标题： 无线网络化控制系统的可稳定性和可靠性关系分析 显示英文标题

标题： An Analysis on Stabilizability and Reliability Relationship in Wireless Networked Control Systems

摘要： 无线网络控制系统(WNCSs)的可稳定性的确定性二值参数被证明在通信数据速率高于开环控制系统的不稳定特征值的对数之和时成立。 在此分析中，假设通信系统在传感器和控制器之间提供固定的确定性传输速率。 由于通信信道的随机参数，如小尺度衰落，瞬时速率是一个固有的随机参数。 从这个意义上说，在文献中通常的做法是使用确定性的遍历速率来分析渐近可稳定性的。 理论上，文献中没有研究探讨如何将遍历速率纳入渐近可稳定性的分析中。 考虑到信道参数的随机性，我们引入了通过将通信链路可靠性与系统的不稳定特征值相结合的可稳定性的概率概念，并推导出一个闭式表达式来量化这一指标。 提供了数值结果以可视化通信和控制系统参数如何影响整体系统的可稳定性的概率。 显示英文摘要

摘要： The stabilizability of wireless networked control systems (WNCSs) is a deterministic binary valued parameter proven to hold if the communication data rate is higher than the sum of the logarithm of unstable eigenvalues of the open-loop control system. In this analysis, it is assumed that the communication system provides a fixed deterministic transmission rate between the sensors and controllers. Due to the stochastic parameters of communication channels, such as small-scale fading, the instantaneous rate is an intrinsically stochastic parameter. In this sense, it is a common practice in the literature to use the deterministic ergodic rate in analyzing the asymptotic stabilizability. Theoretically, there exists no work in the literature investigating how the ergodic rate can be incorporated into the analysis of asymptotic stabilizability. Considering the stochastic nature of channel parameters, we introduce the concept of probability of stabilizability by interconnecting communication link reliability with the system's unstable eigenvalues and derive a closed-form expression that quantifies this metric. Numerical results are provided to visualize how communication and control systems' parameters affect the probability of stabilizability of the overall system.