Multiplex PI Control for Consensus in Networks of Heterogeneous Linear Agents

Daniel Burbano, Mario Di Bernardo

Research output: Contribution to journalArticle (Academic Journal)peer-review

62 Citations (Scopus)
238 Downloads (Pure)


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.
Original languageEnglish
Pages (from-to)310-320
Number of pages11
Early online date5 Feb 2016
Publication statusPublished - May 2016


  • Distributed control
  • Network control systems
  • Consensus
  • PI controllers
  • Multiplex networks


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