<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>The paper deals with the problem of optimal path planning for a sensor network with mutliple mobile nodes, whose measurements are supposed to be primarily used to estimate unknown parameters of a system modelled by a partial differential equation. The adopted framework permits to consider two- or three-dimensional spatial domains and correlated observations. Since the aim is to maximize the accuracy of the estimates, a general functional defined on the relevant Fisher information matrix is used as the design criterion. Central to the approach is the parameterization of the sensor trajectories based on cubic B-splines. The resulting finite-dimensional global optimization problem is then solved using a parallel version of the tunneling algorithm. A numerical example is included to clearly demonstrate the idea presented in the paper.</p></abstract>

The paper deals with the problem of optimal path planning for a sensor network with mutliple mobile nodes, whose measurements are supposed to be primarily used to estimate unknown parameters of a system modelled by a partial differential equation. The adopted framework permits to consider two- or three-dimensional spatial domains and correlated observations. Since the aim is to maximize the accuracy of the estimates, a general functional defined on the relevant Fisher information matrix is used as the design criterion. Central to the approach is the parameterization of the sensor trajectories based on cubic B-splines. The resulting finite-dimensional global optimization problem is then solved using a parallel version of the tunneling algorithm. A numerical example is included to clearly demonstrate the idea presented in the paper.

Mobile Sensor Routing for Parameter Estimation of Distributed Systems Using the Parallel Tunneling Method

Institute of Control and Computation Engineering, University of Zielona Góra, ul. Podgórna 50, 65-246 Zielona Góra, Poland

International Journal of Applied Mathematics and Computer Science

The paper deals with the problem of optimal path planning for a sensor network with mutliple mobile nodes, whose measurements are supposed to be primarily used...

Mobile Sensor Routing for Parameter Estimation of Distributed Systems Using the Parallel Tunneling Method

Published Online: Oct 06, 2008

Page range: 307 - 318

DOI: https://doi.org/10.2478/v10006-008-0028-5

Keywords
sensor network, distributed parameter systems, optimum experimental design, tunneling algorithm, parallel computing

This content is open access.

Mobile Sensor Routing for Parameter Estimation of Distributed Systems Using the Parallel Tunneling Method

Published Online: Oct 06, 2008

Page range: 307 - 318

DOI: https://doi.org/10.2478/v10006-008-0028-5

Keywordssensor network, distributed parameter systems, optimum experimental design, tunneling algorithm, parallel computing

This content is open access.

Keywords
sensor network, distributed parameter systems, optimum experimental design, tunneling algorithm, parallel computing