Fault detection asynchronous filter design for discrete-time Takagi–Sugeno fuzzy systems under cyber attacks

This paper deals with the issue of asynchronous filter design for a class of discrete-time Takagi-Sugeno (T-S) fuzzy systems subject to time-varying delays, external disturbances and cyber attacks. Precisely, the cyber attacks phenomenon in the network environment satisfies the Bernoulli distributed white noise sequences. Firstly, an asynchronous filter is constructed for estimating the unmeasured states of the system and the corresponding fault detection problem is formulated as a resilient filtering issue by which the error between residual and fault is minimized with a mixed $H_{\infty}$ and passivity performance. Secondly, the sufficient criteria are derived to ensure the filtering error system to be asymptotically stable. Finally, the applicability and usefulness of the proposed filter design method is verified through a practical example.