受有线无线异构网络诱导延时和数据丢包约束的分布式网络化H_2/H_∞滤波研究

Distributed H_2/H_∞ Filtering for Hybrid Wired-wireless Networked Systems with Network-induced Delays and Packet Losses Constraints

针对分布式有线无线异构网络化滤波系统中部署在不同地理空间的多传感器通过无线网络与每个局部融合中心通信,然后测量数据被传到网关并进行协议转换后通过有线网络传输到对应的分布式滤波器,会导致数据传输出现分布式有线无线网络诱导延时和数据丢包,使得H2/H∞滤波更加困难的问题,本文首先采用有向图描述分布式传感器节点的通信拓扑,然后运用Markov链和伯努利分布分别刻画分布式有线无线网络诱导延时和数据丢包特性,进而建立了融合分布式滤波器参数、有线无线异构网络通信约束的普适滤波误差动态系统综合模型.理论上证明了在分布式有线无线异构网络通信约束下所设计的滤波器使得滤波误差动态系统随机稳定且满足给定的H2/H∞性能指标,并建立了系统随机稳定性、分布式滤波器参数及最长有线无线网络诱导延时和数据丢包之间的关系.最后,仿真实例验证了本文所提方法是可行且有效.

In distributed hybrid wired-wireless networked filtering systems, distributed sensors communicate with local fusion centers through the wireless network. The measured signals from sensors are then transmitted to gateways where they are converted to the corresponding wired network format, which are further transmitted to the filters through the wired network. This might suffer from distributed network-induced delays and packet losses of hybrid wired-wireless networks, making H2/H∞filtering more difficult. To solve these problems, directed graph is firstly used to describe the communication topology of distributed sensor nodes, and different Markov chains and Bernoulli processes are employed to describe the characters of distributed network-induced delays and packet losses of hybrid wired-wireless networks,respectively. A general filtering error dynamic system model containing distributed filtering parameters and communication constraints of hybrid wired-wireless networks is then proposed. The designed filters enable the filtering error dynamic system to be stochastically stable and to achieve a prescribed H2/H∞performance, and the relationships among the stochastic stability criteria, distributed filter parameters, maximum network-induced delays and packet losses of hybrid wired-wireless networks are further established. Finally, simulation results confirm the feasibility and effectiveness of the proposed method.