Adaptive Decentralized Fuzzy Resilient Control for Large-Scale Nonlinear Systems Against Stochastic Disturbances and DoS Attacks

In this article, considering denial-of-service (DoS) attacks and stochastic disturbances, the adaptive decentralized fuzzy security problem of a family of large-scale nonlinear systems is addressed. To mitigate the adverse effects from DoS attack, a compensator is constructed to model the output signals, and a compensator-based estimator that utilizes the designed compensator signals is designed to acquire the unmeasurable state variables. Then, an estimator-based secure control scheme is proposed by employing the adaptive backstepping technique against DoS attacks, where the unknown nonlinearities are approximated through fuzzy logic systems (FLSs) due to their powerful approximation capability. By combining of Lyapunov stability theory and a modified average dwell time (ADT) method that incorporates the constraints imposed on DoS attacks, the stability of the closed-loop system is established. Moreover, the controller guarantees the convergence of tracking errors to a vicinity of the origin even under DoS attacks, and all signals remain semi-globally uniformly ultimately bounded (SGUUB) in probability. Eventually, the validity of the established solution is examined in a simulation example.