Discontinuities and hysteresis in quantized average consensus

  • Authors:
  • Francesca Ceragioli;Claudio De Persis;Paolo Frasca

  • Affiliations:
  • Dipartimento di Matematica, Politecnico di Torino, Torino, Italy;Lab. Mechanical Automation and Mechatronics, University of Twente, Enschede, The Netherlands and Dip. Informatica e Sistemististica, Sapienza Universití di Roma, Roma, Italy;Dipartimento di Matematica, Politecnico di Torino, Torino, Italy

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2011

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Abstract

We consider continuous-time average consensus dynamics in which the agents' states are communicated through uniform quantizers. Solutions to the resulting system are defined in the Krasowskii sense and are proven to converge to conditions of ''practical consensus''. To cope with undesired chattering phenomena we introduce a hysteretic quantizer, and we study the convergence properties of the resulting dynamics by a hybrid system approach.