Event-Triggered Control for Nonlinear Time-Delay Systems

TL;DR

This paper introduces a new event-triggered control scheme for nonlinear systems with time delays, ensuring stability and avoiding Zeno behavior through tunable parameters and Lyapunov functionals.

Contribution

A novel event-triggering scheme with tunable parameters is developed for nonlinear time-delay systems, guaranteeing stability and excluding Zeno behavior.

Findings

Guarantees global asymptotic stability

Ensures uniform boundedness of solutions

Provides conditions to prevent Zeno behavior

Abstract

This article studies the event-triggered control problem of general nonlinear systems with time delay. A novel event-triggering scheme is presented with two tunable design parameters, based on a Lyapunov functional result for the input-to-state stability of time-delay systems. The proposed event-triggered control algorithm guarantees the resulting closed-loop systems to be globally asymptotically stable, uniformly bounded, and/or globally attractive for different choices of these parameters. Sufficient conditions on the parameters are derived to exclude Zeno behavior. Two illustrative examples are studied to demonstrate our theoretical results.