H/H fault detection observer design for fractional-order singular systems in finite frequency domains.

This paper investigates the robust fault detection observer design problem in finite frequency domains for fractional-order singular systems. An H/H fault detection observer for fractional-order singular systems is designed to meet the system admissibility, disturbance robustness and fault sensitivity indices in finite frequency domains simultaneously. Four theorems and four corollaries about the system admissibility and the performance index H/H in different frequency ranges are given, and then the sufficient conditions are obtained in terms of linear matrix inequalities. Finally, two numerical examples are given to verify the validity of the presented methods.