Fault Detection in Nonlinear Systems Via Linear Methods

Alexey Zhirabok; Alexey Shumsky; Sergey Solyanik; Alexey Suvorov

doi:10.1515/amcs-2017-0019

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Fault Detection in Nonlinear Systems Via Linear Methods

International Journal of Applied Mathematics and Computer Science

Volume 27 (2017): Issue 2 (June 2017)

By: Alexey Zhirabok, Alexey Shumsky, Sergey Solyanik and Alexey Suvorov

Open Access

|Jul 2017

Abstract

The problem of robust linear and nonlinear diagnostic observer design is considered. A method is suggested to construct the observers that are disturbance decoupled or have minimal sensitivity to the disturbances. The method is based on a logic-dynamic approach which allows us to consider systems with non-differentiable nonlinearities in the state equations by methods of linear algebra.

References

Alcorta-Garcia, E. and Frank, P. (1997). Deterministic nonlinear observerbased approach to fault diagnosis: A survey, Control Engineering Practice 5(5): 663-670.10.1016/S0967-0661(97)00048-8
Search in Google Scholar Back to article
Boulkroune, B., Djemili, I., Aitouche, A., and Cocquempot, V. (2013). Robust nonlinear observer design for actuator fault detection in diesel engines, International Journal of Applied Mathematics and Computer Science 23(3): 557-569, DOI: 10.2478/amcs-2013-0042.10.2478/amcs-2013-0042
Search in Google Scholar Back to article
Blanke, M., Kinnaert, M., Lunze, J., and Staroswiecki, M. (2006). Diagnosis and Fault-Tolerant Control, Springer, Berlin.
Search in Google Scholar Back to article
Caccavale, F. and Villiani, L. (Eds.) (2002). Fault Diagnosis and Tolerance for Mechatronic Systems: Recent Advances, Springer, Berlin.10.1007/3-540-45737-2
Search in Google Scholar Back to article
Ding, S. (2013). Model-Based Fault Diagnosis Techniques- Design Schemes, Algorithms and Tools, 2nd Edn., Springer, London.
Search in Google Scholar Back to article
Ducard, G.J.J. (2015). SMAC-FDI: A single model active fault detection and isolation system for unmanned aircraft, International Journal of Applied Mathematics and Computer Science 25(1): 189-201, DOI: 10.1515/amcs-2015-0014.10.1515/amcs-2015-0014
Search in Google Scholar Back to article
Filaretov V., Vukobratovic M., and Zhirabok A. (2003). Parity relation approach to fault diagnosis in manipulation robots, Mechatronics 13(2): 141-152.10.1016/S0957-4158(01)00039-3
Search in Google Scholar Back to article
Filaretov, V. and Zhirabok, A. (2006). Logic-dynamic approach to fault diagnosis in mechatronic systems, International Journal of Advanced Robotic Systems 3(4): 285-294.10.5772/5726
Search in Google Scholar Back to article
Frank, P. (1990). Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy-A survey and some new results, Automatica 26(3): 459-474.10.1016/0005-1098(90)90018-D
Search in Google Scholar Back to article
Gertler, J. (1993). Residual generation in model-based fault diagnosis, Theory and Advanced Technology 9(1): 259-285.
Search in Google Scholar Back to article
Low, X. and Willsky, A. and Verghese, G. (1996). Optimally robust redundancy relations for failure detection in uncertain systems, Automatica 22(3): 333-344.10.1016/0005-1098(86)90031-2
Search in Google Scholar Back to article
Patton, R. (1994). Robust model-based fault diagnosis: The state of the art, IFAC Symposium SAFEPROCESS’2004, Espoo, Finland, pp. 1-24.
Search in Google Scholar Back to article
Patton, R., Frank, P. and Clark, R. (2000). Issues of Fault Diagnosis for Dynamic Systems, Springer, London.10.1007/978-1-4471-3644-6
Search in Google Scholar Back to article
Persis, D.C. and Isidori, A. (2001). A geometric approach to nonlinear fault detection and isolation, IEEE Transactions on Automatic Control AC-46(6): 853-865.10.1109/9.928586
Search in Google Scholar Back to article
Russell, E., Chiang, L., and Chiang, L. (2001). Fault Detection and Diagnosis in Industrial Systems, Springer, Berlin.10.1007/978-1-4471-0347-9
Search in Google Scholar Back to article
Samy, I., Postlethwaite, I. and Gu, D. (2011). Survey and application of sensor fault detection and isolation schemes, Control Engineering Practice 19(5): 658-674.10.1016/j.conengprac.2011.03.002
Search in Google Scholar Back to article
Schreier, G., Ragot, J., Patton, R., and Frank, F. (1997). Observer design for a class of nonlinear systems, IFAC Symposium SAFEPROCESS’1997, Hull, UK, pp. 498-503.
Search in Google Scholar Back to article
Simani, S., Fantuzzi, C., and Patton, R. (2002). Model-Based Fault Diagnosis in Dynamic Systems Using Identification, Springer, Berlin.10.1007/978-1-4471-3829-7
Search in Google Scholar Back to article
Shumsky, A. and Zhirabok, A. (2006). Nonlinear diagnostic filter design: Algebraic and geometric points of view, International Journal of Applied Mathematics and Computer Science 16(1): 115-127.
Search in Google Scholar Back to article
Zhirabok, A. and Usoltsev, S. (2002). Fault diagnosis for nonlinear dynamic systems via linear methods, 15th World Congress IFAC, Barcelona, Spain, (on CD ROM).
Search in Google Scholar Back to article
Zhirabok, A., Kucher, D., and Filaretov, V. (2010). Achieving robustness at diagnosis of nonlinear systems, Automation and Remote Control 71(1): 142-155.10.1134/S000511791001011X
Search in Google Scholar Back to article
Zhirabok, A. and Shumsky, A. (2010). Linear methods in observability and controllability of nonlinear systems, 8th IFAC Symposium on Nonlinear Systems, Bologna, Italy, pp. 308-313.
Search in Google Scholar Back to article
Zhirabok, A. and Shumsky, A. (2013). Logic-dynamic approach to the robust fault diagnosis in nonlinear systems, 2013 Conference on Control and Fault Tolerant Systems, Nice, France, pp. 190-195.
Search in Google Scholar Back to article

Articles in this issue

DOI: https://doi.org/10.1515/amcs-2017-0019 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X

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Language: English

Page range: 261 - 272

Submitted on: Jul 8, 2016

Accepted on: Mar 10, 2017

Published on: Jul 8, 2017

Published by: University of Zielona Góra

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

nonlinear dynamic systems,

diagnostic observers,

robustness,

non-differentiable nonlinearities,

logic-dynamic approach

Related subjects:

Mathematics,

Applied mathematics

© 2017 Alexey Zhirabok, Alexey Shumsky, Sergey Solyanik, Alexey Suvorov, published by University of Zielona Góra
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 27 (2017): Issue 2 (June 2017)