Hu Jun, Li Jiaxing, Yan Huaicheng, Liu Hongjian
IEEE Trans Neural Netw Learn Syst. 2024 Dec;35(12):17742-17753. doi: 10.1109/TNNLS.2023.3308192. Epub 2024 Dec 2.
In this article, the optimized distributed filtering problem is studied for a class of saturated systems with amplify-and-forward (AF) relays via a dynamic event-triggered mechanism (DETM). The AF relays are located in the channels between sensors and filters to prolong the transmission distance of signals, where the transmission powers of sensors and relays can be described by a sequence of random variables with a known probability distribution. With the purpose of alleviating the communication burden and preventing data collision, the DETM is used to schedule the transmission cases of nodes by dynamically adjusting the triggered threshold according to the practical requirements. An upper bound matrix (UBM) of the filtering error (FE) covariance is first provided under the sense of variance constraint and the proper filter gain is further constructed via minimizing the proposed UBM. In addition, the boundedness evaluation regarding the trace of the UBM is provided. Finally, simulation experiments are used to illustrate the usefulness of the developed distributed recursive filtering scheme.
本文通过动态事件触发机制（DETM）研究了一类具有放大转发（AF）中继的饱和系统的优化分布式滤波问题。AF中继位于传感器和滤波器之间的信道中，以延长信号的传输距离，其中传感器和中继的发射功率可用具有已知概率分布的随机变量序列来描述。为了减轻通信负担并防止数据冲突，DETM用于根据实际需求动态调整触发阈值来调度节点的传输情况。首先在方差约束意义下给出滤波误差（FE）协方差的上界矩阵（UBM），并通过最小化所提出的UBM进一步构造合适的滤波器增益。此外，还给出了关于UBM迹的有界性评估。最后，通过仿真实验说明了所提出的分布式递归滤波方案的有效性。
