Two-Dimensional Dissipative Control and Filtering for Roesser Model

被引：333

作者：

Ahn, Choon Ki ^{[1
]}

Shi, Peng ^{[2
,3
]}

Basin, Michael V. ^{[4
,5
]}

机构：

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

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

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

[4] Autonomous Univ Nuevo Leon, Dept Phys & Math Sci, San Nicolas De Los Garza 66450, Mexico

[5] ITMO Univ, St Petersburg 197101, Russia

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2015年 / 60卷 / 07期

基金：

澳大利亚研究理事会; 新加坡国家研究基金会;

关键词：

Control and filtering; dissipativity; Roesser model; two-dimensional (2-D) system; 2-D DIGITAL-FILTERS; MARCHESINI 2ND MODEL; FORNASINI-MARCHESINI; STABILITY ANALYSIS; DYNAMICAL-SYSTEMS; LINEAR-SYSTEMS; OVERFLOW; ELIMINATION; CRITERION; L(2);

D O I：

10.1109/TAC.2015.2398887

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper investigates the problems of two-dimensional (2-D) dissipative control and filtering for a linear discrete-time Roesser model. First, a novel sufficient condition is proposed such that the discrete-time Roesser system is asymptotically stable and 2-D (Q, S, R)-alpha-dissipative. Special cases, such as 2-D passivity performance and 2-D H-infinity performance, and feedback interconnected systems are also discussed. Based on this condition, new 2-D (Q, S, R)-alpha-dissipative state-feedback and output-feedback control problems are defined and solved for a discrete-time Roesser model. The design problems of 2-D (Q, S, R)-alpha-dissipative filters of observer form and general form are also considered using a linear matrix inequality (LMI) approach. Two examples are given to illustrate the effectiveness and potential of the proposed design techniques.

引用

页码：1745 / 1759

页数：15

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