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On Some Ways to Implement State–Multiplicative Fault Detection in Discrete–Time Linear Systems Cover

On Some Ways to Implement State–Multiplicative Fault Detection in Discrete–Time Linear Systems

Open Access
|Jul 2022

References

  1. Baïkeche, H., Marx, B., Maquin, D., and Ragot, J. (2006). On parametric and nonparametric fault detection in linear closed-loop systems, 4th Workshop on Advanced Control and Diagnosis, Nancy, France, pp. 1–6.
  2. Borutzky, W. (2021). Bond Graph Modelling for Control, Fault Diagnosis and Failure Prognosis, Springer, Cham.10.1007/978-3-030-60967-2
  3. Chen, W., Khan, A.Q., Abid, M., and Ding, S.X. (2011). Integrated design of observer based fault detection for a class of uncertain nonlinear systems, International Journal of Applied Mathematics and Computer Science 21(3): 423–430, DOI: 10.2478/v10006-011-0031-0.
  4. Chiang, L.H., Russell, E.L., and Braatz, R.D. (2001). Fault Detection and Diagnosis in Industrial Systems, Springer, London.10.1007/978-1-4471-0347-9
  5. De Oliveira, M.C., Geromel, J.C., and Bernussou, J. (2002). Extended H2 and H∞ norm characterizations and controller parametrizations for discrete-time systems, International Journal of Control 75(9): 666–679.10.1080/00207170210140212
  6. Ding, S. (2021). Advanced Methods for Fault Diagnosis and Fault-tolerant Control, Springer, Cham.
  7. Doraiswami, R. and Cheded, L. (2012). Kalman filter for parametric fault detection. An internal model principle-based approach, IET Control Theory and Applications 6(5): 715–725.
  8. Döhler, M., Mevel, L., and Zhang, Q. (2016) Fault detection, isolation and quantification from Gaussian residuals with application to structural damage diagnosis, Annual Reviews in Control 42(C): 244–256.10.1016/j.arcontrol.2016.08.002
  9. Ellis, G. (2002). Observers in Control Systems: A Practical Guide, Academic Press, San Diego.
  10. Felicio, P.A.S.A. and Lourtie, P.M.G. (2006). Applicability of standard formulation parametric fault detection methods, 14th Mediterranean Conference on Control and Automation, Ancona, Italy, pp. 1–6.
  11. Ferdowsi, H., Jagannathan, S. (2011). Unified model-based fault diagnosis scheme for nonlinear discrete-time systems with additive and multiplicative faults, 50th IEEE Conference on Decision and Control and European Control Conference, Orlando, USA, pp. 1570–1575.
  12. Filasová, A., Krokavec, D., and Liššinský, P. (2016). Conditions with D-stability circle area in design of observer-based fault estimation, Applied Mathematical Sciences 10(35): 1705–1717.10.12988/ams.2016.63112
  13. Gao, Z. (2015). Fault estimation and fault-tolerant control for discrete-time dynamic systems, IEEE Transactions on Industrial Electronics 62(4): 3874–3884.10.1109/TIE.2015.2417511
  14. Gao, C. and Duan, G. (2012). Robust adaptive fault estimation for a class of nonlinear systems subject to multiplicative faults, Circuits, Systems, and Signal Processing 31(6): 2035–2046.10.1007/s00034-012-9434-x
  15. Gershon, E., Shaked, U., and Yaesh, I. (2005). H∞ Control and Estimation of State-multiplicative Linear Systems, Springer, London.
  16. Gertler, J. (1998). Fault Detection and Diagnosis in Engineering Systems, CRC Press, Boca Raton.
  17. Gil, P., Santos, F., Palma, L., and Cardoso, A. (2015). Recursive subspace system identification for parametric fault detection in nonlinear systems, Applied Soft Computing 37(C): 444–455.10.1016/j.asoc.2015.08.036
  18. Hamdi, H., Rodrigues, M., Rabaoui, B., and Benhadj Braiek, N. (2021). A fault estimation and fault–tolerant control based sliding mode observer for LPV descriptor systems with time delay, International Journal of Applied Mathematics and Computer Science 31(2): 247–258, DOI: 10.34768/amcs-2021-0017.
  19. Hogben, L. (2007), Handbook of Linear Algebra, Chapman & Hall/CRC, Boca Raton.
  20. Huang, L., Ren, H., Chai, Y., and Qu, J. (2021). A fault detection method based on stacking the SAE-SRBM for nonstationary and stationary hybrid processes, International Journal of Applied Mathematics and Computer Science 31(1): 29–43, DOI: 10.34768/amcs-2021-0003.
  21. Khargonekar, P.P. and Petersen, I.R. (1990). Robust stabilization of uncertain linear systems: Quadratic stabilizability and H∞ control theory, IEEE Transactions on Automatic Control 35(3): 356–361.10.1109/9.50357
  22. Kim, K.S. and Rew, K.H. (2013). Reduced order disturbance observer for discrete-time linear systems, Automatica 49(4): 968–975.10.1016/j.automatica.2013.01.014
  23. Korovin, S.K. and Fomichev, V.V. (2009). State Observers for Linear Systems with Uncertainty, De Gruyter, Berlin.10.1515/9783110218138
  24. Krokavec, D. and Filasová, A. (2019a). H∞ norm principle in residual filter design for discrete-time linear positive systems, European Journal of Control 45: 17–29.10.1016/j.ejcon.2018.10.001
  25. Krokavec, D. and Filasová, A. (2019b). On fault detection for discrete-time linear state-multiplicative systems with uncorrelated multiplicative faults, 6th International Conference on Control, Decision and Information Technologies, Paris, France, pp. 894-899.10.1109/CoDIT.2019.8820338
  26. Krokavec, D. and Filasová, A. (2020). Detection of state-multiplicative faults in discrete-time linear systems, in A. Bartoszewicz et al. (Eds), Advances in Intelligent Systems and Computing, Springer, Cham, pp. 1424–1433.10.1007/978-3-030-50936-1_118
  27. Krokavec, D. and Filasová, A. (2021). Quadratic stabilization of linear uncertain positive discrete-time systems, Symmetry 13(9): 1–20.10.3390/sym13091725
  28. Luenberger, D.G. (1979). Introduction to Dynamic Systems: Theory, Models and Applications, Wiley, New York.
  29. Park, Y.J., Fan, S.K.S., and Hsu, C.Y. (2020). A review on fault detection and process diagnostics in industrial processes, Processes 8(9): 1–26.10.3390/pr8091123
  30. Sun, Z. and Yang, Z. (2014). Joint parametric fault diagnosis and state estimation using KF-ML method, IFAC Proceedings Volumes 47(3): 8293–8298.10.3182/20140824-6-ZA-1003.01899
  31. Wu, C., Qi, J., Song, D., Qi, X., and Han, J. (2015). Simultaneous state and parameter estimation based actuator fault detection and diagnosis for an unmanned helicopter, International Journal of Applied Mathematics and Computer Science 25(1): 175–187, DOI: 10.1515/amcs-2015-0013.
  32. Zhong, M., Ma, C., and Ding, S.X. (2005). Design of parametric fault detection systems: An H-infinity optimization approach, Journal of Control Theory and Applications 2(1): 35–41.10.1007/s11768-005-0058-6
DOI: https://doi.org/10.34768/amcs-2022-0017 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X
Language: English
Page range: 229 - 240
Submitted on: Dec 19, 2021
Accepted on: Apr 20, 2022
Published on: Jul 4, 2022
Published by: Sciendo
In partnership with: Paradigm Publishing Services
Publication frequency: 4 times per year

© 2022 San Krokavec, Anna Filasová, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.