Hankel Norm Performance of Digital Filters Associated With Saturation

被引：13

作者：

Ahn, Choon Ki ^{[1
]}

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

机构：

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

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

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

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

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2017年 / 64卷 / 06期

基金：

新加坡国家研究基金会;

关键词：

Digital filter; Hankel norm performance; memory effect; saturation; STABILITY ANALYSIS; OVERFLOW OSCILLATIONS; INPUT RESPONSE; H-INFINITY; SYSTEMS; MODEL; CRITERION; FORM; ELIMINATION; L(2);

D O I：

10.1109/TCSII.2016.2600499

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 proposes a new approach to the examination and reduction of the undesired memory effect of digital filters joined with saturation, which is known as system ringing. A new criterion is established to ascertain the Hankel norm performance of digital filters joined with saturation. Using this criterion, it is possible to check the reduction of undesired responses of the filters to past excitations. The asymptotic stability for the digital filters is ensured without external input under the proposed criterion. Three improved criteria for the Hankel norm performance of digital filters are also presented based on the diagonally dominant matrix approach. A numerical simulation shows the usefulness of the developed method.

引用

页码：720 / 724

页数：5

共 29 条

[1] Novel Results on Generalized Dissipativity of Two-Dimensional Digital Filters [J].

Ahn, Choon Ki ;

Shi, Peng ;

Karimi, Hamid Reza .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2016, 63 (09) :893-897

[2] Stochastic stability analysis for 2-D Roesser systems with multiplicative noise [J].

Ahn, Choon Ki ;

Wu, Ligang ;

Shi, Peng .

AUTOMATICA, 2016, 69 :356-363

[3] Generalized Dissipativity Analysis of Digital Filters With Finite-Wordlength Arithmetic [J].

Ahn, Choon Ki ;

Shi, Peng .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2016, 63 (04) :386-390

[4] Passivity and Finite-Gain Performance for Two-Dimensional Digital Filters: The FM LSS Model Case [J].

Ahn, Choon Ki ;

Kar, Haranath .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2015, 62 (09) :871-875

[5] Two-Dimensional Dissipative Control and Filtering for Roesser Model [J].

Ahn, Choon Ki ;

Shi, Peng ;

Basin, Michael V. .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (07) :1745-1759

[6] l2 - l∞ Suppression of Limit Cycles in Interfered Two-Dimensional Digital Filters: A Fornasini-Marchesini Model Case [J].

Ahn, Choon Ki .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2014, 61 (08) :614-618

[7] l2 - l∞ Elimination of Overflow Oscillations in 2-D Digital Filters Described by Roesser Model With External Interference [J].

Ahn, Choon Ki .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2013, 60 (06) :361-365

[8]

Ahn CK, 2012, INT J INNOV COMPUT I, V8, P1453

[9] Delay-dependent Robust H∞ and L2-L∞ filtering for a class of uncertain nonlinear time-delay systems [J].

Gao, HJ ;

Wang, CH .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (09) :1661-1666

[10] ALL OPTIMAL HANKEL-NORM APPROXIMATIONS OF LINEAR-MULTIVARIABLE SYSTEMS AND THEIR L INFINITY-ERROR BOUNDS [J].

GLOVER, K .

INTERNATIONAL JOURNAL OF CONTROL, 1984, 39 (06) :1115-1193

← 1 2 3 →