NDLI: Step size analysis in discrete-time dynamic average consensus

Content Provider	IEEE Xplore Digital Library
Author	Montijano, E. Montijano, J.I. Sagues, C. Martinez, S.
Copyright Year	2014
Description	Author affiliation: Dept. of Mech. & Aerosp. Eng., Univ. of California, San Diego, La Jolla, CA, USA (Martinez, S.) \|\| Inst. de Investig. en Ing. de Aragon (I3A), Centro Univ. de la Defensa (CUD), Zaragoza, Spain (Montijano, E.) \|\| Dept. de Inf. e Ing. de Sist., Univ. de Zaragoza, Zaragoza, Spain (Sagues, C.) \|\| Dept. de Mat. Aplic., Univ. de Zaragoza, Zaragoza, Spain (Montijano, J.I.)
Abstract	This paper deals with the problem of reaching the average consensus of a set of time-varying reference signals in a distributed manner. We analyze the approach initially presented in [1], giving an alternative proof of convergence which leads to larger, more realistic bounds on the step sizes that guarantee a steady-state error upper-bounded by a given constant. The interest of the new results appear when the algorithm is used in real networks, where there are constraints in the communication rate between the nodes. We derive the bounds for the cases of fixed and time-varying communication topologies, as well as for different orders of the algorithm. We demonstrate that our bounds always allow substantially bigger step sizes than those in [1], independently of the number of nodes or the topology. Moreover, for a fixed step size and steady-state error, we show how there is a corresponding algorithm that can guarantee that the error is no larger than the desired one, using that step size. Finally, simulation results corroborate the theoretical findings of the paper.
Starting Page	5127
Ending Page	5132
File Size	516795
Page Count	6
File Format	PDF
ISBN	9781479932726
ISSN	07431619
e-ISBN	9781479932740
DOI	10.1109/ACC.2014.6859239
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-06-04
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Steady-state Topology Heuristic algorithms Eigenvalues and eigenfunctions Equations Network topology Convergence Networked control systems Agents-based systems Sensor fusion
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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