H∞ Control of Singular System Based on Stochastic Cyber-Attacks and Dynamic Event-Triggered Mechanism

A dynamic event-triggered
$\mathcal {H}_{\infty }$
controller of the singular system based on stochastic cyber-attacks is studied in this article. To save network resources, a novel way is given, the cyber-attacks are considered as phenomena randomly occurring via network communication. First, sufficient conditions are derived, which ensure the closed-loop singular system to be regular, impulse free and asymptotically stable under a prescribed
$\mathcal {H}_{\infty }$
norm bound. Second, from some elegant linearization techniques, the method of design corresponding controller is put forward. Finally, some examples are given to illustrate the effectiveness of the obtained theoretical results.