Robust stability of 2-D digital filters employing saturation

Author

Singh, Vimal

Author_Institution

Dept. of Electr.-Electron. Eng., Atilim Univ., Ankara, Turkey

Volume

12

Issue

2

fYear

2005

Firstpage

142

Lastpage

145

Abstract

A computationally tractable, i.e., linear matrix inequality (LMI)-based criterion for the global asymptotic stability of uncertain two-dimensional digital filters described by the Fornasini-Marchesini second local state-space model with saturation overflow arithmetic is presented. The criterion is compared with an earlier LMI-based criterion.

Keywords

Lyapunov methods; asymptotic stability; discrete systems; linear matrix inequalities; roundoff errors; signal processing; two-dimensional digital filters; uncertain systems; 2-D digital filters; FMSLSS; Fornasini-Marchesini second local state-space model; LMI; Lyapunov method; finite wordlength effect; global asymptotic stability; linear matrix inequality; robust stability; saturation overflow arithmetic; uncertain system; Asymptotic stability; Digital arithmetic; Digital filters; Linear matrix inequalities; Lyapunov method; Quantization; Robust stability; Uncertain systems; Uncertainty; Water heating; 2-D discrete systems; Asymptotic stability; Lyapunov methods; finite wordlength effects; linear matrix inequality; uncertain systems;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/LSP.2004.839704

Filename

1381471