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Stabilization of MIMO systems over additive correlated noise channels subject to multiple SNR-constraints
KTH, School of Electrical Engineering and Computer Science (EECS), Automatic Control.
2018 (English)In: 2018 European Control Conference, ECC 2018, Institute of Electrical and Electronics Engineers (IEEE), 2018, p. 1493-1498Conference paper, Published paper (Refereed)
Abstract [en]

This paper studies the mean square stabilization of MIMO discrete-time linear time-invariant systems over a MIMO additive correlated channel. We assume that such channel consists of multiple correlated SISO channels subject to independent input signal-to-noise ratio (SNR) constraints. We derive explicit conditions for which mean square stabilization can be achieved under such constraints for unstable minimum phase plants, and characterize the controller that achieves such SNR. We also present the set of admissible SNR constraints for mean square stability for a particular set of plants. Our results show that noise correlation can reduce the SNR requirements for stability compared to independent additive white noise channels. In addition, a numerical simulation is provided to illustrate the theoretical results.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE), 2018. p. 1493-1498
Keywords [en]
Correlated noise channel, mean-square stabi- lization, signal-to-noise ratio constraints
National Category
Signal Processing
Identifiers
URN: urn:nbn:se:kth:diva-241522DOI: 10.23919/ECC.2018.8550207Scopus ID: 2-s2.0-85059806006ISBN: 9783952426982 (print)OAI: oai:DiVA.org:kth-241522DiVA, id: diva2:1281913
Conference
16th European Control Conference, ECC 2018, Limassol, Cyprus, 12 June 2018 through 15 June 2018
Note

QC 20190123

Available from: 2019-01-23 Created: 2019-01-23 Last updated: 2019-01-23Bibliographically approved

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CiteExportLink to record
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  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
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Language
  • de-DE
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  • nn-NO
  • nn-NB
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  • Other locale
More languages
Output format
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  • asciidoc
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