A Switching-Like Dynamic Event-Triggered Sliding Mode Control for T–S Fuzzy Singular Markov Jump Systems Under Hybrid Cyber-Attacks

Abstract

This article investigates the secure control problem for a class of T–S fuzzy singular Markov jump systems under limited communication resources and hybrid cyber attacks. To address the communication interruptions and hindered data updates caused by denial-of-service attacks, a novel dual dynamic switching like event triggered scheme is proposed. Meanwhile, considering multiple adverse factors including external disturbances, mode dependent deception attacks, and system parameter uncertainties, an asynchronous sliding mode controller is designed to counteract these effects, and the asynchronous phenomenon is characterized by the Hidden Markov Model. By constructing a Lyapunov functional, sufficient conditions for the stochastic admissibility of the closed-loop system under a prescribed $H_{\infty}$ performance index are derived, based on which the event-triggering weighting matrices and controller gains are obtained. Furthermore, it is rigorously proven that under the proposed sliding mode control law, the predefined sliding surface can be reached in finite time. Finally, numerical simulations conducted on a mass spring damper system demonstrate the effectiveness and superiority of the proposed scheme compared to existing methods.