Sliding mode tracking control for discrete-time fuzzy systems with DoS attacks under adaptive event-triggered WTOD protocol

This work explores the sliding mode tracking control problem of discrete-time T-S fuzzy systems (TSFSs) with DoS attacks under adaptive event-triggered weighted try-once discard (WTOD) protocol. A privacy protection function is introduced to safeguard the security of the reference model. Based on this upon, an augmented system is constructed. An adaptive event triggered WTOD protocol for the augmented systems is proposed, which can not only adaptively adjust threshold parameters, but also dynamically adjust sensor transmission nodes. A sliding mode control (SMC) law depending on transmission nodes and mismatched membership functions are designed to reduce the conservatism of the result. Relaxed sufficient conditions to ensure the stochastic stability of system and the reachability of sliding mode surface (SMS) are derived via matrix inequalities. Finally, two examples are provided to illustrate practicality of the suggested approach.