Stability analysis for digital filters with multiple saturation nonlinearities

被引：21

作者：

Shen, Tao ^{[1
]}

Yuan, Zhugang ^{[1
]}

Wang, Xiaohong ^{[1
]}

机构：

[1] Univ Jinan, Sch Control Sci & Engn, Jinan 250022, Peoples R China

来源：

AUTOMATICA | 2012年 / 48卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Stability; Digital filters; Nonlinear systems; Saturation nonlinearity; DISCRETE-TIME-SYSTEMS; LIU-MICHELS CRITERION; OVERFLOW OSCILLATIONS; STATE-SPACE; ASYMPTOTIC STABILITY; ELIMINATION; FORM; OPERATOR;

D O I：

10.1016/j.automatica.2012.06.085

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A new stability criterion for digital filters with multiple saturation nonlinearities is presented in the form of a linear matrix inequality. Numerical examples are given to show the effectiveness of the results obtained. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：2717 / 2720

页数：4

共 14 条

[1] OVERFLOW OSCILLATIONS IN DIGITAL FILTERS [J].

EBERT, PM ;

MAZO, JE ;

TAYLOR, MG .

BELL SYSTEM TECHNICAL JOURNAL, 1969, 48 (09) :2999-+

[2] A SEPARATION THEOREM FOR FINITE PRECISION DIGITAL-FILTERS [J].

JOHNSON, KK ;

SANDBERG, IW .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1995, 42 (09) :541-545

[3]

Kar H, 2004, IEEE T CIRCUITS-II, V51, P40, DOI [10.1109/TCSII.2003.821526, 10.1109/tcsii.2003.821526]

[4] Elimination of overflow oscillations in digital filters employing saturation arithmetic [J].

Kar, H ;

Singh, V .

DIGITAL SIGNAL PROCESSING, 2005, 15 (06) :536-544

[5] An LMI based criterion for the nonexistence of overflow oscillations in fixed-point state-space digital filters using saturation arithmetic [J].

Kar, Haranath .

DIGITAL SIGNAL PROCESSING, 2007, 17 (03) :685-689

[6] An improved version of modified Liu-Michel's criterion for global asymptotic stability of fixed-point state-space digital filters using saturation arithmetic [J].

Kar, Haranath .

DIGITAL SIGNAL PROCESSING, 2010, 20 (04) :977-981

[7] ASYMPTOTIC STABILITY OF DISCRETE-TIME-SYSTEMS WITH SATURATION NONLINEARITIES WITH APPLICATIONS TO DIGITAL-FILTERS [J].

LIU, DR ;

MICHEL, AN .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1992, 39 (10) :798-807

[8] Stability of linear discrete dynamics employing state saturation arithmetic [J].

Ooba, T .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (04) :626-630

[9] Stability of Discrete-Time Systems Joined With a Saturation Operator on the State-Space [J].

Ooba, Tatsushi .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (09) :2153-2155

[10] Stability analysis for a class of digital filters with single saturation nonlinearity [J].

Shen, Tao ;

Wang, Xiaohong ;

Yuan, Zhugang .

AUTOMATICA, 2010, 46 (12) :2112-2115

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