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An Improved Gramian-based Interaction Measure for Time-Delay Systems
Luleå University of Technology, Department of Computer Science, Electrical and Space Engineering, Signals and Systems. Faculty of Electrical Engineering, K. N. Toosi University of Technology, Tehran, Iran.ORCID iD: 0000-0003-1737-4837
Luleå University of Technology, Department of Computer Science, Electrical and Space Engineering, Signals and Systems.ORCID iD: 0000-0002-5888-8626
2020 (English)In: Proceedings of the IFAC World Congress 2020 / [ed] Rolf Findeisen, Sandra Hirche, Klaus Janschek, Martin Mönnigmann, Elsevier, 2020, p. 11735-11739Conference paper, Published paper (Refereed)
Abstract [en]

In this paper, a modified Gramian based control configuration selection (CCS) method for linear multi-input multi-output (MIMO) plants with time delays in input-output channels is proposed. In contrast to the typical approach of approximating the delayed system, the time delay is directly integrated in the method by using the finite-time H2 norm for the time- delay system (TDS). The methodology is based on an explicit formula for computing the finite-time H2 norm for stable SISO systems. Gramian-based CCS methods are either insensitive to time delays or favor channels with large delays, while the proposed method suggests configuration which are more reasonable. A numerical examples is used to discuss and benchmark the method. It is concluded that the proposed methods provides adequate configuration suggestions and circumvents a well-known shortcoming.

Place, publisher, year, edition, pages
Elsevier, 2020. p. 11735-11739
Series
IFAC-PapersOnLine, E-ISSN 2405-8963 ; 53 (2)
Keywords [en]
Gramians, time delays, control configuration selection
National Category
Control Engineering
Research subject
Automatic Control
Identifiers
URN: urn:nbn:se:ltu:diva-80256DOI: 10.1016/j.ifacol.2020.12.676ISI: 000652593100472Scopus ID: 2-s2.0-85105097217OAI: oai:DiVA.org:ltu-80256DiVA, id: diva2:1455157
Conference
21st IFAC World Congress, Berlin, Germany, July 12-17, 2020
Available from: 2020-07-22 Created: 2020-07-22 Last updated: 2021-06-21Bibliographically approved

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Moaveni, BijanBirk, Wolfgang

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