4.7 Article

Discontinuities and hysteresis in quantized average consensus

Journal

AUTOMATICA
Volume 47, Issue 9, Pages 1916-1928

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2011.06.020

Keywords

Average consensus; Quantization; Generalized solutions; Hysteresis; Hybrid system

Funding

  1. MIUR
  2. Progetto Ricercatori AST
  3. Johns Hopkins University Applied Physics Laboratory

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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. (C) 2011 Elsevier Ltd. All rights reserved.

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