Communication constraints in the average consensus problem

  • Authors:
  • Ruggero Carli;Fabio Fagnani;Alberto Speranzon;Sandro Zampieri

  • Affiliations:
  • Department of Information Engineering, Universití di Padova, Via Gradenigo 6/a, 35131 Padova, Italy;Dipartimento di Matematica, Politecnico di Torino, C.so Duca degli Abruzzi, 24, 10129 Torino, Italy;School of Electrical Engineering, Royal Institute of Technology, Osquldasväg 10, SE-10044 Stockholm, Sweden;Department of Information Engineering, Universití di Padova, Via Gradenigo 6/a, 35131 Padova, Italy

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2008

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Abstract

The interrelationship between control and communication theory is becoming of fundamental importance in many distributed control systems, such as the coordination of a team of autonomous agents. In such a problem, communication constraints impose limits on the achievable control performance. We consider as instance of coordination the consensus problem. The aim of the paper is to characterize the relationship between the amount of information exchanged by the agents and the rate of convergence to the consensus. We show that time-invariant communication networks with circulant symmetries yield slow convergence if the amount of information exchanged by the agents does not scale well with their number. On the other hand, we show that randomly time-varying communication networks allow very fast convergence rates. We also show that by adding logarithmic quantized data links to time-invariant networks with symmetries, control performance significantly improves with little growth of the required communication effort.