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Achieving robust average consensus over lossy wireless networks

Francesco Acciani 1 Paolo Frasca 2 Geert Heijenk 1 Anton Stoorvogel 1
2 NECS - Networked Controlled Systems
GIPSA-DA - Département Automatique, Inria Grenoble - Rhône-Alpes
Abstract : Average consensus over unreliable wireless networks can be impaired by losses. In this paper we study a novel method to compensate for the lost information, when packet collisions cause transmitter-based random failures. This compensation makes the network converge to the average of the initial states of the network, by modifying the weights of the links to accommodate for the topology changes due to packet losses. Additionally, a gain is used to increase the convergence speed, and an analysis of the stability of the network is performed, leading to a criterion to choose such gain to guarantee network stability. For the implementation of the compensation method, we propose a new distributed algorithm, which uses both synchronous and asynchronous mechanisms to achieve consensus and to deal with uncertainty in packet delivery. The theoretical results are then confirmed by simulations.
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Francesco Acciani, Paolo Frasca, Geert Heijenk, Anton Stoorvogel. Achieving robust average consensus over lossy wireless networks. IEEE Transactions on Control of Network Systems, IEEE, 2019, 6 (1), pp.127-137. ⟨10.1109/TCNS.2018.2800407⟩. ⟨hal-01699122⟩

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