Hybrid Event-Triggered and Impulsive Control for Time-Delay Systems

TL;DR

This paper introduces a hybrid control strategy combining event-triggered and impulsive control to stabilize nonlinear time-delay systems, effectively preventing Zeno behavior and validated through numerical simulations.

Contribution

It proposes a novel hybrid impulsive and event-triggered control algorithm for nonlinear time-delay systems with stability guarantees.

Findings

Successfully stabilizes nonlinear time-delay systems

Prevents Zeno behavior in event-triggered control

Validated effectiveness through numerical simulations

Abstract

In this paper, we study the problem of hybrid event-triggered control for a class of nonlinear time-delay systems. Using a Razumikhin-type input-to-state stability result for time-delay systems, we design an event-triggered control algorithm to stabilize the given time-delay system. In order to exclude Zeno behavior, we combine the impulsive control mechanism with our event-triggered strategy. In this sense, the proposed algorithm is a hybrid impulsive and event-triggered strategy. Sufficient conditions for the stabilization of the nonlinear systems with time delay are obtained by using Lyapunov method and Razumikhin technique. Numerical simulations are provided to show the effectiveness of our theoretical results.