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Löhning, M.* ; Reble, M.* ; Hasenauer, J. ; Yu, S.* ; Allgöwer, F.*

Model predictive control using reduced order models: Guaranteed stability for constrained linear systems.

J. Process Contr. 24, 1647-1659 (2014)

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Open Access Green as soon as Postprint is submitted to ZB.

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The problem of controlling a high-dimensional linear system subject to hard input and state constraints using model predictive control is considered. Applying model predictive control to high-dimensional systems typically leads to a prohibitive computational complexity. Therefore, reduced order models are employed in many applications. This introduces an approximation error which may deteriorate the closed loop behavior and may even lead to instability. We propose a novel model predictive control scheme using a reduced order model for prediction in combination with an error bounding system. We employ the explicit time and input dependent bound on the model order reduction error to achieve design conditions for constraint fulfillment, recursive feasibility and asymptotic stability for the closed loop of the model predictive controller when applied to the high-dimensional system. Moreover, for a special choice of design parameters, we establish local optimality of the proposed model predictive control scheme. The proposed MPC approach is assessed via examples demonstrating that a good trade-off between computational efficiency and conservatism can be achieved while guaranteeing constraint satisfaction and asymptotic stability.

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Publication type Article: Journal article

Document type Scientific Article

Corresponding Author

Keywords Large-scale Linear System ; Model Order Reduction ; Model Predictive Control ; Reduction Error Bound ; Stability

ISSN (print) / ISBN 0959-1524

Journal Journal of Process Control

Quellenangaben Volume: 24, Issue: 11, Pages: 1647-1659

Publisher Elsevier

Publishing Place Oxford

Non-patent literature Publications

Reviewing status Peer reviewed

Institute(s) Institute of Computational Biology (ICB)