Korbicz, Józef - ed. ; Sauter, Dominique - ed.
The problem of fault detection in distributed parameter systems (DPSs) is formulated as that of maximizing the power of a parametric hypothesis test which checks whether or not system parameters have nominal values. A computational scheme is provided for the design of a network of observation locations in a spatial domain that are supposed to be used while detecting changes in the underlying parameters of a distributed parameter system. ; The setting considered relates to a situation where from among a finite set of potential sensor locations only a subset 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. Then, the solution of a resulting combinatorial problem is determined based on the branch-and-bound method. As its essential part, a relaxed problem is discussed in which the sensor locations are given a priori and the aim is to determine the associated weights, which quantify the contributions of individual gauged sites. ; The concavity and differentiability properties of the criterion are established and a gradient projection algorithm is proposed to perform the search for the optimal solution. The delineated approach is illustrated by a numerical example on a sensor network design for a two-dimensional convective diffusion process.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, volume 18, number 4 (2008) ; kliknij tutaj, żeby przejść
Biblioteka Uniwersytetu Zielonogórskiego
2024-04-08
2024-04-08
27
https://zbc.uz.zgora.pl/repozytorium/publication/88510
Nazwa wydania | Data |
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Configuring a sensor network for fault detection in distributed parameter systems | 2024-04-08 |
Uciński, Dariusz Korbicz, Józef - red. Uciński, Dariusz - red.
Uciński, Dariusz Patan, Maciej (1975- ) Korbicz, Józef - red. Uciński, Dariusz - red.
Walkowiak, Krzysztof Korbicz, Józef - red. Uciński, Dariusz - red.
Mann, Zoltán Ádám Szép, Tamás Korbicz, Józef - red. Uciński, Dariusz - red.
Patan, Maciej (1975- ) Klimkowicz, Kamil Patan, Krzysztof
Janczak, Andrzej Korbicz, Józef - red. Patton, Ronald J. - red.
Uciński, Dariusz Korbicz, Józef - red. Uciński, Dariusz - red.
Rauh, Andreas Senkel, Luise Aschemann, Harald Saurin, Vasily V. Kostin, Georgy V. Korbicz, Józef - red. Uciński, Dariusz - red.