Decentralized identification for errors-in-variables systems based on a consensus algorithm

Miloš S. Stanković, Srdjan S. Stanković, Dušan M. Stipanović

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper a new consensus based algorithm for decentralized recursive estimation of parameters in linear discrete-time stochastic errors-in-variables MIMO systems is proposed. One starts from a multi-agent setting, in which an agent has access only to a subset of noisy input-output variables. The proposed algorithm consists of two stages. The first stage is based on a combination of local stochastic approximation algorithms for estimating input-output covariance functions based on locally available measurements and a dynamic first order consensus scheme. At the second stage each agent utilizes a stochastic approximation algorithm with expanding truncations for generating all system parameter estimates on the basis of current estimates of the matrices in the modified Yule-Walker equations obtained at the first stage. In the given convergence analysis it is proved that the estimates of the covariance functions and the overall parameter estimates converge almost surely to their true values under appropriate assumptions concerning system properties and the multi-agent network topology.

Original languageEnglish (US)
Title of host publication2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Pages2951-2956
Number of pages6
DOIs
StatePublished - Dec 1 2011
Event2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States
Duration: Dec 12 2011Dec 15 2011

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Other

Other2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
CountryUnited States
CityOrlando, FL
Period12/12/1112/15/11

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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  • Cite this

    Stanković, M. S., Stanković, S. S., & Stipanović, D. M. (2011). Decentralized identification for errors-in-variables systems based on a consensus algorithm. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 (pp. 2951-2956). [6161186] (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2011.6161186