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Weight selection for gap robustness with degree-constrained controllers
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory. KTH, School of Engineering Sciences (SCI), Centres, Center for Industrial and Applied Mathematics, CIAM. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0002-2681-8383
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory. KTH, School of Engineering Sciences (SCI), Centres, Center for Industrial and Applied Mathematics, CIAM. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0001-5158-9255
2008 (English)In: Proc. 47th IEEE Conference on Decision and Control, 2008, 4127-4134 p.Conference paper, Published paper (Refereed)
Abstract [en]

In modern robust control, control synthesis may be cast as an interpolation problem where the interpolant relates to robustness and performance criteria. In particular,robustness in the gap fits into this framework and the magnitude of the corresponding interpolant dictate the robustness to perturbations of the plant as a function of frequency. In this paper we consider the correspondence between weighted entropy functionals and minimizing interpolants in order to find appropriate interpolants for e.g. control synthesis. There are two basic issues that we address: we first characterize admissible shapes of minimizers by studying the corresponding inverse problem, and then we develop effective ways of shaping minimizers via suitable choices of weights. These results are used in order to systematize feedback control synthesis to obtain frequency dependentrobustness bounds with a constraint on the controller degree. 

Place, publisher, year, edition, pages
2008. 4127-4134 p.
Keyword [en]
Control synthesis, Frequency dependents, Function of frequencies, Functionals, Interpolant, Interpolants, Interpolation problems, Performance criterion, Robustness bounds
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-60772DOI: 10.1109/CDC.2008.4738676ISBN: 978-142443124-3 (print)OAI: oai:DiVA.org:kth-60772DiVA: diva2:477909
Conference
47th IEEE Conference on Decision and Control, CDC 2008, Cancun, 9 December 2008 through 11 December 2008
Note
QC 20120223Available from: 2012-01-14 Created: 2012-01-14 Last updated: 2012-02-23Bibliographically approved

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Lindquist, AndersKarlsson, Johan

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