l2-l∞ filter design for discrete-time singular Markovian jump systems with time-varying delays

被引：103
作者：
Wu, Zheng-Guang [1 ]
Shi, Peng [2 ,3 ]
Su, Hongye [1 ]
Chu, Jian [1 ]
机构：
[1] Zhejiang Univ, Inst Cyber Syst & Control, Natl Lab Ind Control Technol, Hangzhou 310027, Zhejiang, Peoples R China
[2] Univ Glamorgan, Dept Comp & Math Sci, Pontypridd CF37 1DL, M Glam, Wales
[3] Victoria Univ, Sch Sci & Engn, Melbourne, Vic 8001, Australia
来源：
INFORMATION SCIENCES | 2011年 / 181卷 / 24期
基金：
国家高技术研究发展计划(863计划); 英国工程与自然科学研究理事会;
关键词：
Singular systems; Markovian jump systems; Delay-dependent; l(2)-l(infinity) filtering; Linear matrix inequality; H-INFINITY CONTROL; LINEAR-SYSTEMS; PERTURBED SYSTEMS; STOCHASTIC-SYSTEMS; DISTRIBUTED DELAYS; STABILITY ANALYSIS; ROBUST STABILITY; UNCERTAINTIES; PARAMETERS; NETWORKS;
D O I：
10.1016/j.ins.2011.07.052
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The problem of l(2)-l(infinity) filter design for discrete-time singular systems with Markovian jump and time-varying delays is investigated in this paper. By using the delay partitioning technique, a delay-dependent condition is established to guarantee the filtering error systems to be stochastically admissible and achieve a prescribed l(2)-l(infinity) performance index. Based on the derived condition, the full-order and reduced-order filters with mode-independent characterization are designed in a unified framework. The corresponding filter parameters can be obtained by solving a set of linear matrix inequalities. The reported results not only depend upon the delay, but also depend upon the partitioning, which aims at reducing the conservatism. Two numerical examples are provided to illustrate the effectiveness of the proposed methods. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：5534 / 5547
页数：14
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