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

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Resumé

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.
OriginalsprogEngelsk
Titel56th IEEE Conference on Decision and Control
Antal sider6
Udgivelses stedMelbourne, Australia
ForlagIEEE
Publikationsdato2017
Sider5991-5996
ISBN (Elektronisk)978-1-5090-2873-3
DOI
StatusUdgivet - 2017
Begivenhed56th IEEE Conference on Decision and Control (CDC) - Melbourne, Australien
Varighed: 12 dec. 201715 dec. 2017

Konference

Konference56th IEEE Conference on Decision and Control (CDC)
LandAustralien
ByMelbourne
Periode12/12/201715/12/2017
NavnI E E E Conference on Decision and Control. Proceedings
ISSN0743-1546

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Networked control systems
Time delay
Entropy
Feedback

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Barforooshan, M., Østergaard, J., & Stavrou, F. (2017). Achievable Performance of Zero-Delay Variable-Rate Coding in Rate-Constrained Networked Control Systems with Channel Delay. I 56th IEEE Conference on Decision and Control (s. 5991-5996). Melbourne, Australia: IEEE. I E E E Conference on Decision and Control. Proceedings https://doi.org/10.1109/CDC.2017.8264566
Barforooshan, Mohsen ; Østergaard, Jan ; Stavrou, Fotios. / Achievable Performance of Zero-Delay Variable-Rate Coding in Rate-Constrained Networked Control Systems with Channel Delay. 56th IEEE Conference on Decision and Control. Melbourne, Australia : IEEE, 2017. s. 5991-5996 (I E E E Conference on Decision and Control. Proceedings).
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Barforooshan, M, Østergaard, J & Stavrou, F 2017, Achievable Performance of Zero-Delay Variable-Rate Coding in Rate-Constrained Networked Control Systems with Channel Delay. i 56th IEEE Conference on Decision and Control. IEEE, Melbourne, Australia, I E E E Conference on Decision and Control. Proceedings, s. 5991-5996, 56th IEEE Conference on Decision and Control (CDC) , Melbourne, Australien, 12/12/2017. https://doi.org/10.1109/CDC.2017.8264566

Achievable Performance of Zero-Delay Variable-Rate Coding in Rate-Constrained Networked Control Systems with Channel Delay. / Barforooshan, Mohsen; Østergaard, Jan; Stavrou, Fotios.

56th IEEE Conference on Decision and Control. Melbourne, Australia : IEEE, 2017. s. 5991-5996 (I E E E Conference on Decision and Control. Proceedings).

Publikation: Bidrag til bog/antologi/rapport/konference proceedingKonferenceartikel i proceedingForskningpeer review

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Barforooshan M, Østergaard J, Stavrou F. Achievable Performance of Zero-Delay Variable-Rate Coding in Rate-Constrained Networked Control Systems with Channel Delay. I 56th IEEE Conference on Decision and Control. Melbourne, Australia: IEEE. 2017. s. 5991-5996. (I E E E Conference on Decision and Control. Proceedings). https://doi.org/10.1109/CDC.2017.8264566