This article studies the optimal filtering and control for wireless networked control systems (WNCSs). In WNCSs, packets may be lost in both control and feedback channels and user datagram protocol is usually used to improve the performance of the real‐time control. Relevant literature indicates that the conventional optimal filtering for such a system cannot be applied in practice due to the complex calculation with Gaussian mixtures. This paper proposes a novel scheme to realize the optimal filtering and the linear quadratic Gaussian control for WNCSs, in which the controlled node performs a local estimation and the remote‐control node performs the final estimation and control, and a synchronization of two estimators is guaranteed by a communication mechanism. An optimal filtering algorithm is developed, the stability condition of the filtering error covariance is obtained, optimal finite‐horizon and infinite‐horizon control are derived, and the stability of the closed‐loop control system is proved. Numerical simulations show the validity and feasibility of the theoretical results.

中文翻译：

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无线网络闭环控制系统的最佳过滤和控制

本文研究了无线网络控制系统（WNCS）的最佳过滤和控制。在WNCS中，数据包可能会在控制和反馈通道中丢失，因此通常使用用户数据报协议来提高实时控制的性能。相关文献表明，由于使用高斯混合进行复杂的计算，因此无法在实践中应用此类系统的常规最佳滤波。本文提出了一种新的方案来实现WNCS的最优滤波和线性二次高斯控制，其中受控节点执行局部估计，远程控制节点执行最终估计和控制，并保证两个估计器的同步。通过沟通机制。开发了一种最佳的过滤算法，得到了滤波误差协方差的稳定条件，推导了最优水平和无限水平控制，证明了闭环控制系统的稳定性。数值模拟表明了理论结果的有效性和可行性。