A NOVEL SCHEME FOR MULTIVARIATE STATISTICAL FAULT DETECTION WITH APPLICATION TO THE TENNESSEE EASTMAN PROCESS

被引:2
|
作者
Xu, Nana [1 ]
Sun, Jun [2 ]
Liu, Jingjing [3 ]
Xiu, Xianchao [1 ]
机构
[1] Shanghai Univ, Sch Mechatron Engn & Automat, Shanghai 200444, Peoples R China
[2] Beijing Jiaotong Univ, Dept Appl Math, Beijing 100044, Peoples R China
[3] Fudan Univ, Sch Microelect, State Key Lab ASIC & Syst, Shanghai 200433, Peoples R China
来源
基金
中国国家自然科学基金;
关键词
Fault detection (ED); sparse collaborative regression (SCR); l(2,1)-norm; convergence analysis; Tennessee Eastman (TE) process; CANONICAL CORRELATION-ANALYSIS; PRINCIPAL COMPONENT ANALYSIS;
D O I
10.3934/mfc.2021010
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Canonical correlation analysis (CCA) has gained great success for fault detection (FD) in recent years. However, it cannot preserve the prior information of the underlying process. To cope with these difficulties, this paper proposes an improved CCA-based ED scheme using a novel multivariate statistical technique, called sparse collaborative regression (SCR.). The core of the proposed method is to take the prior information as a supervisor, and then integrate it with CCA. Further, the l(2,1)-norm is employed to reduce redundancy and avoid overfitting, which facilitates its interpretability. In order to solve the proposed SCR, an efficient alternating optimization algorithm is developed with convergence analysis. Finally, some experimental studies on a simulated example and the benchmark Tennessee Eastman process are conducted to demonstrate the superiority over the classical CCA in terms of the false alarm rate and fault detection rate. The detection results indicate that the proposed method is promising.
引用
收藏
页码:167 / 184
页数:18
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