Robust Model Predictive Control of a Nonlinear System with Known Scheduling Variable and Uncertain Gain

Publication: Research - peer-reviewArticle in proceedings – Annual report year: 2012

Standard

Robust Model Predictive Control of a Nonlinear System with Known Scheduling Variable and Uncertain Gain. / Mirzaei, Mahmood; Poulsen, Niels Kjølstad; Niemann, Hans Henrik.

Robust Control Design. Vol. 7 International Federation of Automatic Control, 2012. p. 616-621 (IFAC Proceedings Volumes (IFAC-PapersOnline) ).

Publication: Research - peer-reviewArticle in proceedings – Annual report year: 2012

Harvard

Mirzaei, M, Poulsen, NK & Niemann, HH 2012, 'Robust Model Predictive Control of a Nonlinear System with Known Scheduling Variable and Uncertain Gain'. in Robust Control Design. vol. 7, International Federation of Automatic Control, pp. 616-621. IFAC Proceedings Volumes (IFAC-PapersOnline) , , 10.3182/20120620-3-DK-2025.00107

APA

Mirzaei, M., Poulsen, N. K., & Niemann, H. H. (2012). Robust Model Predictive Control of a Nonlinear System with Known Scheduling Variable and Uncertain Gain. In Robust Control Design. (Vol. 7, pp. 616-621). International Federation of Automatic Control. (IFAC Proceedings Volumes (IFAC-PapersOnline) ). 10.3182/20120620-3-DK-2025.00107

CBE

Mirzaei M, Poulsen NK, Niemann HH. 2012. Robust Model Predictive Control of a Nonlinear System with Known Scheduling Variable and Uncertain Gain. In Robust Control Design. International Federation of Automatic Control. pp. 616-621. (IFAC Proceedings Volumes (IFAC-PapersOnline) ). Available from: 10.3182/20120620-3-DK-2025.00107

MLA

Mirzaei, Mahmood, Niels Kjølstad Poulsen, and Hans Henrik Niemann "Robust Model Predictive Control of a Nonlinear System with Known Scheduling Variable and Uncertain Gain". Robust Control Design. International Federation of Automatic Control. 2012. 616-621. (IFAC Proceedings Volumes (IFAC-PapersOnline) ). Available: 10.3182/20120620-3-DK-2025.00107

Vancouver

Mirzaei M, Poulsen NK, Niemann HH. Robust Model Predictive Control of a Nonlinear System with Known Scheduling Variable and Uncertain Gain. In Robust Control Design. Vol. 7. International Federation of Automatic Control. 2012. p. 616-621. (IFAC Proceedings Volumes (IFAC-PapersOnline) ). Available from: 10.3182/20120620-3-DK-2025.00107

Author

Mirzaei, Mahmood; Poulsen, Niels Kjølstad; Niemann, Hans Henrik / Robust Model Predictive Control of a Nonlinear System with Known Scheduling Variable and Uncertain Gain.

Robust Control Design. Vol. 7 International Federation of Automatic Control, 2012. p. 616-621 (IFAC Proceedings Volumes (IFAC-PapersOnline) ).

Publication: Research - peer-reviewArticle in proceedings – Annual report year: 2012

Bibtex

@inbook{d42e431af10d4de58f2a11ef889025ff,
title = "Robust Model Predictive Control of a Nonlinear System with Known Scheduling Variable and Uncertain Gain",
keywords = "Control, Nonlinear systems, Optical radar, Scheduling, State space methods, Wind effects, Wind turbines, Robust control, LIDAR measurements, Linear parameter varying, Robust model predictive control, Lidar measurements, Linear parameter varying models, Minimax optimization, Prediction horizon, Scheduling variable, Special structure, State prediction, State space model, Wind speed",
publisher = "International Federation of Automatic Control",
author = "Mahmood Mirzaei and Poulsen, {Niels Kjølstad} and Niemann, {Hans Henrik}",
year = "2012",
doi = "10.3182/20120620-3-DK-2025.00107",
volume = "7",
isbn = "978-3-902823-03-8",
series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",
pages = "616-621",
booktitle = "Robust Control Design",

}

RIS

TY - GEN

T1 - Robust Model Predictive Control of a Nonlinear System with Known Scheduling Variable and Uncertain Gain

A1 - Mirzaei,Mahmood

A1 - Poulsen,Niels Kjølstad

A1 - Niemann,Hans Henrik

AU - Mirzaei,Mahmood

AU - Poulsen,Niels Kjølstad

AU - Niemann,Hans Henrik

PB - International Federation of Automatic Control

PY - 2012

Y1 - 2012

N2 - Robust model predictive control (RMPC) of a class of nonlinear systems is considered in this paper. We will use Linear Parameter Varying (LPV) model of the nonlinear system. By taking the advantage of having future values of the scheduling variable, we will simplify state prediction. Because of the special structure of the problem, uncertainty is only in the B matrix (gain) of the state space model. Therefore by taking advantage of this structure, we formulate a tractable minimax optimization problem to solve robust model predictive control problem. Wind turbine is chosen as the case study and we choose wind speed as the scheduling variable. Wind speed is measurable ahead of the turbine, therefore the scheduling variable is known for the entire prediction horizon.

AB - Robust model predictive control (RMPC) of a class of nonlinear systems is considered in this paper. We will use Linear Parameter Varying (LPV) model of the nonlinear system. By taking the advantage of having future values of the scheduling variable, we will simplify state prediction. Because of the special structure of the problem, uncertainty is only in the B matrix (gain) of the state space model. Therefore by taking advantage of this structure, we formulate a tractable minimax optimization problem to solve robust model predictive control problem. Wind turbine is chosen as the case study and we choose wind speed as the scheduling variable. Wind speed is measurable ahead of the turbine, therefore the scheduling variable is known for the entire prediction horizon.

KW - Control

KW - Nonlinear systems

KW - Optical radar

KW - Scheduling

KW - State space methods

KW - Wind effects

KW - Wind turbines

KW - Robust control

KW - LIDAR measurements

KW - Linear parameter varying

KW - Robust model predictive control

KW - Lidar measurements

KW - Linear parameter varying models

KW - Minimax optimization

KW - Prediction horizon

KW - Scheduling variable

KW - Special structure

KW - State prediction

KW - State space model

KW - Wind speed

U2 - 10.3182/20120620-3-DK-2025.00107

DO - 10.3182/20120620-3-DK-2025.00107

SN - 978-3-902823-03-8

VL - 7

BT - Robust Control Design

T2 - Robust Control Design

T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)

T3 - en_GB

SP - 616

EP - 621

ER -