Selection of overlapping interaction through approximate decentralized fixed mode measure

TL;DR

This paper proposes a novel method for selecting overlapping control structures to eliminate decentralized fixed modes using an approximate measure, and offers a framework to enhance control cost efficiency, demonstrated through numerical examples.

Contribution

It introduces an approximate measure for selecting overlapping control structures to remove fixed modes, improving control cost via overlapping control.

Findings

Effective removal of fixed modes demonstrated

Control cost improved through overlapping control

Numerical examples validate the approach

Abstract

This work considers the problem of selecting overlapping control structures to remove decentralized fixed modes. The selection of such controller is conventionally carried out based on minimal overlapping communications. In this paper, this selection is proposed to be through approximate decentralized fixed mode measure. Also, a framework for improving the control cost of approximate decentralized fixed modes through overlapping control is given. Application of the proposed selection is demonstrated through several numerical examples.