Fault Detection for 2-D Continuous-Discrete State-Delayed Systems in Finite Frequency Domains

This paper investigates the fault detection problem for two dimensional (2-D) continuous discrete state-delay Roesser systems in finite frequency domains. Two performance indexes H_{\infty } and H_{-} are used to measure the fault sensitivity and the disturbance robustness in finite frequency. Based on this, the fault detection problem is converted into a filtering problem by designing a filter to generate a residual signal. By the generalized KYP lemma, convex design conditions are obtained, which are expressed in terms of linear matrix inequalities (LMIs). An example is provided to demonstrate the feasibility and effectiveness of the proposed method.