<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

Distributed scheduling of measurements in a sensor network for parameter estimation of spatio-temporal systems

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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...

Distributed scheduling of measurements in a sensor network for parameter estimation of spatio-temporal systems

Published Online: Mar 31, 2018

Page range: 39 - 54

Received: Jan 31, 2017

Accepted: Aug 09, 2017

DOI: https://doi.org/10.2478/amcs-2018-0003

Keywords
sensor network, distributed parameter system, parameter estimation, experimental design, sensor scheduling

© by Maciej Patan

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Distributed scheduling of measurements in a sensor network for parameter estimation of spatio-temporal systems

Published Online: Mar 31, 2018

Page range: 39 - 54

Received: Jan 31, 2017

Accepted: Aug 09, 2017

DOI: https://doi.org/10.2478/amcs-2018-0003

Keywordssensor network, distributed parameter system, parameter estimation, experimental design, sensor scheduling

© by Maciej Patan

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
sensor network, distributed parameter system, parameter estimation, experimental design, sensor scheduling