Stabilizing a CFD model of an unstable system through model reduction

Autor: Svein Hovland, Jan T. Gravdahl
Jazyk: angličtina
Rok vydání: 2006
Předmět:
Zdroj: Modeling, Identification and Control, Vol 27, Iss 3, Pp 171-180 (2006)
Druh dokumentu: article
ISSN: 0332-7353
1890-1328
DOI: 10.4173/mic.2006.3.3
Popis: We demonstate stabilization of a computational fluid dynamics model of an unstable system. The unstable heating of a two-dimensional plate is used as a case study. Active control is introduced by cooling parts of the boundaries of the plate. The high order of the original model is reduced by proper orthogonal decomposition, giving an unstable reduced order model with a state space structure convenient for controller design. A stabilizing controller based on pole placement is designed for the reduced order model and integral action is included to enhance performance. The controller is then applied to the full model, where it is shown through simulations to stabilize the system. The demonstrated procedure makes it possible to analyze stability properties and design control systems for a class of systems that would otherwise be very computationally demanding.
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