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Conference paper

Tuning of methods for offset free MPC based on ARX model representations

From

Department of Chemical and Biochemical Engineering, Technical University of Denmark1

Mathematical Statistics, Department of Informatics and Mathematical Modeling, Technical University of Denmark2

Department of Informatics and Mathematical Modeling, Technical University of Denmark3

Computer Aided Process Engineering Center, Department of Chemical and Biochemical Engineering, Technical University of Denmark4

Scientific Computing, Department of Informatics and Mathematical Modeling, Technical University of Denmark5

Center for Energy Resources Engineering, Centers, Technical University of Denmark6

In this paper we investigate model predictive control (MPC) based on ARX models. ARX models can be identified from data using convex optimization technologies and is linear in the system parameters. Compared to other model parameterizations this feature is an advantage in embedded applications for robust and automatic system identification.

Standard MPC is not able to reject a sustained, unmeasured, non zero mean disturbance and will therefore not provide offset free tracking. Offset free tracking can be guaranteed for this type of disturbances if Δ variables are used or if the state space is extended with a disturbance model state. The relation between the base case and the two extended methods are illustrated which provides good understanding and a platform for discussing tuning for good closed loop performance.

Language: English
Publisher: IEEE
Year: 2010
Pages: 2255-2360
Proceedings: American Control Conference (ACC 2010)
ISBN: 1424474256 , 1424474264 , 1424474272 , 9781424474257 , 9781424474264 and 9781424474271
ISSN: 23785861 and 07431619
Types: Conference paper
DOI: 10.1109/ACC.2010.5530560
ORCIDs: Huusom, Jakob Kjøbsted , Poulsen, Niels Kjølstad , Jørgensen, Sten Bay and Jørgensen, John Bagterp

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