- Tytuł:
- Configuring a sensor network for fault detection in distributed parameter systems
- Autorzy:
-
Patan, M.
Uciński, D. - Powiązania:
- https://bibliotekanauki.pl/articles/929887.pdf
- Data publikacji:
- 2008
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
metoda podziału i ograniczeń
ograniczony plan eksperymentu
układ o parametrach rozłożonych
detekcja uszkodzeń
estymacja parametryczna
rozmieszczanie czujników
branch-and-bound
constrained experimental design
distributed parameter system
fault detection
parameter estimation
sensor location - Opis:
- 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.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2008, 18, 4; 513-524
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł