Achievable Performance of Zero-Delay Variable-Rate Coding in Rate-Constrained Networked Control Systems with Channel Delay

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3 Citations (Scopus)

Abstract

This paper presents an upper bound on the minimum data rate required to achieve a prescribed closed-loop performance level in networked control systems (NCSs). The considered feedback loop includes a linear time-invariant (LTI) plant with single measurement output and single control input. Moreover, in this NCS, a causal but otherwise unconstrained feedback system carries out zero-delay variable-rate coding, and control. Between the encoder and decoder, data is exchanged over a rate-limited noiseless digital channel with a known constant time delay. Here we propose a linear source-coding scheme that with the use of entropy-coded dithered quantizers (ECDQs), attains each quadratic performance level with a rate that exceeds the lower bound in [1] by at most (approximately) 1.254 bits per sample. The upper bound obtained by ECDQ is demonstrated, via simulations, to be an increasing function of the channel time delay at any given performance. In other words, attaining a specific performance level necessitates achieving a higher data rate when the channel time delay grows. The theoretical framework is demonstrated via an illustrative example.
Original languageEnglish
Title of host publication56th IEEE Conference on Decision and Control
Number of pages6
Place of PublicationMelbourne, Australia
PublisherIEEE
Publication date2017
Pages5991-5996
ISBN (Electronic)978-1-5090-2873-3
DOIs
Publication statusPublished - 2017
Event56th IEEE Conference on Decision and Control (CDC) - Melbourne, Australia
Duration: 12 Dec 201715 Dec 2017

Conference

Conference56th IEEE Conference on Decision and Control (CDC)
CountryAustralia
CityMelbourne
Period12/12/201715/12/2017
SeriesI E E E Conference on Decision and Control. Proceedings
ISSN0743-1546

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