Krylov-based controller reduction for large-scale systems

In this paper, we introduce a computationally efficient controller reduction approach using a rational Krylov method. We show that a reduced-order controller obtained via a Krylov projection is guaranteed to match the desired full-order closed loop system response at shifts used in the Krylov reduct...

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Hauptverfasser: Gugercin, S., Antoulas, A.C., Beattie, C.A., Gildin, E.
Format: Tagungsbericht
Sprache:eng
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Zusammenfassung:In this paper, we introduce a computationally efficient controller reduction approach using a rational Krylov method. We show that a reduced-order controller obtained via a Krylov projection is guaranteed to match the desired full-order closed loop system response at shifts used in the Krylov reduction of the controller. Two different shift selection strategies are proposed. A numerical example illustrates the effectiveness of the proposed approach.
ISSN:0191-2216
DOI:10.1109/CDC.2004.1428938