具有数据包丢失的网络控制系统的估计问题

主要考虑了具有数据包丢失的网络控制系统(NCSs)的估计问题。首先,给出经典的卡尔曼滤波估计器和协方差矩阵。当量测方程带有噪声时,通过递推的方法严格推导出最优估计(条件期望)。另外,根据系统丢包行为能否被观测到的估计问题,分情况进行讨论。最后,在实际应用中开发了一个次优的近似估计器。这对在大的有限域下研究具有数据包丢失的网络控制系统有所帮助,也为进一步分析网络控制系统的问题提供了研究方向。

Estimation for Networked Control Systems with Packet Losses

In this paper,we mainly investigated the estimation of networked control systems(NCSs)with packet losses.Firstly,we introduced the classical Kalman filter estimator and the covariance matrix.When the measurement equation is with noise,we give the optimal estimator.The optimal estimator is strictly calculated by the recursive method.Moreover,according to whether the packet loss process can be observed,we discussed the estimation problem.Finally,for the application,a simple sub-optimal approximation estimator was developed.It will be helpful to study the NCSs with packet losses in large finite horizon,and provides the research direction for further analyzing the problem of NCSs.