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Fault detection under fuzzy model uncertainty

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Abstract

The paper tackles the problem of robust fault detection using Takagi-Sugeno fuzzy models. A model-based strategy is employed to generate residuals in order to make a decision about the state of the process. Unfortunately, such a method is corrupted by model uncertainty due to the fact that in real applications there exists a model-reality mismatch. In order to ensure reliable fault detection the adaptive threshold technique is used to deal with the mentioned problem. The paper focuses also on fuzzy model design procedure. The bounded-error approach is applied to generating the rules for the model using available measurements. The proposed approach is applied to fault detection in the DC laboratory engine.

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References

  1. R. Isermann. Fault Diagnosis Systems: An Introduction from Fault Detection to Fault Tolerance, Springer-Verlag, Berlin, 2005.

    Google Scholar 

  2. J. Korbicz, J. M. Kościelny, Z. Kowalczuk, W. Cholewa. Fault Diagnosis. Models, Artificial Intelligence, Applications, Springer-Verlag, Berlin, 2004.

    MATH  Google Scholar 

  3. R. J. Patton, P. M. Frank, R. N. Clark. Issuess of Fault Diagnosis for Dynamic Systems, Springer-Verlag, New York, 2000.

    Google Scholar 

  4. J. Gertler. Fault Detection and Diagnosis in Engineering Systems, Marcel Dekker, New York, 1998.

    Google Scholar 

  5. T. Söderström, P. Stoica. System Identification, Prentice Hall, UK, 1994.

    Google Scholar 

  6. J. Korbicz. Robust Fault Detection Using Analytical and Soft Computing Methods. Bulletin of the Polish Academy of Sciences: Technical Sciences, vol. 54, no. 1, pp. 75–88, 2006.

    Google Scholar 

  7. M. Witczak. Advances in Model-based Fault Diagnosis with Evolutionary Algorithms and Neural Networks. International Journal of Applied Mathematics and Computer Science, vol. 16, no. 1, pp. 85–99, 2006.

    Google Scholar 

  8. R. J. Patton, J. Korbicz, M. Witczak, F. Uppal. Combined Computational Intelligence and Analytical Methods in Fault Diagnosis. Intelligent Control Systems Using Computational Intelligence Techniques, A. E. Ruano, Ed., IEE Press, London, pp. 349–392, 2005.

    Google Scholar 

  9. R. J. Patton, J. Korbicz. Advances in Computational Intelligence for Fault Diagnosis Systems. Special issue of International Journal of Applied Mathematics and Computer Science. vol. 9, no. 3, 1999.

  10. P. M. Frank, B. Koppen-Seliger. Fuzzy Logic and Neural Network Application to Fault Diagnosis. International Journal of Approximate Reasoning, vol. 16, no. 1, pp. 67–88, 1997.

    Article  MATH  Google Scholar 

  11. T. Takagi, M. Sugeno. Fuzzy Identification of Systems and Its Application to Modelling and Control. IEEE Transactions on Systems, Man and Cybernetics, vol. 15, no. 1, pp. 116–132, 1985.

    MATH  Google Scholar 

  12. L. Rutkowski. New Soft Computing Techniques for System Modelling, Pattern Classification and Image Processing, Springer-Verlag, Berlin, 2004.

    MATH  Google Scholar 

  13. D. Rutkowska. Neuro-Fuzzy Architectures and Hybrid Learning, Springer-Verlag, New York, Heidelberg, 2002.

    MATH  Google Scholar 

  14. D. Rutkowska, L. Zadeh. Eds., Neuro-fuzzy and Soft Computing. Special issue of International Journal of Applied Mathematics and Computer Science. vol. 10, no. 4, 2000.

  15. R. Babuška. Fuzzy Modeling for Control, Kluwer Academic Publisher, London, 1998.

    Google Scholar 

  16. M. Milanese, C. Novara. Set Membership Identification of Nonlinear Systems. Automatica, vol. 40, no. 6, pp. 957–975, 2004.

