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  • 标题:Optimal Block Length for Data-Rate Minimization in Networked LQG Control
  • 本地全文:下载
  • 作者:Takashi Tanaka ; Takashi Tanaka ; Karl Henrik Johansson
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2016
  • 卷号:49
  • 期号:22
  • 页码:133-138
  • DOI:10.1016/j.ifacol.2016.10.385
  • 语种:English
  • 出版社:Elsevier
  • 摘要:Abstract: 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.
  • 关键词:KeywordsLQG controlQuantizationSampling ratesHuffman codesData compressionStability
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