Expected Power Bound for Two-Dimensional Digital Filters in the Fornasini-Marchesini Local State-Space Model

被引：31

作者：

Ahn, Choon Ki ^{[1
]}

Kar, Haranath ^{[2
]}

机构：

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

[2] Motilal Nehru Natl Inst Technol Allahabad, Dept Elect & Commun Engn, Allahabad 211004, Uttar Pradesh, India

来源：

IEEE SIGNAL PROCESSING LETTERS | 2015年 / 22卷 / 08期

基金：

新加坡国家研究基金会;

关键词：

Expected power bound (EPB); Fornasini-Marchesini local state-space (FMLSS) model; two-dimensional (2-D) digital filter; Wiener process noise; 2-D DISCRETE-SYSTEMS; GLOBAL ASYMPTOTIC STABILITY; 2ND MODEL; ROESSER MODEL; OVERFLOW OSCILLATIONS; IMPROVED CRITERION; ROBUST STABILITY; ELIMINATION; L(2);

D O I：

10.1109/LSP.2014.2382764

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 letter examines the expected power bound (EPB) for two-dimensional (2-D) digital filters in the Fornasini-Marchesini local state-space (FMLSS) model with Wiener process noise. The goal of this letter is to establish a new criterion whereby 2-D digital filters in the FMLSS form have a 2-D EPB. The criterion also ensures asymptotic stability without Wiener process noise. A numerical example demonstrates the usefulness of the proposed result. The criterion in the letter and that in [1] provide a systematic framework for EPB of 2-D digital filters.

引用

页码：1065 / 1069

页数：5

共 50 条

[31] A state-space design of two-dimensional digital filters
Kawakami, A
ISIE'96 - PROCEEDINGS OF THE IEEE INTERNATIONAL SYMPOSIUM ON INDUSTRIAL ELECTRONICS, VOLS 1 AND 2, 1996, : 213 - 216
[32] STABILIZATION OF TWO-DIMENSIONAL NONLINEAR SYSTEMS DESCRIBED BY FORNASINI-MARCHESINI AND ROESSER MODELS
Pakshin, Pavel
Emelianova, Julia
Galkowski, Krzysztof
Rocers, Eric
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2018, 56 (05) : 3848 - 3866
[33] Design of Parametric Controller for Two-Dimensional Polynomial Systems Described by the Fornasini-Marchesini Second Model
Li, Xiaoxue
Hou, Xiaorong
IEEE ACCESS, 2019, 7 : 44070 - 44079
[34] Common eigenvector approach to exact order reduction for multidimensional Fornasini-Marchesini state-space models
Zhao, Dongdong
Yan, Shi
Matsushita, Shinya
Xu, Li
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2019, 50 (01) : 60 - 74
[35] Two-Dimensional Peak-to-Peak Filtering for Stochastic Fornasini-Marchesini Systems
Ahn, Choon Ki
Shi, Peng
Basin, Michael V.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2018, 63 (05) : 1472 - 1479
[36] A state-space realization form of two-dimensional digital filters
Kawakami, A
PROCEEDINGS OF THE 39TH MIDWEST SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOLS I-III, 1996, : 1409 - 1412
[37] Finite-frequency fault detection for two-dimensional Fornasini-Marchesini dynamical systems
Ren, Yingying
Ding, Da-Wei
Li, Qing
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2017, 48 (12) : 2610 - 2621
[38] A PROCEDURE FOR N-D FORNASINI-MARCHESINI STATE-SPACE MODEL REALIZATION BASED ON RIGHT MATRIX FRACTION DESCRIPTION
Matsushita, Shin-ya
Saito, Tatsuya
Xu, Li
2013 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING (ICASSP), 2013, : 6133 - 6137
[39] NEW STABILITY RESULTS FOR 2-D DISCRETE-SYSTEMS BASED ON THE FORNASINI-MARCHESINI STATE-SPACE MODEL
KANELLAKIS, A
IEE PROCEEDINGS-CIRCUITS DEVICES AND SYSTEMS, 1994, 141 (05): : 427 - 432
[40] REDUCED TRANSFER-MATRIX FROM THE MORE GENERAL 2D STATE-SPACE MODEL OF FORNASINI-MARCHESINI
MESSITER, M
SHAMASH, Y
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1987, 18 (04) : 735 - 738

← 1 2 3 4 5 →