Discrete-Time Implementation of Explicit Reference Governor

TL;DR

This paper explores how to effectively implement the explicit reference governor (ERG) in discrete time, ensuring constraint satisfaction and convergence, supported by simulations and experiments.

Contribution

It provides conditions for maintaining ERG's feasibility and convergence when implemented discretely, bridging the gap between theory and practical application.

Findings

Discrete-time implementation preserves constraint satisfaction.

Conditions ensure convergence in discrete-time ERG.

Validated through extensive simulations and experiments.

Abstract

Explicit reference governor (ERG) is an add-on unit that provides constraint handling capability to pre-stabilized systems. The main idea behind ERG is to manipulate the derivative of the applied reference in continuous time such that the satisfaction of state and input constraints is guaranteed at all times. However, ERG should be practically implemented in discrete-time. This paper studies the discrete-time implementation of ERG, and provides conditions under which the feasibility and convergence properties of the ERG framework are maintained when the updates of the applied reference are performed in discrete time. The proposed approach is validated via extensive simulation and experimental studies.