带有网络诱导时延的分布式H_∞一致性滤波

Distributed H_∞ consensus filtering with network-induced delays

研究事件触发通讯机制下带有网络诱导时延的一类网络化线性系统的分布式H∞一致性滤波问题.基于一类分布式事件触发策略并考虑有界网络诱导时延的影响,提出一类网络化分布式一致性滤波协议,将分布式网络化滤波误差系统建模为一个带有多重区间时变时延的时滞系统.利用多重时延的上下界构造一类Lyapunov-Krasovskii泛函,以线性矩阵不等式形式给出事件触发通讯机制下分布式H∞一致性滤波性能判据和滤波器参数的设计方法.最后通过数值例子说明本文所提方法的有效性.

The problem of distributed H ∞ consensus filtering for a class of networked linear systems with network-induced delays under an event-triggered communication scheme is inves-tigated.Using the distributed event-triggered communication scheme and taking bounded net-work-induced delays into account,a distributed consensus filtering protocol is proposed and the resulting distributed network-based filtering error system is modeled as a linear system with multiple interval time-varying delays.A Lyapunov-Krasovskii functional which makes use of information about the lower and upper bounds of the interval time-vary delays is constructed to establish a performance criterion for distributed H ∞ consensus filtering and a design method of filtering parameters under the event-triggered communication scheme in terms of linear matrix inequalities.Finally,a numerical example is given to illustrate the effectiveness of the proposed method.