Event-Triggered Control for Discrete-Time Delay Systems

Autor: Zhang, Kexue, Braverman, Elena, Gharesifard, Bahman
Rok vydání: 2022
Předmět:
Zdroj: Automatica 147 (2023) 110688
Druh dokumentu: Working Paper
DOI: 10.1016/j.automatica.2022.110688
Popis: 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.
Databáze: arXiv