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On the Dual Effect in State-based Scheduling of Networked Control Systems
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0001-7228-0249
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0003-1835-2963
KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0001-9940-5929
2011 (English)In: Proceedings of the 2011 American Control Conference, IEEE , 2011, 2216-2221 p.Conference paper, Published paper (Refereed)
Abstract [en]

In this paper, we show that there is a dual effect with state-based scheduling. In general, this makes the optimal scheduler and controller hard to find. However, by removing past controls from the scheduling criterion, we find that certainty equivalence holds. This condition is related to the classical result of Bar-Shalom and Tse, and it leads to the design of a sub-optimal scheduler with a certainty equivalent controller. Furthermore, we show that a mapping of the state-based scheduler into one which fulfills this condition, and consequently has an optimal certainty equivalent controller, does not result in an equivalent class of design in the sense of Witsenhausen. Computing the estimate remains hard, but can be simplified by introducing a symmetry constraint on the scheduler.

Place, publisher, year, edition, pages
IEEE , 2011. 2216-2221 p.
Series
Proceedings of the American Control Conference, ISSN 0743-1619
Keyword [en]
Estimation error, Optimal control, Optimal scheduling, Processor scheduling, Scheduling, Tin
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-47682ISI: 000295376002139Scopus ID: 2-s2.0-80053155550ISBN: 978-1-4577-0080-4 (print)OAI: oai:DiVA.org:kth-47682DiVA: diva2:455997
Conference
2011 American Control Conference (ACC) on O'Farrell Street, San Francisco, CA
Funder
TrenOp, Transport Research Environment with Novel PerspectivesICT - The Next Generation
Note
© 2011 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. QC 20111117Available from: 2011-11-17 Created: 2011-11-11 Last updated: 2012-02-07Bibliographically approved

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Ramesh, ChithrupaSandberg, HenrikJohansson, Karl Henrik

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