Security Control for Multi-Time-Scale CPSs Under DoS Attacks: An Improved Dynamic Event-Triggered Mechanism

This article is concerned with the event-based security control problem for a class of multi-time-scale cyber physical systems (MTSCPSs) subject to DoS attacks. To tackle the difficulties caused by DoS attacks and the multi-time-scale feature (MTSF), a security control framework is developed to co-design the switched controller and event-triggered mechanism (ETM). An improved dynamic ETM is proposed, with which the closed-loop system can achieve a better control performance than traditional dynamic ETMs in the transient process. A novel
$\epsilon$
-dependent Lyapunov-Krasovskii functional is also established, via which sufficient conditions are derived to ensure the
$H_{\infty }$
performance index of the closed-loop system and further cope with the ill-conditioned numerical issues generated by the MTSF. Finally, a simulation on a mini mining-tram drive control system is presented to demonstrate the correctness and merits of the proposed algorithm.