研究了具有随机时滞和丢包的网络系统的最优线性估计问题.本文通过两个满足Bernoulli分布的随机变量来描述网络数据传输中可能存在的一步随机滞后和多丢包现象.并基于新息分析方法,提出了线性最小方差下的最优线性状态滤波器、预报器和平滑器.它们通过解一个Riccati方程和一个Lyapunov方程得到.最后,给出了稳态估值器存在的一个充分条件.并通过仿真例子验证其有效性.%This paper is concerned with optimal linear estimation problem for networked systems with random delays and packet dropouts. Two Bernoulli distributed random variables are employed to describe the phenomena of possible one-step random delay and multiple packet dropouts in data transmission by networks. Based on an innovative analysis approach, the optimal linear filter, predictor and smoother for the state are presented in a linear minimum variance sense. They are solved based on a Riccati equation and a Lyapunov equation. A sufficient condition for the existence of the steady-state estimators is given. A simulation example verifies their effectiveness.
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