.pdf
identifier:   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)  
relation: http://doi.org/10.1016/j.jprocont.2014.04.023
relation: doi:10.1016/j.jprocont.2014.04.023