An Improved Stability Criterion for Digital Filters With Generalized Overflow Arithmetic and Time-Varying Delay

被引：15

作者：

Zhang, Chuan-Ke ^{[1
,2
]}

Xie, Ke-You ^{[1
,2
]}

He, Yong ^{[1
,2
]}

Wang, Qing-Guo ^{[3
]}

Wu, Min ^{[1
,2
]}

机构：

[1] China Univ Geosci, Sch Automat, Wuhan 430074, Peoples R China

[2] Hubei Key Lab Adv Control & Intelligent Automat C, Wuhan 430074, Peoples R China

[3] Univ Johannesburg, Inst Intelligent Syst, ZA-2092 Johannesburg, South Africa

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2020年 / 67卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Stability criteria; Numerical stability; Symmetric matrices; Delays; Asymptotic stability; Circuit stability; Fixed-point state-space digital filter; asymptotic stability; generalized overflow arithmetic; time-varying delay; LOAD FREQUENCY CONTROL; ASYMPTOTIC STABILITY; DISSIPATIVITY ANALYSIS; ROBUST STABILITY; SYSTEMS; INEQUALITY; FORM;

D O I：

10.1109/TCSII.2019.2950165

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 concerns the stability of fixed-point state-space digital filters with generalized overflow arithmetic and a time-varying delay. A relaxed lemma that includes a commonly used lemma as a special case is developed to show the relationship between the state and the overflow arithmetic, and a Lyapunov functional with positive-definite conditions that are more relaxed than usual is constructed. As a result, a less conservative stability criterion is established, and the efficiency and merit of the criterion are illustrated with a numerical example.

引用

页码：2099 / 2103

页数：5

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