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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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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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Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
Schlagwörter Large-scale Linear System ; Model Order Reduction ; Model Predictive Control ; Reduction Error Bound ; Stability
ISSN (print) / ISBN 0959-1524
Quellenangaben Band: 24, Heft: 11, Seiten: 1647-1659 Artikelnummer: , Supplement: ,
Verlag Elsevier
Verlagsort Oxford