A time-delay method for networked dynamic event-triggered control

In this paper, an additional internal dynamic variable is introduced into the continuous event-triggered mechanism (ETM) and the discrete ETM, respectively, reducing the number of triggers. The closed-loop system with time-varying communication delays and dynamic event-triggered control (ETC) is modeled as a time-delay system model. The stability and stabilization criteria are derived based on Lyapunov-Krasovskii (L-K) functional method, and a tighter delay-dependent condition in terms of linear matrix inequalities (LMIs) is obtained. By solving these LMIs, we can gain a joint-design method so that the state-feedback controller gain and the event-triggered strategy are obtained at the same time. The results can provide trade-offs between required communication resources and desired control performance. The numerical simulation is carried out to show the theoretical claims at the end.