A consensus-based distributed calibration algorithm for sensor networks

• Published in: Serbian journal of electrical engineering Vol. 13; no. 1; pp. 111 - 132
• Main Authors: Stankovic, Milos, Stankovic, Srdjan, Johansson, Karl
• Format: Journal Article
• Language: English
• Published: Faculty of Technical Sciences in Cacak 2016
• Subjects: Calibration; Consensus; Convergence; Sensor networks; Stochastic approximation
• ISSN: 1451-4869; 2217-7183
• DOI: 10.2298/SJEE1601111S

In this paper a novel distributed algorithm for blind macro-calibration in
sensor networks based on consensus is proposed. The algorithm is formulated
as a set of gradient-type recursions for estimating parameters of sensor
calibration functions, starting from local criteria defined as weighted sums
of mean square differences between the outputs of neighboring sensors. It is
proved that the algorithm achieves asymptotic agreement for sensor gains and
offsets in the mean square sense and with probability one. In the case of
additive measurement noise, additive inter-agent communication noise and
communication outages, a modification of the original algorithm is proposed.
It is proved using stochastic approximation arguments that the modified
algorithm achieves asymptotic consensus for sensor gains and offsets in the
mean square sense and with probability one. Special attention is paid to the
situation when one sensor is selected as a reference. Illustrative simulation
examples are provided.
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