Mixed l1/l- Fault Detection for Positive 2-D Systems With Distributed Delays

被引：14

作者：

Duan, Zhaoxia ^{[1
]}

Fu, Jinna ^{[2
]}

Ahn, Choon Ki ^{[3
]}

Xiang, Zhengrong ^{[4
]}

Ghous, Imran ^{[5
]}

机构：

[1] Hohai Univ, Coll Energy & Elect Engn, Nanjing 210098, Peoples R China

[2] Zhejiang Univ, Ocean Coll, Zhoushan Campus, Zhoushan 316021, Peoples R China

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

[4] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Peoples R China

[5] COMSATS Univ Islamabad, Dept Elect & Comp Engn, Lahore Campus, Lahore 54000, Pakistan

来源：

IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS | 2022年 / 52卷 / 11期

基金：

新加坡国家研究基金会; 中国国家自然科学基金; 中国博士后科学基金;

关键词：

Fault detection (FD); l(1)/l(-) index; multiple delays; observer; DETECTION OBSERVER DESIGN; CONTROLLER SYNTHESIS; STABILITY-CRITERION; L(1)-INDUCED NORM; STABILIZATION;

D O I：

10.1109/TSMC.2022.3150154

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 work discusses the fault detection problem for two-dimensional (2-D) positive systems (PSs) with distributed delays. First, a systematic method is proposed for the computation of exact values of l(1)-gain and l_- index for delay-free systems, and the dimension expansion technique is used to transfer the computation of l(1)/l_ index for 2-D delayed PSs to one of the delay-free systems. Second, necessary and sufficient conditions are established such that the 2-D delayed PSs are asymptotically stable with a desired l(1)/l_ performance level (PL) gamma/beta. Third, based on the above results, some NCSs are established such that the disturbance and the fault impact on the output signal are minimized and maximized, respectively. An algorithm (iterative) is formulated for the solution of the convex optimization problem. Finally, the potency and accuracy of the developed theoretical results are exhibited by an example.

引用

页码：7090 / 7100

页数：11

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