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Dissipativity-Preserving Model Reduction for Large-Scale Distributed Control Systems
KTH, School of Electrical Engineering (EES), Automatic Control.ORCID iD: 0000-0003-1835-2963
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2015 (English)In: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 60, no 4, 1023-1037 p.Article in journal (Refereed) Published
Abstract [en]

We propose a dissipativity-preserving structured model reduction method for distributed control systems. As a fundamental tool to develop structured model reduction, we first establish dissipativity-preserving model reduction for general linear systems on the basis of a singular perturbation approximation. To this end, by deriving a tractable expression of singular perturbation models, we characterize dissipativity preservation in terms of a projection-like transformation of storage functions, and we show that the resultant approximation error is relevant to the sum of neglected eigenvalues of an index matrix. Next, utilizing this dissipativity-preserving model reduction, we develop a structured controller reduction method for distributed control systems. The major significance of this method is to preserve the spatial distribution of dissipative controllers and to provide an a priori bound for the performance degradation of closed-loop systems in terms of the H-2-norm. The efficiency of the proposed method is verified through a numerical example of vibration suppression control for interconnected second-order systems.

Place, publisher, year, edition, pages
2015. Vol. 60, no 4, 1023-1037 p.
Keyword [en]
Dissipativity preservation, distributed control systems, singular perturbation approximation, structured model reduction
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-165200DOI: 10.1109/TAC.2014.2370271ISI: 000351731600010Scopus ID: 2-s2.0-84961340092OAI: oai:DiVA.org:kth-165200DiVA: diva2:810510
Note

QC 20150507

Available from: 2015-05-07 Created: 2015-04-24 Last updated: 2017-12-04Bibliographically approved

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Sandberg, Henrik

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