<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>The work treats the problem of fault detection for processes described by partial differential equations as that of maximizing the power of a parametric hypothesis test which checks whether or not system parameters have nominal values. A simple node activation strategy is discussed for the design of a sensor network deployed in a spatial domain that is supposed to be used while detecting changes in the underlying parameters which govern the process evolution. The setting considered relates to a situation where from among a finite set of potential sensor locations only a subset of them can be selected because of the cost constraints. As a suitable performance measure, the <italic>D<sub>s</sub></italic>-optimality criterion defined on the Fisher information matrix for the estimated parameters is applied. The problem is then formulated as the determination of the density of gauged sites so as to maximize the adopted design criterion, subject to inequality constraints incorporating a maximum allowable sensor density in a given spatial domain. The search for the optimal solution is performed using a simplicial decomposition algorithm. The use of the proposed approach is illustrated by a numerical example involving sensor selection for a two-dimensional diffusion process.</p></abstract>

The work treats the problem of fault detection for processes described by partial differential equations as that of maximizing the power of a parametric hypothesis test which checks whether or not system parameters have nominal values. A simple node activation strategy is discussed for the design of a sensor network deployed in a spatial domain that is supposed to be used while detecting changes in the underlying parameters which govern the process evolution. The setting considered relates to a situation where from among a finite set of potential sensor locations only a subset of them can be selected because of the cost constraints. As a suitable performance measure, the Ds-optimality criterion defined on the Fisher information matrix for the estimated parameters is applied. The problem is then formulated as the determination of the density of gauged sites so as to maximize the adopted design criterion, subject to inequality constraints incorporating a maximum allowable sensor density in a given spatial domain. The search for the optimal solution is performed using a simplicial decomposition algorithm. The use of the proposed approach is illustrated by a numerical example involving sensor selection for a two-dimensional diffusion process.

Sensor network scheduling for identification of spatially distributed processes

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

{"article-title":"Sensor network scheduling for identification of spatially distributed processes"}

The work treats the problem of fault detection for processes described by partial differential equations as that of maximizing the power of a parametric...

Sensor network scheduling for identification of spatially distributed processes

Published Online: Mar 22, 2012

Page range: 25 - 40

DOI: https://doi.org/10.2478/v10006-012-0002-0

Keywords
sensor network, parameter estimation, distributed parameter system, optimum experimental design, Fisher information matrix

This content is open access.

Sensor network scheduling for identification of spatially distributed processes

Published Online: Mar 22, 2012

Page range: 25 - 40

DOI: https://doi.org/10.2478/v10006-012-0002-0

Keywordssensor network, parameter estimation, distributed parameter system, optimum experimental design, Fisher information matrix

This content is open access.

Keywords
sensor network, parameter estimation, distributed parameter system, optimum experimental design, Fisher information matrix