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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H∞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H∞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。
The problem of robust H∞ filtering for discrete singular singular switched systems with time-varying delays and uncertain parameters is studied. Equivalent transformation of the constrained system and introduction of new state variables are used to convert the singular filtering error system in question into a time-delay discrete standard switching system. Then a new Lya-punov-Krasovskii function is constructed. By discussing the transformed system, the sufficient conditions for determining the regular, causal and consistent asymptotic stability of the system are obtained by using the linear matrix inequalities, and the filter design method that satisfies the H∞ performance for the allowed uncertainties is obtained. The results obtained are less conservative. Finally, numerical examples show the effectiveness of the proposed method.