A mixed active and passive GLR test for a fault tolerant control system

Hicham Jamouli; Mohamed Amine El Hail; Dominique Sauter

International Journal of Applied Mathematics and Computer Science (2012)

  • Volume: 22, Issue: 1, page 9-23
  • ISSN: 1641-876X

Abstract

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This paper presents an adaptive Generalized Likelihood Ratio (GLR) test for multiple Faults Detection and Isolation (FDI) in stochastic linear dynamic systems. Based on the work of Willsky and Jones (1976), we propose a modified generalized likelihood ratio test, allowing detection, isolation and estimation of multiple sequential faults. Our contribution aims to maximise the good decision rate of fault detection using another updating strategy. This is based on a reference model updated on-line after each detection and isolation of one fault. To reduce the computational requirement, the passive GLR test will be derived from a state estimator designed on a fixed reference model directly sensitive to system changes. We will show that active and passive GLR tests will be mixed and give interesting results compared with the GLR of Willsky and Jones (1976), and that they can be easily integrated in a reconfigurable Fault-Tolerant Control System (FTCS) to asymptotically recover the nominal system performances of the jump-free system.

How to cite

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Hicham Jamouli, Mohamed Amine El Hail, and Dominique Sauter. "A mixed active and passive GLR test for a fault tolerant control system." International Journal of Applied Mathematics and Computer Science 22.1 (2012): 9-23. <http://eudml.org/doc/208104>.

@article{HichamJamouli2012,
abstract = {This paper presents an adaptive Generalized Likelihood Ratio (GLR) test for multiple Faults Detection and Isolation (FDI) in stochastic linear dynamic systems. Based on the work of Willsky and Jones (1976), we propose a modified generalized likelihood ratio test, allowing detection, isolation and estimation of multiple sequential faults. Our contribution aims to maximise the good decision rate of fault detection using another updating strategy. This is based on a reference model updated on-line after each detection and isolation of one fault. To reduce the computational requirement, the passive GLR test will be derived from a state estimator designed on a fixed reference model directly sensitive to system changes. We will show that active and passive GLR tests will be mixed and give interesting results compared with the GLR of Willsky and Jones (1976), and that they can be easily integrated in a reconfigurable Fault-Tolerant Control System (FTCS) to asymptotically recover the nominal system performances of the jump-free system.},
author = {Hicham Jamouli, Mohamed Amine El Hail, Dominique Sauter},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {generalized likelihood ratio; sequential jumps detection; two-stage Kalman filter; fault-tolerant control system},
language = {eng},
number = {1},
pages = {9-23},
title = {A mixed active and passive GLR test for a fault tolerant control system},
url = {http://eudml.org/doc/208104},
volume = {22},
year = {2012},
}

TY - JOUR
AU - Hicham Jamouli
AU - Mohamed Amine El Hail
AU - Dominique Sauter
TI - A mixed active and passive GLR test for a fault tolerant control system
JO - International Journal of Applied Mathematics and Computer Science
PY - 2012
VL - 22
IS - 1
SP - 9
EP - 23
AB - This paper presents an adaptive Generalized Likelihood Ratio (GLR) test for multiple Faults Detection and Isolation (FDI) in stochastic linear dynamic systems. Based on the work of Willsky and Jones (1976), we propose a modified generalized likelihood ratio test, allowing detection, isolation and estimation of multiple sequential faults. Our contribution aims to maximise the good decision rate of fault detection using another updating strategy. This is based on a reference model updated on-line after each detection and isolation of one fault. To reduce the computational requirement, the passive GLR test will be derived from a state estimator designed on a fixed reference model directly sensitive to system changes. We will show that active and passive GLR tests will be mixed and give interesting results compared with the GLR of Willsky and Jones (1976), and that they can be easily integrated in a reconfigurable Fault-Tolerant Control System (FTCS) to asymptotically recover the nominal system performances of the jump-free system.
LA - eng
KW - generalized likelihood ratio; sequential jumps detection; two-stage Kalman filter; fault-tolerant control system
UR - http://eudml.org/doc/208104
ER -

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