© The Institution of Engineering and Technology
Since any disturbances and faults may lead to significant performance degradation in practical dynamical systems, it is essential for a system to be robust to disturbances and, at the same time, sensitive to faults. For this purpose, the authors propose an optimal robust fault-detection filter for linear discrete time-varying systems. The algorithm solves linear matrix inequalities to obtain the optimal robust H∞ estimator, minimises the H∞ norm from uncertain disturbances to estimation errors and uses H− index to maximise the minimum effect of faults on the residual output of the filter. This approach is applied to the micro-electro-mechanical system-based inertial navigation system/global positioning system; and the simulation results show that the new algorithm can achieve small estimation errors and has high sensitivity to faults.
References
-
-
1)
-
M. Zhong ,
S.X. Ding ,
E.L. Ding
.
Optimal fault detection for linear discrete time-varying systems.
Automatica
,
8 ,
1395 -
1400
-
2)
-
A. Izadian ,
P. Khayyer ,
P. Famouri
.
Fault Diagnosis of time-varying parameter systems with application in MEMS LCRs.
IEEE Trans. Ind. Electron.
,
4 ,
973 -
978
-
3)
-
Y.Y. Qin ,
H.Y. Zhang ,
S.H. Wang
.
(1998)
Kalman filter and integration navigated theory.
-
4)
-
L. Xie ,
L. Lu ,
D. Zhang ,
H. Zhang
.
Improved robust ℋ2 and ℋ∞ filtering for uncertain discrete-time systems.
Automatica
,
873 -
880
-
5)
-
I. Izadi ,
Q. Zhao ,
T. Chen
.
Analysis of performance criteria in sampled-data fault detection.
Syst. Control Lett.
,
320 -
325
-
6)
-
Z. Mao ,
B. Jiang ,
P. Shi
.
H∞ fault detection filter design for networked control systems modelled by discrete Markovian jump systems.
IET Control Theory Appl.
,
8 ,
675 -
681
-
7)
-
J. Shi ,
L.J. Miao ,
M.L. Ni
.
An outlier rejecting and adaptive filter algorithm applied in MEMS-SINS/GPS.
J. Astron.
,
2711 -
2716
-
8)
-
X.B. Li ,
K.M. Zhou
.
A time domain approach to robust fault detection of linear time-varying systems.
Automatica
,
94 -
102
-
9)
-
A. Noureldin ,
T.B. Karamat ,
M.D. Eberts ,
A. El-Shafie
.
Performance enhancement of MEMS-based INS/GPS integration for low-cost navigation applications.
IEEE Trans. Veh. Technol.
,
1077 -
1096
-
10)
-
B. Hassibi ,
A.H. Sayed ,
T. Kailath
.
Linear estimation in Krein spaces – Part II: applications.
IEEE Trans. Autom. Control
,
1 ,
34 -
49
-
11)
-
G.H. Yang ,
H. Wang
.
Fault detection for linear uncertain systems with sensor faults.
IET Control Theory Appl.
,
6 ,
923 -
935
-
12)
-
P.M. Frank ,
S.X. Ding
.
Survey of robust residual generation and evaluation methods in observer-based fault detection systems.
J. Process. Control
,
6 ,
403 -
424
-
13)
-
K.M. Grigoriadis ,
J.T. Watson
.
Reduced-order ℋ∞ and ℒ2–ℒ∞ filtering via linear matrix inequalities.
IEEE Trans. Aerosp. Electron. Syst.
,
1326 -
1338
-
14)
-
D. Henry ,
A. Zolghadri
.
Norm-based design of robust FDI schemes for uncertain systems under feedback control: comparison of two approaches.
Control Eng. Pract.
,
1081 -
1097
-
15)
-
Y.R. Chen ,
J.P. Yuan
.
An improved robust H∞ multiple fading fault-tolerant filtering algorithm for INS/GPS integrated navigation.
J. Astron.
,
930 -
934
-
16)
-
N. Liu ,
K.M. Zhou
.
Optimal robust fault detection for linear discrete time systems.
-
17)
-
S.X. Ding ,
P. Zhang ,
A. Naik ,
E.L. Ding ,
B. Huang
.
Subspace method aided data-driven design of fault detection and isolation systems.
J. Process Control
,
1496 -
1510
-
18)
-
C. Scherer ,
P. Gahinet ,
M. Chilali
.
Multiobjective output-feedback control via LMI optimization.
IEEE Trans. Autom. Control
,
7 ,
896 -
911
-
19)
-
Y.R. Geng ,
J.L. Wang
.
Adaptive estimation of multiple fading factors in Kalman filter for navigation applications.
GPS Solution
,
273 -
279
-
20)
-
J. Chen ,
R.J. Patton
.
(1999)
Robust model-based fault diagnosis for dynamic systems.
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-cta.2010.0639
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