On the use of Anderson acceleration in hierarchical control

TL;DR

This paper explores the integration of Anderson acceleration into hierarchical control frameworks, enhancing their model-free capabilities and demonstrating improved effectiveness through numerical evaluations.

Contribution

It introduces a modified hierarchical control method utilizing Anderson acceleration, making the framework more generic and model-free compared to prior approaches.

Findings

AA-based hierarchical control is effective in numerical tests.

The modified approach enhances the flexibility of hierarchical control.

No subsystem models are needed at the upper layer.

Abstract

This paper investigates the use of fixed-point Anderson acceleration method (AA) to a recently proposed hierarchical control framework. Due to its model-free property, the AA-based resulting hierarchical framework becomes more generic since no mathematical model of the subsystems at the lower layer is required at the upper coordinator layer. Numerical results are proposed to evaluate the effectiveness of this approach. The paper also presents a modified version of the original hierarchical approach that involves the AA in hierarchical control.