Robust nonlinear observer design for actuator fault detection in diesel engines

Boulaid Boulkroune; Issam Djemili; Abdel Aitouche; Vincent Cocquempot

International Journal of Applied Mathematics and Computer Science (2013)

  • Volume: 23, Issue: 3, page 557-569
  • ISSN: 1641-876X

Abstract

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This paper is concerned with actuator fault detection in nonlinear systems in the presence of disturbances. A nonlinear unknown input observer is designed and the output estimation error is used as a residual for fault detection. To deal with the problem of high Lipschitz constants, a modified mean-value theorem is used to express the nonlinear error dynamics as a convex combination of known matrices with time-varying coefficients. Moreover, the disturbance attenuation is performed using a modified H ∞ criterion. A sufficient condition for the existence of an unknown input observer is obtained using a linear matrix inequality formula, and the observer gains are obtained by solving the corresponding set of inequalities. The advantages of the proposed method are that no a priori assumption on the unknown input is required and that it can be applied to a large class of nonlinear systems. Performances of the proposed approach are shown through the application to a diesel engine model.

How to cite

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Boulaid Boulkroune, et al. "Robust nonlinear observer design for actuator fault detection in diesel engines." International Journal of Applied Mathematics and Computer Science 23.3 (2013): 557-569. <http://eudml.org/doc/262400>.

@article{BoulaidBoulkroune2013,
abstract = {This paper is concerned with actuator fault detection in nonlinear systems in the presence of disturbances. A nonlinear unknown input observer is designed and the output estimation error is used as a residual for fault detection. To deal with the problem of high Lipschitz constants, a modified mean-value theorem is used to express the nonlinear error dynamics as a convex combination of known matrices with time-varying coefficients. Moreover, the disturbance attenuation is performed using a modified $H_∞$ criterion. A sufficient condition for the existence of an unknown input observer is obtained using a linear matrix inequality formula, and the observer gains are obtained by solving the corresponding set of inequalities. The advantages of the proposed method are that no a priori assumption on the unknown input is required and that it can be applied to a large class of nonlinear systems. Performances of the proposed approach are shown through the application to a diesel engine model.},
author = {Boulaid Boulkroune, Issam Djemili, Abdel Aitouche, Vincent Cocquempot},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {diesel engine; fault diagnosis; nonlinear unknown input observers; LMI; linear matrix inequalities},
language = {eng},
number = {3},
pages = {557-569},
title = {Robust nonlinear observer design for actuator fault detection in diesel engines},
url = {http://eudml.org/doc/262400},
volume = {23},
year = {2013},
}

TY - JOUR
AU - Boulaid Boulkroune
AU - Issam Djemili
AU - Abdel Aitouche
AU - Vincent Cocquempot
TI - Robust nonlinear observer design for actuator fault detection in diesel engines
JO - International Journal of Applied Mathematics and Computer Science
PY - 2013
VL - 23
IS - 3
SP - 557
EP - 569
AB - This paper is concerned with actuator fault detection in nonlinear systems in the presence of disturbances. A nonlinear unknown input observer is designed and the output estimation error is used as a residual for fault detection. To deal with the problem of high Lipschitz constants, a modified mean-value theorem is used to express the nonlinear error dynamics as a convex combination of known matrices with time-varying coefficients. Moreover, the disturbance attenuation is performed using a modified $H_∞$ criterion. A sufficient condition for the existence of an unknown input observer is obtained using a linear matrix inequality formula, and the observer gains are obtained by solving the corresponding set of inequalities. The advantages of the proposed method are that no a priori assumption on the unknown input is required and that it can be applied to a large class of nonlinear systems. Performances of the proposed approach are shown through the application to a diesel engine model.
LA - eng
KW - diesel engine; fault diagnosis; nonlinear unknown input observers; LMI; linear matrix inequalities
UR - http://eudml.org/doc/262400
ER -

References

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