Applying an event-triggered protocol, this paper proposes a distributed H_∞ filter design for nonlinear perturbed systems under fading measurements with random topology. Nonlinearities in this system obey the one-sided Lipschitz constraint, which embraces the conventional Lipschitz condition as a special case. The sensor network allows random variations of the interconnection strengths between adjacent nodes, and the connection coefficient is determined as the product of a constant and a stochastic variable with a known probabilistic feature. To reduce the unnecessary data transmission and efficiently use the limited bandwidth, the transmissions are orchestrated by an event-triggered regulating strategy. A stochastic bounded real lemma is established for the resulting error dynamics. Based on the presented matrix decomposition, which removes the direct coupling between the statistical information of interconnection strengths and the filter gain, the distributed H_∞ filter gain can be explicitly expressed and easily solved. The usefulness of the theoretical method is demonstrated in a simulation study.

应用事件触发协议，本文提出了一种分布式H _∞随机拓扑衰减测量下非线性扰动系统的滤波器设计。该系统中的非线性服从单边 Lipschitz 约束，它包含传统的 Lipschitz 条件作为特例。传感器网络允许相邻节点之间的互连强度随机变化，并且连接系数被确定为常数和具有已知概率特征的随机变量的乘积。为了减少不必要的数据传输并有效地使用有限的带宽，传输由事件触发的调节策略来协调。为产生的误差动态建立了一个随机有界实引理。基于提出的矩阵分解，H _∞滤波器增益可以明确表示并易于求解。在模拟研究中证明了理论方法的有效性。