Fault Detection Filter for Uncertain Two-dimensional Continuous-discrete State-delayed Systems in Finite Frequency Domains

This paper investigates the fault detection problem of fault detection filter for uncertain two dimensional (2-D) con-tinuous discrete state-delay Roesser systems in finite frequency domains. By using the generalized KYP lemma, a fault detection filter is designed to guarantee the fault sensitivity and the disturbance robustness of the residual system in finite frequency do-mains. Based on the slack matrix technique, sufficient conditions are obtained in the form of linear matrix inequality (LMI). The desired fault detection filter can be designed by solving a set of LMIs. An example is provided to demonstrate the feasibility and effectiveness of the proposed method.