Robust sliding mode observer design for simultaneous fault reconstruction in perturbed Takagi-Sugeno fuzzy systems using non-quadratic stability analysis

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DOI

  • Samira Asadi, Shiraz University
  • ,
  • Alireza Khayatian
  • ,
  • Maryam Dehghani, Shiraz University
  • ,
  • Navid Vafamand
  • ,
  • Mohammad Hassan Khooban
Appearing faults in a practical system is dispensable, and if it is not compensated, it results in poor system performance or even dysfunction of the system. The fault detection has become a promising challenging issue to guarantee the safety and reliability of systems. In this paper, a novel fuzzy-based sliding mode observer for the simultaneous actuator and sensor fault reconstruction of nonlinear systems subjected to external disturbance is proposed. The proposed approach employs the Takagi-Sugeno fuzzy model, sliding mode observer and non-quadratic Lyapunov function. First, by filtering the system output, a fictitious system whose actuator faults are the original actuator and sensor faults is constructed. Then, by considering the H∞ performance criteria, the effect of disturbance on the state estimations is minimized. It is proved that the estimations asymptotically converge to their actual values for non-perturbed systems. In the process of designing the observer gains, some transformation matrices are obtained by solving linear matrix inequalities. The proposed approach has some superiority over the existing methods. First, considering the non-quadratic Lyapunov function leads to relaxed results and good estimation performance. Second, using the sliding mode observer makes the proposed approach insensitive to the uncertainties and unknown inputs and determines the shape and size of the fault. Third, assuming the premise variables are immeasurable makes the presented approach more applicable. In conclusion, two practical systems are considered and simulation results illustrate the merits of the proposed approach in comparison with the recent methods from the fast and precise fault detection performance viewpoints.
Original languageEnglish
Article number1077546319891693
JournalJournal of Vibration and Control
Volume26
Issue11-12
Pages (from-to)1092-1105
Number of pages14
ISSN1077-5463
DOIs
Publication statusPublished - Jun 2020

    Research areas

  • H performance, Takagi-Sugeno fuzzy system, actuator fault, linear matrix inequalities, non-quadratic Lyapunov function, robust fault reconstruction, sensor fault, sliding mode observer, UNKNOWN INPUT OBSERVER, STATE, COMBINATION, LOGIC, H-infinity performance, NONLINEAR-SYSTEMS, TOLERANT CONTROL, SIMULTANEOUS ACTUATOR

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