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Controller Reduction with Closed Loop Performance Guarantee
KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre. KTH, School of Electrical Engineering (EES), Automatic Control.
Automatic Control, Lund University.
2010 (English)In: IEEE Conference on Decision and Control, 2010, 6207-6212 p.Conference paper (Refereed)
Abstract [en]

This paper describes a modification of a singular value decomposition (SVD) based controller reduction method recently proposed in \cite{SR10}. Instead of formulating a $\mathcal{H}_2$ norm characterizing generalized controllability Gramian inequality as in the previous case, the current method applies the bounded-real lemma to certify the closed loop performances in $\mathcal{H}_\infty$ norm. In addition, unlike the previous method, the current one does not suffer from the lack of symmetry that all the data from the plant is not utilized. Yet, the current method inherits the same merit as the previous one that the formulated problem can be solved as a generalized minimum rank matrix approximation problem which can be solved efficiently using SVD. Extensions and numerical examples are shown in the end.

Place, publisher, year, edition, pages
2010. 6207-6212 p.
National Category
Control Engineering
URN: urn:nbn:se:kth:diva-47469DOI: 10.1109/CDC.2010.5717255ISI: 000295049107011ScopusID: 2-s2.0-79953149488OAI: diva2:455456
2010 49th IEEE Conference on Decision and Control, CDC 2010. Atlanta, GA. 15 December 2010 through 17 December 2010

QC 20111111

Available from: 2011-11-10 Created: 2011-11-10 Last updated: 2012-09-05Bibliographically approved

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Sou, Kin Cheong
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ACCESS Linnaeus CentreAutomatic Control
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