Asynchronous Event-Triggered Control for Two-Time-Scale CPSs with Dual-Scale Channel: Dealing with Hybrid Attacks

This article focuses on the observer-based asynchronous event-triggered (AET) security control for two-time-scale cyber-physical systems (TTSCPSs), which have slow and fast transmission channels (TCs) subject to hybrid attacks. A novel hybrid-attack model comprising denial-of-service (DoS) and deception attacks is characterized, which independently occurs on slow and fast TCs in consideration of their dual-scale feature. Then, a novel dual-rate-sampled AET scheme is adopted to orchestra individual transmitting order of slow and fast TCs, respectively, by which we, as the first attempt, construct the AET security control framework. An $\varepsilon$ -dependent switched Lyapunov function is designed to accomplish the security control task for the specified TTSCPSs, such that the closed-loop system acquires a prescribed $H_{\infty }$ index in the simultaneous existence of external disturbances and hybrid attacks. Furthermore, within the established design framework, the desired switched observer gain is quantized by solving the proposed criteria in the form of linear matrix inequalities, while the possible numerical stiffness is also averted. Finally, an inverted pendulum simulation is set up in the networked environment to demonstrate the effectiveness of the developed control strategy.