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Affine controller parameterization for decentralized control over Banach spaces
KTH, School of Electrical Engineering (EES), Automatic Control.
2006 (English)In: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 51, no 9, 1497-1500 p.Article in journal (Refereed) Published
Abstract [en]

We cast the problem of optimal decentralized control as one of minimizing a closed-loop norm subject to a subspace constraint on the controller. In this note, we consider continuous linear operators on Banach spaces, and show that a simple property called quadratic invariance is necessary and sufficient for the constraint set to be preserved under feedback, and thus allows optimal synthesis to be recast as a convex optimization problem. These results hold for any norm and any Banach space.

Place, publisher, year, edition, pages
2006. Vol. 51, no 9, 1497-1500 p.
Keyword [en]
Banach spaces, bounded linear operators, convex optimization, decentralized control, networked control, robust control
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-37603DOI: 10.1109/TAC.2006.880781ISI: 000240579000009Scopus ID: 2-s2.0-33749031013OAI: oai:DiVA.org:kth-37603DiVA: diva2:434440
Available from: 2011-08-15 Created: 2011-08-15 Last updated: 2017-12-08Bibliographically approved

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