H /H sensor fault detection and isolation in linear time-invariant systems

  • Sung Chul Jee
  • Ho Jae LeeEmail author
  • Young Hoon Joo
Technical Notes and Correspondence


This paper addresses sensor fault detection and isolation problems for continuous- and discrete-time linear time-invariant systems. To that end, we employ a bank consisting of the same number of observers as there are sensors. Both the observer gain and the residual gain are considered. Unlike earlier work, the design conditions with H /H performance are derived in terms of linear, rather than nonlinear, matrix inequalities. An illustrative example is provided to show the effectiveness of the proposed methodology.


Fault detection and isolation linear matrix inequalities observer bank H/H performance 


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  1. [1]
    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, 2010.CrossRefGoogle Scholar
  2. [2]
    M. Mattei, G. Paviglianiti, and V. Scordamaglia, “Nonlinear observers with H performance for sensor fault detection and isolation: a linear matrix inequality design procedure,” Control Eng. Practice, vol. 13, pp. 1271–1281, 2005.CrossRefGoogle Scholar
  3. [3]
    F. Caliskan and I. Genc, “A robust fault detection and isolation method in load frequency control loops,” IEEE Trans. Power Syst., vol. 23, pp. 1756–1767, 2008.CrossRefGoogle Scholar
  4. [4]
    L. Giovanini and R. Dondo, “A fault detection and isolation filter for discrete linear systems,” ISA Trans., vol. 42, pp. 643–649, 2003.CrossRefGoogle Scholar
  5. [5]
    X. Wei and M. Verhaegen, “LMI solutions to the mixed H /H fault detection observer design for linear parameter-varying systems,” Int. J. Adap. Control Signal Process., vol. 25, no. 2, pp. 114–136, 2011.MathSciNetzbMATHCrossRefGoogle Scholar
  6. [6]
    R. Douglas and J. Speyer, “Robust fault detection filter design,” J. Guid. Control Dyn., vol. 19, no. 1, pp. 214–218, 1996.zbMATHCrossRefGoogle Scholar
  7. [7]
    D. Du, B. Jiang, and P. Shi, “Fault estimation and accommodation for switched systems with time-varying delay,” Int. J. Control Autom. Syst., vol. 9, pp. 442–451, 2011.CrossRefGoogle Scholar
  8. [8]
    M. Bouattour, M. Chadli, M. Chaabane, and A. El Hajjaji, “Design of robust fault detection observer for Takagi-Sugeno models using the descriptor approach,” Int. J. Control Autom. Syst., vol. 9, no. 5, pp. 973–979, 2011.CrossRefGoogle Scholar
  9. [9]
    C. D. Persis and A. Isidori, “A geometric approach to nonlinear fault detection and isolation,” IEEE Trans. Autom. Control, vol. 46, no. 6, pp. 853–865, June 2001.zbMATHCrossRefGoogle Scholar
  10. [10]
    P. M. Frank, “Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy: a survey and some new results,” Automatica, vol. 26, pp. 459–474, May 1990.zbMATHCrossRefGoogle Scholar
  11. [11]
    A. Casavola, D. Famularo, and G. Franzè, “A robust deconvolution scheme for fault detection and isolation of uncertain linear systems: an LMI approach,” Automatica, vol. 41, no. 8, pp. 1463–1472, 2005.MathSciNetzbMATHCrossRefGoogle Scholar
  12. [12]
    J. L. Wang, G.-H. Yang, and J. Liu, “An LMI approach to H index and mixed H /H fault detection observer design,” Automatica, vol. 43, no. 9, pp. 1656–1665, 2007.MathSciNetzbMATHCrossRefGoogle Scholar
  13. [13]
    J. Guo, X. Huang, and Y. Cui, “Design and analysis of robust fault detection filter using LMI tools,” Comput. Math. Appl., vol. 57, pp. 1743–1747, 2009.MathSciNetzbMATHCrossRefGoogle Scholar

Copyright information

© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.School of Electronic EngineeringInha UniversityIncheonKorea
  2. 2.Department of Control and Robotics EngineeringKunsan National UniversityKunsan, ChonbukKorea

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