Abstract
This work deals with the problem of optimal residual generation for fault detection (FD) in linear discrete time-varying (LDTV) systems subject to uncertain observations. By introducing a generalized fault detection filter (FDF) with four parameter matrices as the residual generator, a novel FDF design scheme is formulated as two bi-objective optimization problems such that the sensitivity of residual to fault is enhanced and the robustness of residual to unknown input is simultaneously strengthened. A generalized operator based optimization approach is proposed to deduce solutions to the corresponding optimization problems in operator forms, where the related H∞/H∞ or H−/H∞ FD performance index is maximized. With the aid of the addressed methods, the connections among the derived solutions are explicitly announced. The parameter matrices of the FDF are analytically derived via solving simple matrix equations recursively. It is revealed that our proposed results establish an operator-based framework of optimal residual generation for some kinds of linear discrete-time systems. Illustrative examples are given to show the applicability and effectiveness of the proposed methods.
| Original language | English |
|---|---|
| Pages (from-to) | 3330-3353 |
| Number of pages | 24 |
| Journal | Journal of the Franklin Institute |
| Volume | 355 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 2018 May 1 |
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ASJC Scopus subject areas
- Control and Systems Engineering
- Signal Processing
- Computer Networks and Communications
- Applied Mathematics
Cite this
Optimal residual generation for fault detection in linear discrete time-varying systems with uncertain observations. / Li, Yueyang; Karimi, Hamid Reza; Ahn, Choon Ki; Xu, Yuan; Zhao, Dong.
In: Journal of the Franklin Institute, Vol. 355, No. 7, 01.05.2018, p. 3330-3353.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Optimal residual generation for fault detection in linear discrete time-varying systems with uncertain observations
AU - Li, Yueyang
AU - Karimi, Hamid Reza
AU - Ahn, Choon Ki
AU - Xu, Yuan
AU - Zhao, Dong
PY - 2018/5/1
Y1 - 2018/5/1
N2 - This work deals with the problem of optimal residual generation for fault detection (FD) in linear discrete time-varying (LDTV) systems subject to uncertain observations. By introducing a generalized fault detection filter (FDF) with four parameter matrices as the residual generator, a novel FDF design scheme is formulated as two bi-objective optimization problems such that the sensitivity of residual to fault is enhanced and the robustness of residual to unknown input is simultaneously strengthened. A generalized operator based optimization approach is proposed to deduce solutions to the corresponding optimization problems in operator forms, where the related H∞/H∞ or H−/H∞ FD performance index is maximized. With the aid of the addressed methods, the connections among the derived solutions are explicitly announced. The parameter matrices of the FDF are analytically derived via solving simple matrix equations recursively. It is revealed that our proposed results establish an operator-based framework of optimal residual generation for some kinds of linear discrete-time systems. Illustrative examples are given to show the applicability and effectiveness of the proposed methods.
AB - This work deals with the problem of optimal residual generation for fault detection (FD) in linear discrete time-varying (LDTV) systems subject to uncertain observations. By introducing a generalized fault detection filter (FDF) with four parameter matrices as the residual generator, a novel FDF design scheme is formulated as two bi-objective optimization problems such that the sensitivity of residual to fault is enhanced and the robustness of residual to unknown input is simultaneously strengthened. A generalized operator based optimization approach is proposed to deduce solutions to the corresponding optimization problems in operator forms, where the related H∞/H∞ or H−/H∞ FD performance index is maximized. With the aid of the addressed methods, the connections among the derived solutions are explicitly announced. The parameter matrices of the FDF are analytically derived via solving simple matrix equations recursively. It is revealed that our proposed results establish an operator-based framework of optimal residual generation for some kinds of linear discrete-time systems. Illustrative examples are given to show the applicability and effectiveness of the proposed methods.
UR - http://www.scopus.com/inward/record.url?scp=85044270390&partnerID=8YFLogxK
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U2 - 10.1016/j.jfranklin.2018.02.012
DO - 10.1016/j.jfranklin.2018.02.012
M3 - Article
AN - SCOPUS:85044270390
VL - 355
SP - 3330
EP - 3353
JO - Journal of the Franklin Institute
JF - Journal of the Franklin Institute
SN - 0016-0032
IS - 7
ER -