随机时延网络化不确定系统的鲁棒H∞滤波

研究了一类具有随机时延的网络化不确定系统的 H∞ 滤波器设计问题. 这类时延的产生是由于传感器和滤波器通过有限带宽的网络连接而引起的系统测量数据的滞后, 而且它是随机发生的. 本文采用满足 Bernoulli 分布随机变量来描述测量数据的这种随机时延. 利用线性矩阵不等式, 给出了全阶和降阶的滤波器存在的充分条件. 所设计的滤波器使得滤波误差系统是均方指数稳定且具有给定的H∞ 性能. 数值仿真表明设计方法的有效性.

Robust H∞ Filtering for Networked Uncertain Systems with Random Time Delays

This paper deals with an H_∞ filter design problem for networked uncertain systems with random time delays. As the sensors and filters are connected via a limited bandwidth communication channel, a system's measurements are often subject to randomly varying delays. And the delays are assumed to be the linear functions of the stochastic variables that satisfy Bernoulli random binary distribution. The sufficient conditions for the existence of full- and reduced-order filters are presented, thus, guaranteeing that the filter error systems are exponentially mean-square stable and have a prescribed H_∞ disturbance attenuation level via linear matrix inequalities (LMIs). A numerical example is provided to demonstrate the validity of the proposed design approach.