H−/L∞ Fault Detection Observer Design for Uncertain Takagi-Sugeno Fuzzy Systems

This paper presents a fault detection observer design method for Takagi-Sugeno fuzzy systems in the presence of bounded parametric uncertainty, process disturbance and measurement noise. To make the proposed observer is sensitive to faults and robust to uncertainties, H _- /L _∞ performance index are applied to characterize the performance of fault sensitivity and disturbance robustness, respectively. Due to the advantages of L _∞ analysis, an intuitive dynamic threshold is also synthesized. Sufficient design conditions are derived and expressed in terms of linear matrix inequalities. Numerical simulations verify the effectiveness of the proposed method.