时变时滞不确定离散奇异切换系统的鲁棒H_∞滤波  

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

作　　者：张华平[1,2] 张健鹏[3] 马树萍[4] 范洪达[1] 

机构地区：[1]海军航空工程学院电子信息工程系,山东烟台264001 [2]烟台大学网络与教育技术中心,山东烟台264005 [3]海军航空工程学院研究生管理大队,山东烟台264001 [4]山东大学数学学院,山东济南250100

出　　处：《山东大学学报（理学版）》2012年第7期59-69,共11页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(61074037)

摘　　要：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~ 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.

关 键 词：H∞滤波 离散奇异切换系统 时变时滞 不确定 线性矩阵不等式(LMI) 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]