Event-Triggered Control of Nonlinear Systems With Time-Varying State Delays

• 成果类型: Article
• 署名作者: Borri, Alessandro; Pepe, Pierdomenico
• 署名单位: Consiglio Nazionale delle Ricerche (CNR); University of L'Aquila
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2020.3009173
• 发表日期: 2021
• 页码: 2846-2853
• 关键词: Delays; Delay effects; control systems; Nonlinear systems; Time-varying systems; monitoring; asymptotic stability; Control Lyapunov– Razumikhin functions (CLRFs); event-triggered control; nonconstant delays; nonlinear sampled-data stabilization; time-delay systems

摘要

Nonlinear systems with time delays have been object of intense investigation in the last decades for their ability of capturing the behavior of many natural and engineering systems, including ecological, biomedical, industrial, robotic, and networked systems. In this article, a method for the event-triggered stabilization in the sample-and-hold sense of nonlinear time-delay systems with time-varying state delays is presented. The approach exploits control Lyapunov-Razumikhin functions and a spline-based approximation of the functional state feedback, resulting in a finite-memory controller that avoids (by construction) continuous-state monitoring while ensuring also that the minimal interevent time is strictly positive. Examples of application of the illustrated technique highlight the potential of the approach taken.