Multiplex PI-Control for Consensus in Networks of Heterogeneous Linear Agents

TL;DR

This paper introduces a multiplex PI-control method for achieving consensus in heterogeneous linear agent networks with disturbances, utilizing separate control layers with distinct topologies.

Contribution

It presents a novel multiplex PI-control framework with derived convergence conditions tailored for heterogeneous networks with disturbances.

Findings

Convergence conditions depend on network structure and control parameters.

The method is validated on a power network model.

Effective in achieving consensus despite disturbances.

Abstract

In this paper, we propose a multiplex proportional-integral approach, for solving consensus problems in networks of heterogeneous nodes dynamics affected by constant disturbances. The proportional and integral actions are deployed on two different layers across the network, each with its own topology. Sufficient conditions for convergence are derived that depend upon the structure of the network, the parameters characterizing the control layers and the node dynamics. The effectiveness of the theoretical results is illustrated using a power network model as a representative example.