Necessary and Sufficient Conditions for Fault Diagnosability of Linear Open- and Closed-Loop Stochastic Systems Under Sensor and Actuator Faults

被引：23

作者：

Liu, Qinyuan ^{[1
]}

Wang, Zidong ^{[2
,3
]}

Zhang, Junfeng ^{[4
]}

Zhou, Donghua ^{[2
,5
]}

机构：

[1] Tongji Univ, Dept Comp Sci & Technol, Shanghai 201804, Peoples R China

[2] Shandong Univ Sci & Technol, Coll Elect Engn & Automat, Qingdao 266590, Peoples R China

[3] Brunel Univ London, Dept Comp Sci, Uxbridge UB8 3PH, Middx, England

[4] Harvard Univ, Harvard John A Paulson Sch Engn & Appl Sci, Cambridge, MA 02138 USA

[5] Tsinghua Univ, Dept Automat, Tsinghua Natl Lab Informat Sci & Technol, Beijing 100084, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2022年 / 67卷 / 08期

基金：

美国国家科学基金会;

关键词：

Closed loop systems; Stochastic systems; Fault diagnosis; Actuators; Fault detection; Probability density function; Technological innovation; Bhattacharyya distance; fault diagnosability; open-loop; closed-loop systems; OUTPUT-FEEDBACK; DIAGNOSIS; DETECTABILITY;

D O I：

10.1109/TAC.2021.3108587

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, the diagnosability problem is investigated for open-loop and closed-loop stochastic systems under sensor and actuator faults. A novel quantitative fault diagnosability analysis method is developed to characterize the detectability and isolability for a given system without any predetermined fault diagnosis algorithm. By exploiting the Bhattacharyya distance, some novel indices are proposed to evaluate the difficulty degree of fault detectability and isolability. Necessary and sufficient conditions are established for the diagnosability of both open- and closed-loop stochastic systems undergoing sensor and actuator faults. In addition, the relationship between the fault detectability of open-loop systems and that of closed-loop ones is discussed.

引用

页码：4178 / 4185

页数：8

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