Generalized Dissipativity Analysis of Digital Filters With Finite-Wordlength Arithmetic

被引：40

作者：

Ahn, Choon Ki ^{[1
]}

Shi, Peng ^{[2
,3
,4
]}

机构：

[1] Korea Univ, Sch Elect Engn, Seoul 136701, South Korea

[2] Univ Adelaide, Sch Elect & Elect Engn, Adelaide, SA 5005, Australia

[3] Victoria Univ, Coll Engn & Sci, Melbourne, Vic 8001, Australia

[4] Harbin Engn Univ, Coll Automat, Harbin 150001, Peoples R China

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2016年 / 63卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

Digital filter; feedback interconnection; finite-wordlength arithmetic; generalized dissipativity; OVERFLOW OSCILLATIONS; ROESSER MODEL; STABILITY; ELIMINATION; SYSTEMS; CRITERION; L(2);

D O I：

10.1109/TCSII.2015.2503578

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 brief investigates the generalized dissipativity of digital filters with finite-wordlength arithmetic. First, a new sufficient condition is proposed to guarantee the generalized dissipativity of single digital filters with finite-wordlength arithmetic. Unlike the existing works in the literature, this brief presents criteria for H-infinity performance, l(2)-l(infinity) performance, passivity, and (Q, S, R)-alpha-dissipativity in a unified framework. Based on this result, we examine the generalized dissipativity of feedback interconnected digital filters as well as the asymptotic stability of unforced feedback interconnected digital filters. A numerical example demonstrates the effectiveness of the obtained approach.

引用

页码：386 / 390

页数：5

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