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Distributed Fault Detection and Isolation for Interconnected Systems in Finite Frequency Domains

This paper investigates the distributed fault detection and isolation problem for a class of interconnected systems with finite-frequency specifications. A set of local filters are designed to generate residual for each subsystem and a finite-frequency index is used to characterize the fault sensitivity. For the purpose of fault isolation, the filter is designed with a proper reference model which has a finite-frequency H− performance, such that the estimation error between the generated residual signal and the residual of the reference model is optimized, and the attenuation of disturbance is simultaneously considered as a H∞ performance index. Subsequently, the finite-frequency performance and attenuation performance of disturbance are characterized via convex LMI conditions. Finally, an example is given to illustrate the effectiveness and merits of the proposed method.