International Journal of Fuzzy Logic and Intelligent Systems

Korean Institute of Intelligent Systems (한국지능시스템학회)
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A Fault Detection System Design for Uncertain Fuzzy Systems

  • Published : 2006.03.01
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Abstract

This paper deals with a fault detection system design for uncertain nonlinear systems modelled as T-S fuzzy systems with the integral quadratic constraints. In order to generate a residual signal, we used a left coprime factorization of the T-S fuzzy system. From the filtered signal of the residual generator, the fault occurence can be detected effectively. A simulation study with nuclear steam generator level control system shows that the suggested method can be applied to detect the fault in actual applications.

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References

  1. J. Gertler, Analytical redundancy methods in fault detection and isolation, In Proc. IFAC/IMACS Symp. SAFEPROCESS'91, Baden-Baden 1991
  2. R. Patton and J. Chen, Robust fault detection using eigenstructure assignment : A tutorial consideration and some new results, In Proc. of the 30th CDC, England, pp.2242-2247, 1991
  3. J. Chen, R. Patton and H. Zhang, Design of unknown input observers and robust fault detection filters, Int. J. Control, vol.63, pp.85-105, 1996 https://doi.org/10.1080/00207179608921833
  4. P. Frank and X. Ding, Frequency domain approach to optimally robust residual generation and evaluation for model based fault diagnosis, Automatica, vol.30, no.5, pp.789-804, 1994 https://doi.org/10.1016/0005-1098(94)90169-4
  5. E. Collins and T. Song, Multiplier based robust H $_{\infty}$ estimation with application to robust fault detection, In Proc. of the American Control Conference, pp.4408-4412, San Diego, California, June 1999
  6. K. Tanaka, T. Ikeda and H. Wang, Robust stabilization of a class of uncertain nonlinear systems via fuzzy control : Quadratic stabilizability, control theory, and linear matrix inequalities, IEEE Trans. Fuzzy Systems, vol.4, no.1 , Feb., pp.1-13, 1996 https://doi.org/10.1109/91.481840
  7. S.K.Nguang, P.Shi, Fuzzy output feedback control design for nonlinear systems : an LMI approach, IEEE Trans. Fuzzy Systems, vol.11, no.3, June pp.331-340, 2003 https://doi.org/10.1109/TFUZZ.2003.812691
  8. H.D. Tuan, P. Apkarian, T. Narikiyo and Y. Yamamoto, Parameterized linear matrix inequality techniques in fuzzy control system design, IEEE Trans. Fuzzy Systems, vol.9, no.2, April, pp.324-332, 2001 https://doi.org/10.1109/91.919253
  9. A. Rantzer and A. Megretsky, System analysis via integral quadratic constraints, In Proc. 33rd IEEE Conf. Decision Contr., pp.3062-3-67, Lake Buena Vista, FL, 1994
  10. E. Irving, C. Miossec and J. Tassart, Toward efficient full automatic operation of the pwr steam generator with water level adaptive control. In 2nd Int. Conf. Boiler Dynamics and Control in Nuclear Power Stations, Bournemouth, U.K., Oct. pp.309-329, 1979
  11. M.G. Na and H.C. No, Quantitative evaluation of swelling or shrinking level contributions in steam generators using spectrum analysis, Ann. Nucl. Energy, vol.20, no.10, pp.659-666, Oct. 1993 https://doi.org/10.1016/0306-4549(93)90048-T