H_/H Sensor Fault Detection and Isolation of Uncertain Time-Delay Systems



Jee, Sung Chul;Lee, Ho Jae;Kim, Do Wan

  • 투고 : 2013.07.08
  • 심사 : 2013.09.25
  • 발행 : 2014.01.01


Sensor fault detection and isolation problems subject to H_/$H_{\infty}$, performance are concerned for linear time-invariant systems with time delay in a state and parametric uncertainties. To that end, a model-based observer bank approach is pursued. The design conditions for both continuous- and discrete-time cases are formulated in terms of matrix inequalities, which are then converted to the problems solvable via an algorithm involving convex optimization.


Fault detection and isolation;Time delay;Parametric uncertainty;H_/$H_{\infty}$ performance;Observer bank


  1. L. Bai, Z. Tian, and S. Shi, "Robust fault detection for a class of nonlinear time-delay systems," Journal of the Franklin Institute, vol. 344, no. 6, pp. 873-888, Sep. 2007. https://doi.org/10.1016/j.jfranklin.2006.11.004
  2. S. X. Ding, Model-based Fault Diagnosis Techniques: Springer, 2008.
  3. J. S.-H. Tsai, C.-L. Wei, S.-M. Guo, L. S. Shieh, and C. R. Liu, "Ep-based adaptive tracker with observer and fault estimator for nonlinear time-varying sampled-data systems against actuator failures," Journal of the Franklin Institute, vol. 345, no. 5, pp. 508-535, Aug. 2008. https://doi.org/10.1016/j.jfranklin.2008.02.003
  4. C. D. Persis and A. Isidori, "A geometric approach to nonlinear fault detection and isolation," IEEE Transactions on Automatic Control, vol. 46, no. 6, pp. 853-865, Jun. 2001.
  5. F. Caliskan and I. Genc, "A robust fault detection and isolation method in load frequency control loops," IEEE Transactions on Power Systems, vol. 23, no. 4, pp. 1756-1767, Nov. 2008. https://doi.org/10.1109/TPWRS.2008.2004831
  6. 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, Nov. 2005. https://doi.org/10.1016/j.automatica.2005.06.005
  7. I. M. Jaimoukha, Z. Li, and V. Papakos, "A matrix factorization solution to the ${\mathscr{H}}_-/{\mathscr{H}}_{\infty}$ fault detection problem," Automatica, vol. 42, no. 11, pp. 1907-1912, Nov. 2006. https://doi.org/10.1016/j.automatica.2006.06.002
  8. J. L. Wang, G.-H. Yang, and J. Liu, "An LMI approach to ${\mathscr{H}}_-$ index and mixed ${\mathscr{H}}_-/{\mathscr{H}}_{\infty}$ fault detection observer design," Automatica, vol. 43, no. 9, pp. 1656-1665, Sep. 2007. https://doi.org/10.1016/j.automatica.2007.02.019
  9. J. Guo, X. Huang, and Y. Cui, "Design and analysis of robust fault detection filter using LMI tools," Computers & Mathematics with Applications, vol. 57, no. 11-12, pp. 1743-1747, Jun. 2009. https://doi.org/10.1016/j.camwa.2008.10.032
  10. S. C. Jee, H. J. Lee, and Y. H. Joo, "${\mathscr{H}}_-/{\mathscr{H}}_{\infty}$ 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
  11. G. Paviglianiti, F. Pierri, F. Caccavale, and M. Mattei, "Robust fault detection and isolation for proprioceptive sensors of robot manipulators," Mechatronics, vol. 20, no. 1, pp. 162-170, Feb. 2010. https://doi.org/10.1016/j.mechatronics.2009.09.003
  12. Y. S. Moon, P. Park, W. H. Kwon, and Y. S. Lee, "Delay-dependent robust stabilization of uncertain state-delayed systems," International Journal of Control, vol. 74, no. 14, pp. 1447-1455, Sep. 2001. https://doi.org/10.1080/00207170110067116
  13. A. Casavola, D. Famularo, and G. Franze, "A robust deconvolution scheme for fault detection and isolation of uncertain linear systems: An LMI approach," Automatica, vol. 41, no. 8, pp. 1463-1472, Aug. 2005. https://doi.org/10.1016/j.automatica.2005.03.019
  14. D. Huang and S. K. Nguang, "Robust fault estimator design for uncertain networked control systems with random time delays: An ILMI approach," Information Sciences, vol. 180, no. 3, pp. 465-480, Feb. 2010 https://doi.org/10.1016/j.ins.2009.10.002
  15. L. Bai, Z. Tian, and S. Shi, "Design of robust fault detection filter for linear uncertain time-delay systems," ISA Transactions, vol. 45, no. 4, pp. 491-502, Sep. 2006. https://doi.org/10.1016/S0019-0578(07)60227-4
  16. H. Karimi, M. Zapateiro, and N. Luo, "A linear matrix inequality approach to robust fault detection filter design of linear systems with mixed time-varying delays and nonlinear perturbations," Journal of the Franklin Institute, vol. 347, no. 6, pp. 957-973, Aug. 2010. https://doi.org/10.1016/j.jfranklin.2010.03.004
  17. P. Park, "A delay-dependent stability criterion for systems with uncertain time-invariant delays," IEEE Transactions on Automatic Control, vol. 44, no. 4, pp. 876-877, Apr. 1999. https://doi.org/10.1109/9.754838
  18. S. C. Jee, H. J. Lee, and Y. H. Joo, "$H_-/H_{\infty}$ sensor fault detection and isolation in linear time-invariant systems," International Journal of Control Automation and Systems, vol. 10, no. 4, pp. 841-848, Aug. 2012. https://doi.org/10.1007/s12555-012-0422-5

피인용 문헌

  1. 1. An Approach for Security Problems in Visual Surveillance Systems by Combining Multiple Sensors and Obstacle Detection vol.10, pp.3, 2015, doi:10.5370/JEET.2014.9.1.313
  2. 2. H−/H∞fault detection observer design based on generalized output for polytopic LPV system vol.783, 2017, doi:10.5370/JEET.2014.9.1.313
  3. 3. Detecting sensor fault for nonlinear systems in T–S form under sampled-data measurement: Exact direct discrete-time design approach vol.14, pp.2, 2016, doi:10.5370/JEET.2014.9.1.313
  4. 4. Robust fault detection observer design under fault sensitivity constraints vol.352, pp.5, 2015, doi:10.5370/JEET.2014.9.1.313
  5. 5. H/H fault detection and isolation for nonlinear systems with state delay in T–S form vol.353, pp.9, 2016, doi:10.5370/JEET.2014.9.1.313


연구 과제 주관 기관 : INHA UNIVERSITY