Robust fault detection for nonlinear time-delay systems based on fuzzy observer

Robust fault detection method based on fuzzy sliding mode observers is developed for a class of uncertain nonlinear systems with time-delay. The uncertain Takagi-Sugeno fuzzy model with time-delay is adopted for fuzzy modeling of nonlinear system to reduce the modeling error, and a synthesis method of the design of sliding mode observers is introduced to generate the estimate state error and residual then to eliminate the effect of the unknown uncertainties of the system for avoiding false alarms, the synthesis method of the observers is presented via solving LMIs. Finally, a simulation example is given to show the design procedure and illustrate the effectiveness of the proposed method.