Finite-Time Resilient Filtering for Discrete-Time T–S Fuzzy Networked Control Systems With Switching Communication Channels Under Cyber Attacks

This article addresses the problem of finite-time filtering for a class of discrete-time Takagi-Sugeno (T-S) fuzzy-model-based networked control systems (NCSs) subject to switching communication channels and cyber attacks. Specifically, the fluctuations of the state estimator gain parameters are taken into account in the design of the filter. Further, cyber attacks are supposed to take place in the communication channel and can modify the sensor signals by injecting false data if an attack is successful. Meanwhile, the transition probability of the Markov process is a switching phenomenon along with the minimum and maximum bounds of the multichannel communication scheme. By employing appropriate Lyapunov–Krasovskii functional along with reciprocally convex approach, a set of sufficient conditions guaranteeing the finite-time mixed <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$H_\infty$</tex-math></inline-formula> and passivity performance for NCSs are derived in terms of linear matrix inequalities. In the end, two illustrated examples quantify the effectiveness of the proposed analysis and filter design method.