Dynamic event‐triggered control for singularly perturbed systems

In this paper, we consider event‐triggered control for linear singularly perturbed systems. A composite event‐triggered controller is proposed based on the decoupled slow and fast subsystems which are triggered simultaneously. Two internal dynamic variables are introduced in the event‐triggered mechanism. The results indicate that the systems can achieve asymptotic stability with the proposed event‐triggered control. In addition, the triggering time intervals have a finite lower bound independent of the initial states, thus Zeno phenomenon is excluded. The efficiency of the approach is illustrated through simulation examples.