Distributed average consensus: beyond the realm of linearity

Authors:
Usman A. Khan;Soummya Kar;José M. F. Moura
Affiliations:
Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA;Department of Electrical and Computer Engineering, Carnegie Mellon University, Pittsburgh, PA;Department of Electrical and Computer Engineering, Carnegie Mellon University, Pittsburgh, PA
Venue:
Asilomar'09 Proceedings of the 43rd Asilomar conference on Signals, systems and computers
Year:
2009

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Linear high-order distributed average consensus algorithm in wireless sensor networks

EURASIP Journal on Advances in Signal Processing

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Abstract

In this paper, we present a distributed average-consensus algorithm with non-linear updates. In particular, we use a weighted combination of the sine of the state differences among the nodes as a consensus update instead of the conventional linear update that just includes a weighted combination of the state differences. We show the non-linear average-consensus converges to the initial average under appropriate conditions on the weights. By simulations, we show that the convergence rate of our algorithm outperforms the conventional linear case.