Model-Based Dynamic Event-Triggered Control for Cyber-Physical Systems Subject to Dynamic Quantization and DoS Attacks
Chunyu Wu, Xudong Zhao, Bohui Wang, Xing Wei, Le Liu, Xinwei Wang
Abstract
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 <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$L_{2}$</tex-math></inline-formula> stability and the existence of a minimum inter-event time (MIET). Relying on a novel Lyapunov function, we derive new sufficient conditions on <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$L_{2}$</tex-math></inline-formula> -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.