时变时滞不确定离散奇异切换系统的鲁棒H∞滤波

研究了含参数不确定的时变时滞离散奇异切换系统的鲁棒日。滤波问题。利用受限系统等价变换和引进新状态变量，将所讨论的奇异滤波误差系统等价转换为时滞离散标准切换系统。然后构建了一个新颖的Lya-punov-Krasovskii函数。通过对转换后的系统进行讨论，采用线性矩阵不等式形式得到了判定系统正则、因果和一致渐近稳定的充分条件，以及对所允许的不确定性满足以性能的滤波器设计方法。所得到的结果具有较小的保守性。最后，通过数值算例验证了本文方法的有效性。

Robust H∞ filter design for discrete-time singular switched systems with uncertainties and time-varying delays

The problem of robust H~ filter design for discrete-time singular switched systems with parametric uncertainties and time-varying delays is discussed. Based on the restricted system equivalent （r. s. e. ） transformation and by introducing new state vectors, the singular filtering error system is transformed into a time-delay standard switched system. The transformed system is then discussed by constructing a novel Lyapunov-Krasovskii functional. A sufficient condition for the filtering error system to be regular, causal and uniformly asymptotically stable and to satisfy H∞ performance for all admissible uncertainties is established in terms of linear matrix inequalities （ LMIs）, and the corre- sponding filter design is derived. The obtained results are less conservative. A numerical example is given which illustrates the effectiveness of the new theory.