基于自适应事件触发的时滞系统分布式${l_2}text{-}{l_infty}$滤波

研究一类基于自适应事件触发机制的时滞系统分布式滤波问题.自适应事件触发条件由滤波器自身最新释放数据、当前时刻估计值及邻居节点最新释放数据共同决定.此事件触发机制采用阈值自适应调节方案,阈值参数在保证滤波器性能的前提下根据滤波误差动态变化,最大程度上节约网络通信资源.首先,给出滤波误差系统均方指数稳定的充分条件;其次,构造一个Lyapunov函数来分析滤波误差系统满足l2-l∞的性能指标;再次,设计离散时滞系统分布式l₂-l_∞滤波器,并通过线性矩阵不等式方法求解滤波器参数;最后,通过仿真实例说明滤波器能够降低系统时滞带来的影响,且在保证滤波性能前提下减少通信次数,节约网络资源.

Distributed ${l_2

This paper studies the distributed filtering problem for time-delay systems under an adaptive event-trigger mechanism. An adaptive event trigger mechanism relies on the latest data released and an approximate value estimated by the filter, and the latest data from the neighbor filters. The threshold of the mechanism changes adaptively to minimize the filtering error in order to ensure the high performance of filtering and reduces the network resources consumption as much as possible. Firstly, this paper presents the sufficient conditions that stabilize the exponential mean-square of the filtering error manage system. Secondly, a Lyapunov function is constructed to analyze required performance when the filtering error manage system reaches the ${l_2