H_/H∞ fault detection observer design for fractional-order singular systems

This paper studies the fault detection observer design problem for fractional-order singular systems. A singular H
−
/H
∞
observer is designed to meet the system admissibility, fault sensitivity and disturbance robustness indices simultaneously. Three theorems about the H
−
/H
∞
performance and observer design are given. Sufficient conditions are obtained in the form of linear matrix inequalities. Finally, numerical simulation is used to test the correctness and validity of the presented theorems and methods.