Articolo in rivista, 2021, ENG, 10.1109/TAC.2020.3009173

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

Borri, Alessandro; Pepe, Pierdomenico

Consiglio Nazionale delle Ricerche; Università degli Studi dell'Aquila

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.

IEEE transactions on automatic control (Print) 66 (6), pp. 2846–2853

Keywords

Control Lyapunov-Razumikhin functions (CLRFs), event-triggered control, nonconstant delays, nonlinear sampled-data stabilization, time-delay systems

CNR authors

Borri Alessandro

CNR institutes

IASI – Istituto di analisi dei sistemi ed informatica "Antonio Ruberti"