On the Representation of Actuator Faults Diagnosis and Systems Invertibility
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On the Representation of Actuator Faults Diagnosis and Systems Invertibility

Authors: Sallem F., Dahhou B., Kamoun A.

Abstract:

In this work, the main problem considered is the  detection and the isolation of the actuator fault. A new formulation of  the linear system is generated to obtain the conditions of the actuator  fault diagnosis. The proposed method is based on the representation  of the actuator as a subsystem connected with the process system in  cascade manner. The designed formulation is generated to obtain the  conditions of the actuator fault detection and isolation. Detectability  conditions are expressed in terms of the invertibility notions. An  example and a comparative analysis with the classic formulation  illustrate the performances of such approach for simple actuator fault  diagnosis by using the linear model of nuclear reactor.

 

Keywords: Actuator fault, Fault detection, left invertibility, nuclear reactor, observability, parameter intervals, system inversion.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1090946

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References:


[1] R. Isermann, "Process Fault Detection Based On Modeling and Estimation Methods - A Survey”. Automatica, 1984, vol. 20, no. 3, pp. 387-404.
[2] R. J. Patton, "Robust Model-Based Fault Diagnosis in Dynamic: The State of Art”, Proceedings of the IFAC Symposium on Fault Detection, Supervision and Safety for Process (SAFEPROCESS), Espoo, Fnland, 1994, pp. 1-24.
[3] D. Fragkoulis., G. Roux, B. Dahhou B, « A New Scheme for Detection, Isolation and Identification of Single and Multiple Actuators Faults”, IEEE International Conference on Pronostics and Health Management (PHM 2008), Denver (USA), 6-9 Octobre 2008, 6p.
[4] J. J. Gertler,. "Fault Detection and Diagnosis in Engineering Systems”, Marcel Dekker. New York, 1998.
[5] J. Chen, R. J. Patton, "Robust Model-Based Fault Diagnosis for Dynamic systems”, Kluwer Academic Publishers. Masssachusetts, 1999.
[6] A. S. Willsky, "A Survey of Design Methods for Failure Detection in Dynamic Systems”, Automatica, 12(6), pp. 601-611, 1976.
[7] H. L. Jones, "Failure Detection in Linear Systems”, Ph.D. Dissertation, Dep. Aeronautics and Astronautics, Mass. Inst. Technol., Cambridge, MA, Aug. 1973.
[8] N. Kabbaj, M. Polit, B. Dahhou and G. Roux, "Adaptive Observers Based Fault Detection and Isolation for an Alcoholic Fermentation Process”, 2001, 8th IEEE International Conference on Emerging Technologies and Factory Automation, October 15-18, 2(2), pp. 669- 673, Antibes - Juan les Pins, France.
[9] M. A. Massoumnia, "A Geometric Approach to Failure Detection and Identification in Linear Systems”, Ph.D. dissertation, Dep. Aeronautics and Astronautics, Mass. Inst. Technol., Feb. 1986.
[10] Li Z. and Dahhou B.: A New Fault Isolation and Identification Method for Nonlinear Dynamic Systems: Application to a Fermentation Process. Applied Mathematical Modelling, 32 (2008), 2806-2830.
[11] P. M, Frank, "Fault Diagnosis in Dynamic Systems Using Analytical and Knowledge-Based Redundancy: A Survey and Some New Results”. Automatica, 26(3), 459–474, 1990.
[12] R. Isermann, "On the Applicability of Model-Based Fault Detection for Technical Processes”, Control Engineering Practice, 2, pp. 439-450, 1994.
[13] R, Isermann and P. Balle, "Trends in the Application of Model-Based Fault Detection and Diagnosis of Technical Processes”, Control Engineering Practice, 5(5), pp. 709-719, 1997.
[14] R. J. Patton, P. M. Frank, and, R. N. Clark, "Issues of Fault Diagnosis for Dynamic Systems”. London Limited: Springer Verlag, 2000.
[15] C. Bernstein, "Matrix Mathematic, Theory, Facts, and Formulas with Application to Linear Systems Theory”, Princeton University Press, Princeton and Oxford, 2005.
[16] F.Szigeti, A. R. Bolivar, "System Inversion and Fault Detection: The Failure Affine Nonlinear Case”, Proceedings of the 10th Mediterranean Conference on Control and Automation - MED2002 Lisbon, Portugal, July 9-12, 2002.
[17] R. Kallol, R. N. Banavar, and S. Thangasamy, "Application of Fault Detection and Identification (FDI) Techniques in Power Regulating Systems of Nuclear Reactors", IEEE Transactions on Nuclear Science, Vol. 45, No. 6, December 1998.
[18] M. K. Sain, J. L. Massey, "Invertibility of Linear Time-Invariant Dynamical Systems”, IEEE Transactions on Automatic Control, V.AC- 14, No 2, April 1969.