Condition of the elimination of overflow oscillations in two-dimensional digital filters with external interference

被引：9

作者：

Shen, Hao ^{[1
,2
]}

Wang, Jing ^{[1
]}

Park, Ju H. ^{[2
]}

Wu, Zheng-Guang ^{[3
]}

机构：

[1] Anhui Univ Technol, Sch Elect & Informat Engn, Maanshan 243002, Peoples R China

[2] Yeungnam Univ, Dept Elect Engn, Kyongsan 712749, South Korea

[3] Zhejiang Univ, Inst Cyber Syst & Control, Natl Lab Ind Control Technol, Hangzhou 310027, Zhejiang, Peoples R China

来源：

IET SIGNAL PROCESSING | 2014年 / 8卷 / 08期

基金：

新加坡国家研究基金会; 中国国家自然科学基金;

关键词：

digital filters; matrix algebra; two-dimensional digital filters; external interference; elimination of overflow oscillations; generalised dissipativity property; harmonic slack matrices; H EOO; passive EOO; l(2)-l EOO; MARCHESINI 2ND MODEL; GLOBAL ASYMPTOTIC STABILITY; ROBUST STABILITY; ROESSER MODEL; SYSTEMS; CRITERION;

D O I：

10.1049/iet-spr.2013.0495

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This study is concerned with the problem of the elimination of overflow oscillations (EOOs) for two-dimensional (2D) digital filters with external interference. The main purpose is the presentation of a new unified criterion such that the underlying 2D digital filter is stable with a positive prescribed interference attenuation level. A performance index is proposed for the first time, which is referred to as generalised dissipativity property. By using this index and two harmonic slack matrices, a novel criterion is established, which can be used to solve H EOOs, passive EOOs and l(2)-l EOOs for 2D digital filters with external interference in a unified framework, and reduce the conservatism of the existing results. The effectiveness of the criterion is demonstrated by a numerical example.

引用

页码：885 / 890

页数：6

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