Fault Diagnosability Analysis of Two-Dimensional Linear Discrete Systems

被引：27

作者：

Zhao, Dong ^{[1
]}

Ahn, Choon Ki ^{[2
]}

Paszke, Wojciech ^{[3
]}

Fu, Fangzhou ^{[4
,5
]}

Li, Yueyang ^{[6
]}

机构：

[1] Univ Cyprus, Dept Elect & Comp Engn, KIOS Res & Innovat Ctr Excellence, CY-1678 Nicosia, Cyprus

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

[3] Univ Zielona Gora, Inst Control & Computat Engn, PL-65516 Zielone, Gora, Poland

[4] CAST, BICE, Beijing 100190, Peoples R China

[5] Sun Yat Sen Univ, Sch Aeronaut & Astronaut, Guangzhou 510006, Peoples R China

[6] Univ Jinan, Sch Elect Engn, Jinan 250022, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2021年 / 66卷 / 02期

基金：

新加坡国家研究基金会; 中国国家自然科学基金;

关键词：

Fault detectability; fault isolability; Kullback-Leibler divergence; parity relation; two-dimensional systems;

D O I：

10.1109/TAC.2020.2986054

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this article, a systematic fault diagnosability evaluation, including fault detectability and isolability, is established in a quantitative manner for two-dimensional systems. With ingenious data formulation, a parity relation of two-dimensional systems is first established, then the Kullback-Leibler divergence is employed as the key measure for the diagnosability analysis based on the established parity relation. The basic idea is to quantify the distribution differences among each fault scenario-related system dynamic behavior. Explicit necessary and sufficient condition for fault diagnosability is further derived based on the appropriately introduced definitions corresponding to the two directions evolving system properties. Finally, the effectiveness of the proposed method is verified by two examples.

引用

页码：826 / 832

页数：7

共 50 条

[21] Graph-theoretic approach for structural controllability of two-dimensional linear systems [J].

Elosmani, Aissa Omar ;

Bouagada, Djillali ;

Chadli, Mohammed .

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2019, 36 (03) :763-777

[22] Existence and design of observers for two-dimensional linear systems with multiple channel faults [J].

Cao, Liang ;

Zhao, Dong ;

Wang, Youqing ;

Ding, Steven X. .

MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2019, 30 (02) :641-660

[23] H-/H∞ fault detection observer design for two-dimensional Roesser systems [J].

Ding, Da-Wei ;

Wang, Heng ;

Li, Xiaoli .

SYSTEMS & CONTROL LETTERS, 2015, 82 :115-120

[24] STRUCTURAL INVARIANTS OF TWO-DIMENSIONAL SYSTEMS [J].

Ntogramatzidis, Lorenzo .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2012, 50 (01) :334-356

[25] Charge storage in two-dimensional systems [J].

Schmickler, Wolfgang ;

Henderson, Douglas .

JOURNAL OF ELECTROANALYTICAL CHEMISTRY, 2020, 872

[26] Quantitative evaluation of actual fault diagnosability for dynamic systems [J].

Li, Wen-Bo ;

Wang, Da-Yi ;

Liu, Cheng-Rui .

Zidonghua Xuebao/Acta Automatica Sinica, 2015, 41 (03) :497-507

[27] Robust H∞ filtering for uncertain two-dimensional discrete systems with state-varying delays [J].

Huiling Xu ;

Yun Zou .

International Journal of Control, Automation and Systems, 2010, 8 :720-726

[28] Event-triggered Control of Two-Dimensional Discrete-time Systems in Roesser Model [J].

Wang, Jianying ;

Du, Xin ;

Ding, Dawei .

2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, :5851-5856

[29] Robust H∞ Filtering for Uncertain Two-Dimensional Discrete Systems with State-Varying Delays [J].

Xu, Huiling ;

Zou, Yun .

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2010, 8 (04) :720-726

[30] Finite-frequency fault detection for two-dimensional Fornasini-Marchesini dynamical systems [J].

Ren, Yingying ;

Ding, Da-Wei ;

Li, Qing .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2017, 48 (12) :2610-2621

← 1 2 3 4 5 →