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Using a linear gain to accelerate average consensus over unreliable networks

Francesco Acciani 1 Paolo Frasca 2 Geert Heijenk 1 Anton Stoorvogel 1
2 NECS [2007-2015] - Networked Controlled Systems
Inria Grenoble - Rhône-Alpes, GIPSA-DA [2007-2015] - Département Automatique
Abstract : — Packet loss is a serious issue in wireless consensus networks, as even few failures might prevent a network to converge to the correct value. However, it is possible to compensate for the errors caused by packet collisions, by modifying the updating weights. Such a modification compensates for the loss of information in an unreliable network, but results in a reduced convergence speed. In this paper, we propose a faster method – based on a suitable gain in the consensus dynamics – to solve the unreliable average consensus problem. We find a sufficient condition for the gain to preserve stability of the network. Simulations are used to discuss the choice of the gain, and to compare our method with the literature.
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Francesco Acciani, Paolo Frasca, Geert Heijenk, Anton Stoorvogel. Using a linear gain to accelerate average consensus over unreliable networks. 56th IEEE Conference on Decision and Control (CDC 2017), Dec 2017, Melbourne, Australia. pp.3569-3574. ⟨hal-01614110⟩

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