摘要

This paper deals with the fault detection observer design problem in finite frequency domain for linear time-invariant continuous-time systems with bounded disturbances. Two finite frequency performance indexes are introduced to measure the fault sensitivity and the disturbance robustness. Faults are considered in the low frequency domain while disturbances are considered in certain finite frequency domain. With the aid of the Generalized Kalman-Yakubovich-Popov lemma, the design methods are presented in terms of solutions to a set of linear matrix inequalities. An example of the VTOL aircraft is Studied to illustrate the effectiveness of the proposed method.