MPC for uncertain systems using the Youla parameterizations

Sven Creutz Thomsen; Hans Henrik Niemann; Niels Kjølstad Poulsen

doi:10.1109/CDC.2008.4738799

MPC for uncertain systems using the Youla parameterizations

Sven Creutz Thomsen, Hans Henrik Niemann, Niels Kjølstad Poulsen

Department of Electrical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

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Abstract

Several approaches have been taken in the past to deal with uncertainty in constrained predictive control. The major drawbacks of these efforts are usually either conservativeness and/or on-line computational complexity. In this work we examine the possibility of dealing with uncertainty through the use of the primary and the dual Youla parameterizations. The dual Youla parameter can be seen as a frequency weighted measure of the uncertainty and the primary Youla parameter can be seen as a controller for this uncertainty. The work is an application of the methodology in [12] to constraint control.

Original language	English
Title of host publication	Proceedings of the 48th IEEE Conference on Decision and Control
Publisher	IEEE
Publication date	2008
Pages	3421-3426
ISBN (Print)	978-1-4244-3124-3
DOIs	https://doi.org/10.1109/CDC.2008.4738799
Publication status	Published - 2008
Event	47th IEEE Conference on Decision and Control - Fiesta Americana Grand Coral Beach, Cancun, Mexico Duration: 9 Dec 2008 → 11 Dec 2008 Conference number: 47

Conference

Conference	47th IEEE Conference on Decision and Control
Number	47
Location	Fiesta Americana Grand Coral Beach
Country/Territory	Mexico
City	Cancun
Period	09/12/2008 → 11/12/2008

Bibliographical note

Copyright: 2008 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE

Keywords

Model predictive control
Uncertain systems
Youla parameterization

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10.1109/CDC.2008.4738799

ThomsenFinal published version, 213 KB

Cite this

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title = "MPC for uncertain systems using the Youla parameterizations",

abstract = "Several approaches have been taken in the past to deal with uncertainty in constrained predictive control. The major drawbacks of these efforts are usually either conservativeness and/or on-line computational complexity. In this work we examine the possibility of dealing with uncertainty through the use of the primary and the dual Youla parameterizations. The dual Youla parameter can be seen as a frequency weighted measure of the uncertainty and the primary Youla parameter can be seen as a controller for this uncertainty. The work is an application of the methodology in [12] to constraint control.",

keywords = "Model predictive control, Uncertain systems, Youla parameterization",

author = "Thomsen, {Sven Creutz} and Niemann, {Hans Henrik} and Poulsen, {Niels Kj{\o}lstad}",

note = "Copyright: 2008 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE; 47th IEEE Conference on Decision and Control, CDC ; Conference date: 09-12-2008 Through 11-12-2008",

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AB - Several approaches have been taken in the past to deal with uncertainty in constrained predictive control. The major drawbacks of these efforts are usually either conservativeness and/or on-line computational complexity. In this work we examine the possibility of dealing with uncertainty through the use of the primary and the dual Youla parameterizations. The dual Youla parameter can be seen as a frequency weighted measure of the uncertainty and the primary Youla parameter can be seen as a controller for this uncertainty. The work is an application of the methodology in [12] to constraint control.

KW - Model predictive control

KW - Uncertain systems

KW - Youla parameterization

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DO - 10.1109/CDC.2008.4738799

M3 - Article in proceedings

SN - 978-1-4244-3124-3

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BT - Proceedings of the 48th IEEE Conference on Decision and Control

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T2 - 47th IEEE Conference on Decision and Control

Y2 - 9 December 2008 through 11 December 2008

ER -

MPC for uncertain systems using the Youla parameterizations

Abstract

Conference

Bibliographical note

Keywords

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