    Article  MATH  Google Scholar 

  17. E. Walter, L. Pronzato. Identification of Parametric Models from Experimental Data, Springer-Verlag, Berlin, 1997.

    MATH  Google Scholar 

  18. M. Milanese, J. P. Norton, H. Piet-Lahanier, E. Walter. Bounding Approaches to Identification, Plenum Press, New York, 1996.

    MATH  Google Scholar 

  19. M. Witczak. Identification and Fault Detection of Nonlinear Dynamic Systems, University of Zielona Góra Press, Zielona Góra, 2003.

    MATH  Google Scholar 

  20. M. Witczak, J. Korbicz, M. Mrugalski, R. J. Patton. A GMDH Neural Network-based Approach to Robust Fault Diagnosis: Application to the DAMADICS Benchmark Problem. Control Engineering Practice, vol. 14, no. 6, pp. 671–683, 2006.

    Article  Google Scholar 

  21. M. Kowal. Optimization of Neuro-Fuzzy Structures in Technical Diagnostics Systems, University of Zielona Góra Press, Zielona Góra, 2005.

    MATH  Google Scholar 

  22. R. J. Patton, J. Chen. Robust Model-based Fault Diagnosis for Dynamic Systems, Kluwer Academic Publishers, London, 1999.

    MATH  Google Scholar 

  23. S. Hui, S. H. Żak. Observer Design for Systems with Unknown Inputs. International Journal of Applied Mathematics and Computer Science, vol. 15, no. 4, pp. 431–446, 2005.

    MATH  Google Scholar 

  24. P. M. Frank, X. Ding. Survey of Robust Residual Generation and Evaluation Methods. Journal of Process Control, vol. 7, no. 6, pp. 403–424, 1997.

    Article  Google Scholar 

  25. M. Kowal, J. Korbicz. Robust Fault Detection Using Neuro-Fuzzy Networks. In Proceedings of 16th IFAC World Congress, Prague, Czech Republic, 2005.

Download references

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Correspondence to Marek Kowal.

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Marek Kowal received his M.Sc. and Ph.D. degrees in electrical engineering from the University of Zielona Góra, Poland, in 2000 and 2004, respectively. In 2001 (3 months) he was with the Technical University of Lisbon, Portugal, as a research fellow. Currently, he is a assistant professor in the Institute of Control and Computation Engineering at the University of Zielona Góra, Poland.

He has published about 20 papers in refereed journal and conference papers. He is an author of one monograph and two book chapters. His current interests include technical and medical diagnostics, fuzzy and neuro-fuzzy modelling, image processing and pattern recognition.

Józef Korbicz received his M.Sc., Ph.D. and D.Sc. (doctor habilitatis) degrees in automatic control from the Kiev University of Technology, Ukraine in 1975, 1980 and 1986, respectively. He obtained his professorial title from the Institute of System Research of the Polish Academy of Sciences, Warsaw, in 1993. In 1991 (5 months) he was with the University of Colorado, USA, as an IREX research fellow, and then in 1994 (2 months) with the Universities of Duisburg and Wuppertal, Germany, as a DAAD research fellow. He has been a full-rank professor of automatic control at the University of Zielona Góra, Poland, since 1994. He currently heads the Institute of Control and Computation Engineering. In 1991 he founded the International Journal of Applied Mathematics and Computer Science (AMCS) and up to now he has been the Editor-in-Chief.

He has published more than 220 technical papers, 90 of them in international journals. He is an author or co-author of 9 monographs and text books and a co-editor of 3 books. His current research interests include computational intelligence, fault detection and isolation (FDI) and control theory.

Prof. Korbicz is a senior member of IEEE, a member of IFAC TC on SAFEPROCESS, as well as a member of the Automatics and Robotics Committee of the Polish Academy of Sciences in Warsaw. He was a chairman of the International Programme Committee of the 6th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes, SAFEPROCESS, in Beijing, 2006.

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Kowal, M., Korbicz, J. Fault detection under fuzzy model uncertainty. Int J Automat Comput 4, 117–124 (2007). https://doi.org/10.1007/s11633-007-0117-1

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  • DOI: https://doi.org/10.1007/s11633-007-0117-1

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