Finite frequency fault detection observer design for 2-D continuous-discrete systems in Roesser model

This paper is concerned with the problem of fault detection (FD) observer design in finite frequency domain for two-dimensional (2-D) continuous-discrete systems described by Roesser model. Two finite frequency performance indexes are introduced to measure the fault sensitivity and the disturbance robustness. On the base of the generalized Kalman-Yakubovich-Popov (KYP) lemma in 2-D continuous-discrete case, sufficient conditions ensuring simultaneously stability and finite frequency performance are derived in terms of linear matrix inequalities (LMIs). Simulation results are given to illustrate the effectiveness of the proposed method.