International Journal of applied mathematics and computer science

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Paper details

Number 3 - September 2008
Volume 18 - 2008

Mobile sensor routing for parameter estimation of distributed systems using the parallel tunneling method

Tomasz Zięba, Dariusz Uciński

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.

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

DOI
10.2478/v10006-008-0028-5