网络化系统的分布式H_∞滤波

Distributed H_∞ Filtering for Networked Systems

对网络化系统的分布式H∞滤波问题进行了研究.利用输入时滞方法对网络化分布式滤波系统建立了模型,模型中考虑了分布式滤波器之间离散信号传输的特点.与现有文献中对分布式滤波器之间采用连续信号传输的模型相比,采用离散信号传输的模型提高了系统的可行性.当分布式滤波器对应连通图为弱连通时,应用Lyapunov-Krasovskii稳定性理论对滤波误差系统的H∞性能进行了分析,并通过线性矩阵不等式(LMI)技术给出了分布式H∞滤波器的设计方法.最后通过数值例子说明了所给方法的有效性.

The problem of distibuting H~ filtering for networked systems is studied. Using the input delay ap- proach, the model of the networked distributed filtering system is established, where the discrete signal trans- mission mode is used. Compared with some existing models which uses continuous signal transmission mode, the model in this paper is more practical. When the graph of the distributed filters is weakly connected, using Lyapunov-Krasovskii stability theory, the H∞ performance analysis of the distributed filtering error system is established. The design method of the distributed H∞ filters is obtained through linear matrix inequality （LMI） technique. At last, a numerical example is given to illustrate the effectiveness of the proposed method.