Explicit Reference Governor for the Constrained Control of Time-Delayed Linear Systems

TL;DR

This paper presents an explicit reference governor method for controlling time-delayed linear systems with constraints, utilizing invariant sets based on Lyapunov techniques, validated through numerical and experimental results.

Contribution

It introduces a novel explicit reference governor framework for constrained time-delay systems using Lyapunov-based invariant sets, with comprehensive validation.

Findings

Effective constraint handling in time-delayed systems

Validation through numerical simulations

Experimental demonstration of the approach

Abstract

This paper introduces an explicit reference governor approach for controlling time delay linear systems subject to state and input constraints. The proposed framework relies on suitable invariant sets that can be built using both Lyapunov-Razumikhin and Lyapunov-Krasovskii arguments. The proposed method is validated both numerically and experimentally using several alternative formulations.