Causal state-feedback parameterizations in robust model predictive control
File(s)Automatica_49_9_2013.pdf (217.79 KB)
Accepted version
Author(s)
Tahir, F
Jaimoukha, IM
Type
Journal Article
Abstract
In this paper, we investigate the problem of nonlinearity (and non-convexity) typically associated with linear state-feedback parameterizations in the Robust Model Predictive Control (RMPC) for uncertain systems. In particular, we propose two tractable approaches to compute an RMPC controller–consisting of both a causal, state-feedback gain and a control-perturbation component–for linear, discrete-time systems involving bounded disturbances and norm-bounded structured model-uncertainties along with hard constraints on the input and state. Both the state-feedback gain and the control-perturbation are explicitly considered as decision variables in the online optimization while avoiding nonlinearity and non-convexity in the formulation. The proposed RMPC controller–computed through LMI optimizations–is responsible for steering the uncertain system state to a terminal invariant set. Numerical examples from the literature demonstrate the advantages of the proposed scheme
Editor(s)
Allgöwer, F
Date Issued
2013-09
Citation
Automatica, 2013, 49 (9), pp.2675-2682
ISSN
0005-1098
Publisher
Elsevier
Start Page
2675
End Page
2682
Journal / Book Title
Automatica
Volume
49
Issue
9
Copyright Statement
Copyright © 2013 Elsevier Ltd. All rights reserved.. NOTICE: this is the author’s version of a work that was accepted for publication in Automatica. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Automatica, 49(9), 2013. DOI:10.1016/j.automatica.2013.06.015
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000323594200010&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Robust model predictive control
Optimization under uncertainties
Relaxation
S-procedure
LMI
Publication Status
Published