Distributed Average Consensus based on Structural Weight-Balanceability
Cheah, Chien Chern
Date of Issue2015
School of Electrical and Electronic Engineering
This paper presents the concept of structural weight-balanceability of network systems as a useful method to examine the average consensus of the systems. We introduce the notion of structurally unobservable node based on structural observability concept to determine the structural weightbalanceability of a network. We propose a simple technique to identify structurally unobservable nodes, and consequently infer on structural weight-balanceability of the network. A mathematical method based on principal minors of the associated Laplacian matrix of the network is developed to modify a structurally weight-balanceable network into a weight-balanced one. A distributed method is presented to compute normalized principal minors in a large-scale network system with directed communication topology. This is the first work that provides a rigorous mathematical formulation to check the structural weight-balanceability of network systems and make a structurally weight-balanceable network, weightbalanced. Finally, simulation results are presented to illustrate the performance of the proposed method in dealing with networks with a large number of nodes.
Distributed average consensus
IET Control Theory & Applications
© 2015 Institution of Engineering and Technology. This is the author created version of a work that has been peer reviewed and accepted for publication by IET Control Theory and Applications, Institution of Engineering and Technology. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1049/iet-cta.2014.0251].