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Optimal Block Length for Data-Rate Minimization in Networked LQG Control
KTH, School of Electrical Engineering (EES), Automatic Control.
KTH, School of Electrical Engineering (EES), Automatic Control.ORCID iD: 0000-0001-9940-5929
KTH, School of Electrical Engineering (EES), Information Science and Engineering.ORCID iD: 0000-0002-7926-5081
2016 (English)In: IFAC-PapersOnLine, ISSN 2405-8963, Vol. 49, no 22, p. 133-138Article in journal (Refereed) Published
Abstract [en]

We consider a discrete-time networked LQG control problem in which state information must be transmitted to the controller over a noiseless binary channel using prefix-free codewords. Quantizer, encoder and controller are jointly designed to minimize average data-rate while satisfying required LQG control performance. We study the effects of selecting large block-lengths (data transmission intervals) from the perspectives of information-theoretic advantage due to coding efficiency and control-theoretic disadvantage due to delay. In particular, we demonstrate that the performance of networked control scheme by Tanaka et al. (2016) can be improved by adjusting the block-length optimally. As a byproduct of this study, we also show that the data-rate theorem for mean-square stability similar to Nair and Evans (2004) can be recovered by considering sufficiently large block-lengths.

Place, publisher, year, edition, pages
Elsevier, 2016. Vol. 49, no 22, p. 133-138
Keywords [en]
Data compression, Huffman codes, LQG control, Quantization, Sampling rates, Stability, Controllers, Convergence of numerical methods, Information theory, Data transmission intervals, Huffman code, Mean square stability, Networked controls, State information
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-202192DOI: 10.1016/j.ifacol.2016.10.385Scopus ID: 2-s2.0-84994157492OAI: oai:DiVA.org:kth-202192DiVA, id: diva2:1075678
Note

QC 20170220

Available from: 2017-02-20 Created: 2017-02-20 Last updated: 2017-06-29Bibliographically approved

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Johansson, Karl H.Skoglund, Mikael

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  • apa
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  • de-DE
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