Design of robust fault detection observer for Takagi-Sugeno models using the descriptor approach

  • Maha Bouattour
  • Mohammed ChadliEmail author
  • Mohamed Chaabane
  • Ahmed El Hajjaji
Technical Notes and Correspondence


This paper deals with the design of a robust fault detection observer for a Takagi-Sugeno (T-S) fuzzy model affected by sensor and actuator faults and unknown bounded disturbances simultaneously. An observer based on the technique of descriptor systems is studied. Indeed, by considering faults as auxiliary state variables, both states and faults are estimated simultaneously. In order to guarantee the best robustness to disturbances and sensitivity to faults, the developed observer combine the H /H performances. Then, based on Lyapunov method, asymptotic stability conditions are given to design the observer parameters. In order to get convenient and reliable faults estimator in computations, an iterative linear matrix inequality (LMI) algorithm is developed. This algorithm, solved easily using existing numerical tools, allows to minimize influences of disturbances and maximize the ones of faults. Finally, a numerical example is proposed to illustrate the effectiveness of the result.


Disturbances fault detection H/H performances LMI Lyapunov observer T-S fuzzy models 


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Copyright information

© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg  2011

Authors and Affiliations

  • Maha Bouattour
    • 1
    • 2
  • Mohammed Chadli
    • 1
    Email author
  • Mohamed Chaabane
    • 2
  • Ahmed El Hajjaji
    • 1
  1. 1.Laboratory of “modélisation, Information et Systèmes”, UPJV-MISUniversity of Picardie Jules VerneAmiensFrance
  2. 2.Electrical Engineering DepartmentNational Engineering School of SfaxSfaxTunisie

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