Observer-based non-fragile control for T-S fuzzy switched systems against cyber attacks: A double-layer PDT switching method

This paper mainly investigates the observer-based non-fragile control issue for a class of T-S fuzzy switched systems under cyber attacks. Firstly, the system under consideration comprises a finite number of subsystems governed by the switching logic subject to the persistent dwell-time constraints, with each local subsystem represented by a T-S fuzzy model. Secondly, the switching logic with persistent dwell-time constraints is also used to make assumptions about the frequency and duration of attacks, and the system under cyber attacks is constructed as a double-layer switched system that satisfies two independent rules simultaneously. In addition, a non-fragile control strategy relying on observed states is developed, and the criterion for the global exponential stability and the synthesis conditions for the observer/controller are established by constructing a Lyapunov function associated with two switching signals. Finally, an electric circuit model is simulated to demonstrate the feasibility of the method.