H ∞ $$ {\boldsymbol{H}}_{\mathbf{\infty}} $$ Control With Event-Triggered Mechanism for T-S Fuzzy System Under Multiple Cyber-Attacks

Abstract

The problem of event-triggered $H_{\infty }$ control for networked Takagi–Sugeno (T-S) fuzzy system under aperiodic DoS attacks and deception attacks is investigated. First, an event generator is introduced in the Sensor-to-Controller channel to determine the transmission of data. At the same time, the Sensor-to-Controller channel is assumed to be subjected to deception attacks that are randomly distributed but not Bernoulli distributed. Next, the impact of aperiodic DoS attacks on the Controller-to-Actuator channel is further considered, and the DoS attack behavior is described in terms of attack period and frequency. The article designs an adaptive resilience event-triggered mechanism (ARETM), which is aimed at circumventing the ineffective data updating in the “active” phase of the DoS attacks, thereby realizing the effective saving of communication resources and mitigating the adverse effects of DoS attacks. Then, the switched fuzzy system is established to cope with the different states of the DoS attackers. Using the piecewise Lyapunov function, a design method for the controller gains and the ARETM matrix is obtained, which allows the system to be stabilizable and obtain $H_{\infty }$ performance under the control action. Finally, the effectiveness of the ARETM-based control strategy is confirmed by simulation experiment.