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On the Latency Rate and Reliability Tradeoff in Wireless Networked Control Systems for IIoT

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Document pages: 11 pages

Abstract: Wireless networked control systems (WNCSs) provide a key enabling techniquefor Industry Internet of Things (IIoT). However, in the literature of WNCSs,most of the research focuses on the control perspective, and has consideredoversimplified models of wireless communications which do not capture the keyparameters of a practical wireless communication system, such as latency, datarate and reliability. In this paper, we focus on a WNCS, where a controllertransmits quantized and encoded control codewords to a remote actuator througha wireless channel, and adopt a detailed model of the wireless communicationsystem, which jointly considers the inter-related communication parameters. Wederive the stability region of the WNCS. If and only if the tuple of thecommunication parameters lies in the region, the average cost function, i.e., aperformance metric of the WNCS, is bounded. We further obtain a necessary andsufficient condition under which the stability region is $n$-bounded, where $n$is the control codeword blocklength. We also analyze the average cost functionof the WNCS. Such analysis is non-trivial because the finite-bit control-signalquantizer introduces a non-linear and discontinuous quantization function whichmakes the performance analysis very difficult. We derive tight upper and lowerbounds on the average cost function in terms of latency, data rate andreliability. Our analytical results provide important insights into the designof the optimal parameters to minimize the average cost within the stabilityregion.

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