面向IIoT的无线网络控制系统中时延、速率与可靠性的权衡研究
On the Latency, Rate and Reliability Tradeoff in Wireless Networked Control Systems for IIoT
AI总结：
本文针对IIoT中WNCS现有通信模型过于简化的问题，采用精细化通信模型推导了系统稳定域与充要条件，给出了平均代价函数的紧上下界，为最优参数设计提供了理论依据。
摘要：
无线网络控制系统（WNCSs）是工业物联网（IIoT）的关键使能技术。然而在现有WNCSs研究中，多数工作从控制视角展开，所采用的无线通信模型过于简化，未涵盖实际无线通信系统的关键参数，例如时延、数据速率与可靠性。本文聚焦一种WNCS场景：控制器通过无线信道向远程执行器传输经量化编码的控制码字，并采用联合考虑相互关联的通信参数的精细化无线通信系统模型。我们推导了该WNCS的稳定域：当且仅当通信参数组落在该区域内时，作为WNCS性能度量的平均代价函数是有界的。我们进一步得到了稳定域为n有界的充要条件，其中n为控制码字块长。我们还分析了WNCS的平均代价函数：由于有限比特控制信号量化器引入了非线性且不连续的量化函数，使得性能分析难度极高，因此该分析并非易事。我们推导了平均代价函数关于时延、数据速率与可靠性的紧上下界。我们的解析结果为在稳定域内设计使平均代价最小化的最优参数提供了重要参考。
英文摘要：
Wireless networked control systems (WNCSs) provide a key enabling technique for Industry Internet of Things (IIoT). However, in the literature of WNCSs, most of the research focuses on the control perspective, and has considered oversimplified models of wireless communications which do not capture the key parameters of a practical wireless communication system, such as latency, data rate and reliability. In this paper, we focus on a WNCS, where a controller transmits quantized and encoded control codewords to a remote actuator through a wireless channel, and adopt a detailed model of the wireless communication system, which jointly considers the inter-related communication parameters. We derive the stability region of the WNCS. If and only if the tuple of the communication parameters lies in the region, the average cost function, i.e., a performance metric of the WNCS, is bounded. We further obtain a necessary and sufficient condition under which the stability region is $n$-bounded, where $n$ is the control codeword blocklength. We also analyze the average cost function of the WNCS. Such analysis is non-trivial because the finite-bit control-signal quantizer introduces a non-linear and discontinuous quantization function which makes the performance analysis very difficult. We derive tight upper and lower bounds on the average cost function in terms of latency, data rate and reliability. Our analytical results provide important insights into the design of the optimal parameters to minimize the average cost within the stability region.
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