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H Observer Design for Detecting Internal Oil Leakage in a Hydraulic Cylinder

유압실린더 내부 누유 검출을 위한 H 관측기 설계

  • Received : 2015.12.16
  • Accepted : 2015.12.29
  • Published : 2016.02.01

Abstract

This paper presents the internal oil leakage detection problem for a hydraulic double-rod cylinder. We represent the dynamics of the hydraulic cylinder as a convex combination of linear equations. To detect oil leakage, we propose a model-based fault detection observer design scheme. The observer is designed to be robust against disturbance. Sufficient design conditions are derived in the form of linear matrix inequalities. A numerical example is provided to verify the proposed techniques.

Keywords

Acknowledgement

Supported by : 한국해양과학기술진흥원

References

  1. J. Guo, X. Huang, and Y. Cui, "Design and analysis of robust fault detection filter using LMI tools," Computers and Mathematics with Applications, vol. 57, no. 11-12, pp. 1743-1747, 2009. https://doi.org/10.1016/j.camwa.2008.10.032
  2. J. Liu, J. L. Wang, and G.-H. Yang, "An LMI approach to minimum sensitivity analysis with application to fault detection," Automatica, vol. 41, no. 11, pp. 1995-2004, 2005. https://doi.org/10.1016/j.automatica.2005.06.005
  3. J. L. Wang, G.-H. Yang, and J. Liu, "An LMI approach to $H_{-}$ index and mixed $H_{-}$/$H_{\infty}$ fault detection observer design," Automatica, vol. 43, no. 9, pp. 1656-1665, 2007. https://doi.org/10.1016/j.automatica.2007.02.019
  4. S. C. Jee, H. J. Lee, and Y. H. Joo, "$H_{-}$/$H_{\infty}$ sensor fault detection observer design for nonlinear systems in Takagi-Sugeno's form," - Nonlinear Dynamics, vol. 67, no. 4, pp. 2343-2351, Mar. 2012. https://doi.org/10.1007/s11071-011-0148-6
  5. H. E. Merritt, Hydraulic Control Systems, 2nd Ed., Wiley, New York, 1967.
  6. A. Alleyne and R. Liu, "A simplified approach to force control for electro-hydraulic systems," Control Engineering Practice, vol. 8, no. 12, pp. 1347-1356, Dec. 1989. https://doi.org/10.1016/S0967-0661(00)00081-2
  7. B. Yao, F. Bu, and G. T.-C. Chiu, "Nonlinear adaptive robust control of electro-hydraulic servo systems with discontinuous projections," in Decision and Control, 1998. Proceedings of the 37th IEEE Conference on, vol. 2, no. 3, pp. 2265-2270, Dec. 1998.
  8. Z. Shiler and S. Dubowski, "Modeling of dynamic friction behaviors of hydraulic cylinders," Mechatronics, vol. 22, no. 1, pp. 65-75, Feb. 2012. https://doi.org/10.1016/j.mechatronics.2011.11.009
  9. H. Olsson, K. J. Astrom, C. Canudas de Wit, M. Gafvert, and P. Lischinsky, "Friction models and friction compensation," European Journal of Control, vol. 4, no. 3, pp. 176-195, 1998. https://doi.org/10.1016/S0947-3580(98)70113-X
  10. H. Yanada and Y. Sekikawa, "Modeling of dynamic behaviors of friction," Mechatronics, vol. 18, no. 7, pp. 330-339, 2008. https://doi.org/10.1016/j.mechatronics.2008.02.002
  11. S. C. Jee, J. W. Park, M. K. Kim, M. J. Lee, H. J. Kang, and S. M. Hong, "Model-based observer design for detecting internal oil-leakage of hydraulic cylinder: LMI approach," Proceedings of Korean Marine Robot Technology Society 2015 Autumn Conference, pp. 150-151, 2015.
  12. B. Yao, F. Bu, J. Reedy, and G. T.-C. Chiu, "Adaptive robust motion control of single-rod hydraulic actuators: Theory and experiments," IEEE/ASME Transactions on Mechatronics, vol. 5, no. 1, pp. 79-91, Mar. 2000. https://doi.org/10.1109/3516.828592
  13. D. W. Kim and H. J. Lee, "Sampled-data observer-based output-feedback fuzzy stabilization of nonlinear systems: Exact discrete-time design approach," Fuzzy Sets and Systems, vol. 201, pp. 20-39, 2012. https://doi.org/10.1016/j.fss.2011.12.017
  14. S. C. Jee and H. J. Lee, "Sampled-data $H_{-}$/$H_{\infty}$ fault detection and isolation for nonlinear systems in T-S form: An approximate model approach," Fuzzy Sets and Systems, published online, 2015.
  15. J. Yao, G. Yang, and D. Ma, "Internal leakage fault detection and tolerant control of single-rod hydraulic actuators," Mathematical Problems in Engineering, vol. 2014, pp. 1-14, 2014.

Cited by

  1. T—S Fuzzy Model-based Sampled-data Observer Design for Detecting Internal Oil Leakage in Single-rod Hydraulic Cylinder: LMI Approach vol.30, pp.5, 2016, https://doi.org/10.5574/KSOE.2016.30.5.405