Mixed H∞ and passive filtering for a class of singular systems with interval time-varying delays

被引：14

作者：

Liu, Guobao ^{[1
]}

Ma, Qian ^{[1
]}

Lu, Junwei ^{[2
]}

Li, Yongmin ^{[3
]}

Xu, Shengyuan ^{[1
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China

[2] Nanjing Normal Univ, Sch Elect & Automat Engn, Nanjing, Jiangsu, Peoples R China

[3] Huzhou Teachers Coll, Sch Sci, Huzhou, Peoples R China

来源：

OPTIMAL CONTROL APPLICATIONS & METHODS | 2018年 / 39卷 / 01期

基金：

中国国家自然科学基金;

关键词：

LMIs; mixed H-infinity and passive filtering; singular systems; time-varying delays; Wirtinger-based integral inequality; MARKOVIAN JUMP SYSTEMS; NEURAL-NETWORKS; DISSIPATIVITY ANALYSIS; EXPONENTIAL STABILITY; DISCRETE; STABILIZATION;

D O I：

10.1002/oca.2352

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper deals with the problem of mixed H-infinity and passive filtering for a class of singular systems with interval time-varying delays. First, by combining the Wirtinger-based integral inequality with the reciprocally convex inequality, sufficient delay-range-dependent conditions are obtained in terms of strict linear matrix inequalities to ensure that the considered singular system is admissible with a mixed H-infinity and passivity performance level. Then, based on a matrix transformation technique and employing several free scalars, more flexible strict linear matrix inequality based conditions are proposed to get the desired filter. Finally, 2 numerical examples are given to show less conservatism and the effectiveness of the results.

引用

页码：377 / 392

页数：16

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