具有随机时变时滞及数据包丢失的网络系统H_∞状态估计

H_∞ state estimation for network systems with random varying time delays and data packet dropouts

研究了一类具有随机时变时滞和数据包丢失的网络系统H∞滤波器设计问题。由于系统的测量数据打包后经过网络传输到远端的滤波器,数据包在传输过程中会发生时滞甚至丢失等现象,并且时滞的发生是随机的且有界,而数据丢包可能是连续的。提出一个新的模型来同时描述随机时滞和多丢包的网络诱导现象,并基于此模型设计使滤波误差系统均方意义下渐近稳定并具有指定H∞性能的滤波器。滤波器参数通过求解一个线性矩阵不等式得到。仿真算例表明了所提算法的有效性。

This paper investigates the H∞ filter design problem for a class of network systems with random varying time delays and data packet dropouts .Because the measured output of the system is transmitted through networks to the remote filter after data packing ,the data packet will unavoidably be received with delays even be lost during the transmission .Moreover ,the time delay occurs randomly and it is bounded and the data packet may be lost consecutively .A new model is presented to describe the network induced phenomena of random delays and multiple packet dropouts simultaneously in this paper .Based on the new model ,an H∞ filter is designed to make the filtering error system asymptotically stable in the mean‐square sense and guarantee a prescribed H∞ performance .The parameters of the filter are obtained by solving the linear matrix inequality （LMI） . The numerical example is given to illustrate the effectiveness of the proposed method .