Sensor fault detection for linear continuous-time systems

This paper deals with the sensor fault detection problem for linear time-invariant continuous-time systems with disturbances and sensor noises. Two finite frequency performance indexes are introduced to increase the fault sensitivity and attenuate the effects of disturbances and noises. Different from the existing techniques, the recently developed Generalized Kalman-Yakubovich-Popov (GKYP) lemma is applied in this paper to treat the finite frequency performance indexes directly, completely avoiding the complexity of weighting functions of the existing approaches. The design methods are presented in terms of solutions to a set of linear matrix inequalities (LMIs). A numerical example is studied to illustrate the effectiveness of the proposed method.