In this paper, we study wireless networked control systems in which the sensing devices are powered by energy harvesting. We consider a scenario with multiple plants, where the sensors communicate their measurements to their respective controllers over a shared wireless channel. Due to the shared nature of the medium, sensors transmitting simultaneously can lead to packet collisions. In order to deal with this, we propose the use of random access communication policies and, to this end, we translate the control performance requirements to successful packet reception probabilities. The optimal scheduling decision is to transmit with a certain probability, which is adaptive to channel and battery conditions. Moreover, we provide a stochastic dual method to compute the optimal scheduling solution, which is computed across sensors, with only some of the dual variables needed to be shared between nodes. Furthermore, we also consider asynchronicity in the values of the variables across sensor nodes and provide theoretical guarantees on the stability of the control systems under the proposed random access mechanism. Finally, we provide extensive numerical results that corroborate our claims.

中文翻译：

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带有能量收集传感器的无线控制系统的随机访问通信

在本文中，我们研究了无线网络控制系统，其中传感设备由能量收集供电。我们考虑具有多个工厂的场景，其中传感器通过共享的无线信道将其测量结果传达给各自的控制器。由于介质的共享特性，传感器同时传输可能会导致数据包冲突。为了解决这个问题，我们建议使用随机访问通信策略，为此，我们将控制性能要求转换为成功的数据包接收概率。最优调度决策是以一定的概率进行传输，适应信道和电池条件。此外，我们提供了一种随机对偶方法来计算最佳调度解决方案，该解决方案是跨传感器计算的，只需要在节点之间共享一些对偶变量。此外，我们还考虑了跨传感器节点的变量值的异步性，并为所提出的随机访问机制下控制系统的稳定性提供了理论保证。最后，我们提供了广泛的数值结果来证实我们的主张。