Sliding Mode Control for Discrete Uncertain T-S Fuzzy Delayed Systems: Attack Detection Scheme

In this paper, the sliding mode control (SMC) problem is studied for a class of T-S fuzzy systems with random injection attacks via an attack detection strategy. Constrained by limited energy, the false data with bounded energy is injected by attacker into the communication between the sensor-to-controller to disrupt the normal transmission of the original signal. With the purpose of mitigating the impact of network attacks on the system, the energy information of the signal is encoded into a data authentication code, which enables the controller to verify the validity of the received signal. Based on the verification results, a mode-dependent sliding mode controller is designed. Subsequently, sufficient conditions and solution methods are provided for the exponentially ultimately boundedness (EUB) in the mean square sense of the system and the reachability of the sliding surface. Finally, the effectiveness of the proposed SMC algorithm is verified through a simulation example.