2016/02/02 by Sai Zhang, Cihan Tepedelenlioglu, Zhang, Sai +5 · 1 citation
Computer Science · #Distributed Control Multi-Agent Systems #Distributed Sensor Networks and Detection Algorithms #Energy Efficient Wireless Sensor Networks
paper · pdf · doi:10.48550/arxiv.1602.01128
A distributed consensus algorithm for estimating the maximum value of the\ninitial measurements in a sensor network with communication noise is proposed.\nIn the absence of communication noise, max estimation can be done by updating\nthe state value with the largest received measurements in every iteration at\neach sensor. In the presence of communication noise, however, the maximum\nestimate will incorrectly drift and the estimate at each sensor will diverge.\nAs a result, a soft-max approximation together with a non-linear consensus\nalgorithm is introduced herein. A design parameter controls the trade-off\nbetween the soft-max error and convergence speed. An analysis of this trade-off\ngives a guideline towards how to choose the design parameter for the max\nestimate. We also show that if some prior knowledge of the initial measurements\nis available, the consensus process can converge faster by using an optimal\nstep size in the iterative algorithm. A shifted non-linear bounded transmit\nfunction is also introduced for faster convergence when sensor nodes have some\nprior knowledge of the initial measurements. Simulation results corroborating\nthe theory are also provided.\n