Tutorial on Dynamic Average Consensus: the problem, its applications, and the algorithms

Solmaz S. Kia, Brian Van Scoy, Jorge Cortés, Randy Freeman, Kevin M. Lynch, and Sonia Martínez
IEEE Control Systems magazine, 39 (3) (2019) 40-72

Abstract:

This paper considers the problem of dynamic average consensus algorithm design for a group of communicating agents. This problem consists of designing a distributed algorithm that enables a group of agents with communication and computation capabilities to use local interactions to track the average of locally time-varying reference signals at each agent. The objective of this article is to provide an overview of the dynamic average consensus problem that serves as a comprehensive introduction to the problem definition, its applications, and the distributed methods available to solve them. Our primary intention, rather than providing a full account of all the available literature, is to introduce the reader, in a tutorial fashion, to the main ideas behind dynamic average consensus algorithms, the performance trade-offs considered in their design, and the requirements needed for their analysis and convergence guarantees.

File: (ArXiv version)

Bib-tex entry:

@article{SSK-BVS-JC-RF-KML-SM:19-csm,
author = {S. S. Kia and B. Van Scoy and R. Freeman and K. M. Lynch and and S. Mart{\'\i}nez},
title = {Tutorial on Dynamic Average Consensus: the problem, its applications, and the algorithms},
journal= {IEEE Control Systems Magazine},
pages = {1246--1256},
volume = {39},
number = {3},
pages = {40--72},
year = {2019}
}