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URN: urn:nbn:de:swb:90-139009

Bayesian Estimation of Distributed Phenomena using Discretized Representations of Partial Differential Equations

Sawo, Felix; Roberts, Kathrin; Hanebeck, Uwe D.

Abstract:
This paper addresses a systematic method for the reconstruction and the prediction of a distributed phenomenon characterized by partial differential equations, which is monitored by a sensor network. In the first step, the infinite-dimensional partial differential equation, i.e. distributed-parameter system, is spatially and temporally decomposed leading to a finite-dimensional state space form. In the next step, the state of the resulting lumped-parameter system, which provides an approximation of the solution of the underlying partial differential equations, is dynamically estimated under consideration of uncertainties both occurring in the system and arising from noisy measurements. By using the estimation results, several additional tasks can be achieved by the sensor network, e.g. optimal sensor placement, optimal scheduling, and model improvement. The performance of the proposed model-based reconstruction method is demonstrated by means of simulations.


Zugehörige Institution(en) am KIT Institut für Anthropomatik (IFA)
Publikationstyp Proceedingsbeitrag
Jahr 2006
Sprache Englisch
Identifikator KITopen-ID: 1000013900
Erschienen in Proceedings / ICINCO 2006 - Third International Conference on Informatics in Control, Automation and Robotics, 1 - 5 August 2006, Setúbal, Portugal; 1 CD-ROM
Verlag Setúbal
Seiten 16 - 23
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