Model-Based Dynamic Event-Triggered Control for Cyber-Physical Systems Subject to Dynamic Quantization and DoS Attacks

In this article, the problem of model-based dynamic event-triggered control (ETC) of cyber-physical systems (CPSs) with dynamic quantization effects and denial-of-service (DoS) attacks is studied. With the aid of a technique combining model-based CPSs and dynamic ETC scheme, the number of transmissions is significantly reduced to save the scarce network resources. An average dwell-time (ADT) automaton and a time-ratio monitor are firstly introduced to ETC systems to describe the frequency and duration of the DoS attacks, then a unified hybrid framework of CPSs with dynamic quantizer is established. In the presence of external disturbances, quantization effects and DoS attacks, by following the emulation approach some event-triggering conditions are designed to allow the robustness, the $L_{2}$ stability and the existence of a minimum inter-event time (MIET). Relying on a novel Lyapunov function, we derive new sufficient conditions on $L_{2}$ -gain performance of CPSs. Moreover, the Zeno phenomenon in the quantized ETC system is excluded due to the existence of a positive MIET. Finally, a numerical example is provided to demonstrate the feasibility of the approach proposed in this paper.