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Paper details
Number 1 - March 2018
Volume 28 - 2018
Distributed scheduling of measurements in a sensor network for parameter estimation of spatio-temporal systems
Maciej Patan, Damian Kowalów
Abstract
The main aim of the paper is to develop a distributed algorithm for optimal node activation in a sensor network whose
measurements are used for parameter estimation of the underlying distributed parameter system. Given a fixed partition of
the observation horizon into a finite number of consecutive intervals, the problem under consideration is to optimize the
percentage of the total number of observations spent at given sensor nodes in such a way as to maximize the accuracy of
system parameter estimates. To achieve this, the determinant of the Fisher information matrix related to the covariance
matrix of the parameter estimates is used as the qualitative design criterion (the so-called D-optimality). The proposed
approach converts the measurement scheduling problem to a convex optimization one, in which the sensor locations are
given a priori and the aim is to determine the associated weights, which quantify the contributions of individual gaged sites to the total measurement plan. Then, adopting a pairwise communication scheme, a fully distributed procedure for
calculating the percentage of observations spent at given sensor locations is developed, which is a major novelty here.
Another significant contribution of this work consists in derivation of necessary and sufficient conditions for the optimality
of solutions. As a result, a simple and effective computational scheme is obtained which can be implemented without
resorting to sophisticated numerical software. The delineated approach is illustrated by simulation examples of a sensor
network design for a two-dimensional convective diffusion process.
Keywords
sensor network, distributed parameter system, parameter estimation, experimental design, sensor scheduling