Event-Triggered Control for Discrete-Time Delay Systems
Abstract
This study focuses on event-triggered control of nonlinear discrete-time systems with time delays. Based on a Lyapunov-Krasovskii type input-to-state stability result, we propose a novel event-triggered control algorithm that works as follows. The control inputs are updated only when a certain measurement error surpasses a dynamical threshold depending on both the system states and the evolution time. Sufficient conditions are established to ensure that the closed-loop system maintains its asymptotic stability. It is shown that the time-dependent portion in the dynamical threshold is essential to derive the lower bound of the times between two consecutive control updates. As a special case of our results, we demonstrate the performance of the designed event-triggering algorithm for a class of linear control systems with time delays. Numerical simulations are provided to demonstrate the effectiveness of our algorithm and theoretical results.
Cite
@article{arxiv.2209.07560,
title = {Event-Triggered Control for Discrete-Time Delay Systems},
author = {Kexue Zhang and Elena Braverman and Bahman Gharesifard},
journal= {arXiv preprint arXiv:2209.07560},
year = {2022}
}